I BTECH I... · ||''''|||''|'''||''| Subject Code: R13105/R13 I B. Tech I Semester Supplementary...

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Subject Code: R13105/R13 I B. Tech I Semester Supplementary Examinations Aug. - 2015

COMPUTER PROGRAMMING (Common to CE, ME, CSE, PCE, IT, Chem E, Aero E, AME, Min E, PE, Metal E)

Time: 3 hours Max. Marks: 70 Question Paper Consists of Part-A and Part-B

Answering the question in Part-A is Compulsory,

Three Questions should be answered from Part-B

*****

PART-A

1.(a) Draw flow chart for the biggest of three no’s.

(b) What do you mean by iteration? Give examples.

(c) Discuss about the keyword auto with examples.

(d) Write a program to swap two numbers without using temporary variable.

(e) Explain about the importance of the typedef with examples.

(f) write a program to copy one file contents into another file.

[3+4+4+4+3+4]

PART- B

2.(a) Differentiate between pre increment, post increment and decrement operators with

examples.

(b) Write a program to display pascal triangle.

[8+8]

3.(a) What is the need of the iterations and selection? Explain each of the statements with

examples.

(b) Write a program to find the GCD of the given two numbers

[6+10]

4.(a) Write short notes on user defined functions.

(b) Explain about standard library functions.

(c) Discuss about c preprocessor with examples.

[4+6+6]

5.(a) What is pointer? Explain about pointers to pointers.

(b) Write a program to find whether the given number is strong number or not by using

command line arguments.

[8+8]

6.(a) Discuss about self referential structures with examples.

(b) Write a program to print 60 students’ total marks and grades.

[8+8]

7.(a) Explain about different types of files with examples.

(b) Write a program to merge two files into another file.

[8+8]

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Page 1 of 1

Set No - 1

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*****

PART-A

1.(a) Draw flow chart for the Armstrong no.

(b) Is do while and while do are same? Compare.

(c) Discuss about the keyword Register with examples.

(d) Write a program to swap two numbers using pass by address.

(e) What are self refined structures? Discuss.

(f) Explain about the fscanf system call with examples.

[4+3+4+4+3+4]

PART- B

2.(a) Discuss about the computer languages with examples.

(b) Write a program to calculate the series 1+1/2 +1/3+1/4+1/5….1/n

[8+8]

3.(a) How do you differentiate between switch and else-if? Explain with examples.

(b) Write a program which performs arithmetic operations.

[8+8]

4.(a) What is recursion? Explain with examples.

(b) Write a recursive program for the GCD.

[8+8]

5.(a) What is character pointer? How to initialize pointer variables? Discuss.

(b) Write a program to find whether the given number is prime number or not by using


[8+8]

6.(a) Explain about the bit-wise operators.

(b) Write a program to print the one’s compliment for the given number.

[8+8]

7.(a) Discuss about input and output operations of files.

(b) Write a program for copy one file into another file

[8+8]

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Page 1 of 1

Set No - 2

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*****

PART-A

1.(a) Draw flow chart for the factorial of a number.

(b) If break was not given in the switch statement, what happens? Explain with example.

(c) Discuss about the keyword Static with examples.

(d) Explain about the passing parameters using addresses.

(e) How masking is done? Discuss with examples.

(f) Explain about the fprintf system call with examples.

[3+4+4+4+3+4]

PART- B

2.(a) Discuss about relational and logical operators with examples.

(b) write a program to print the following series on screen.

1

1 2

1 2 3

1 2 3 4

1 2 3 4 5

[8+8]

3.(a) What is array? How to create and access array elements? Explain.

(b) Write a program to print the symmetric matrix.

[6+10]

4. Explain about the towers of Hanoi problem and also give algorithm of towers of Hanoi.

[16]

5.(a) What is dynamic memory allocation? Discuss with examples.

(b) Write a program to swap two numbers using pointers.

[8+8]

6.(a) What are the advantages of structures and unions? Discuss.

(b) How to access structure elements? Discuss.

(c) Write a program to print the binary number for the given digit number.

[6+4+6]

7.(a) Discuss about formatted I/O

(b) Write a program to print the each letter of the first word into upper case.

[8+8]

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Page 1 of 1

Set No - 3

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Subject Code: R13105/R13 I B. Tech I Semester Supplementary Examinations Aug.- 2015





*****

PART-A

1.(a) Draw the flow chart for swapping two numbers.

(b) Differentiate between break and continue.

(c) Discuss about the keyword extern with examples.

(d) How to pass the parameters to other functions? Discuss.

(e) Explain about shift operator with examples.

(f) Differentiate between text files and binary files.

[4+3+4+4+3+4]

PART- B

2.(a) Define conditional expressions with examples.

(b) write a program to print the following series on screen.

1

2 1

3 2 1

4 3 2 1

5 4 3 2 1

[8+8]

3.(a) What is string? Explain different string functions with examples.

(b) write a program to find whether the given string is palindrome or not.

[10+6]

4. What are different storage classes? Explain each of them with examples.

[16]

5.(a) What are command line arguments? Give examples.

(b) Write a program for matrix multiplication using pointers

[8+8]

6.(a) Differentiate between structures and unions.

(b) Write a program to calculate the Gross and net salaries of the employee using the

structure (consider DA is 30% of basic, HRA is 15% of basic and CCA is 2% of basic).

[8+8]

7.(a) Explain about the operations which can be performed on files.

(b) Write a program to display file records on the screen.

[8+8]

*****

Page 1 of 1

Set No - 4

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ENGINEERING CHEMISTRY (Common to CE, ME, CSE, PCE, IT, Chem.E, Aero.E, AME, Min.E, PE, Metal.E)




*****

PART-A

1.(a) Explain why hard water is not fed into boilers.

(b) Give reasons why gasoline mixed with anti-knocking agents is used as fuel in internal

combustion engine.

(c) Explain the importance of vulcanization of natural rubber.

(d) Differentiate between galvanic cell and concentration cell.

(e) Write notes on (i) Galvanizing and tinning (ii) biodegradable Polymers

[4+3+4+3+8]

PART-B

2.(a) Write a note on sterilization and disinfection of water.

(b) Find the emf of the following cell

Zn/Zn2+

(0.002M)//Fe2+

(0.001M)/Fe, given that 0

CELLE : 1.2 volt.

(c) Discuss differential aeration corrosion.

[6+5+5]

3.(a) What are elastomers? Explain the preparation and uses of styrene butadiene rubber.

(b) With a neat labeled diagram explain any one method of desalination of water.

(c) Write notes on CNG and LPG.

[6+5+5]

4.(a) What is Kohlraush Law. Discuss its applications.

(b) Give any five engineering applications of liquid crystals.

(c) Discuss how water is softened by cold lime soda process.

[6+5+5]

5. (a) Write notes on metallic coatings.

(b) Explain the construction and working of concentration cell.

(c) Discuss the mechanical properties of polymers.

[6+5+5]

6.(a) A sample of coal was analyzed as follows: 3.0 g was weighed into a silica crucible. After

heating to one hour at 1100C, the residue was 2.845 g. The crucible next was covered

with a vented lid and strongly heated exactly 7 min at 950 + 200C. The residue weighed

2.235g. The crucible was heated without the cover, until constant weight was obtained.

The last residue was found to be 0.355g. Calculate the % results of the above analysis.

(b) Discuss chemical theory of corrosion.

(c) Describe supercritical fluid extraction method for green synthesis.

[6+5+5]

7.(a) Discuss the working of photovoltaic cells and solar reflectors.

(b) Discuss fixed bed catalytic cracking method for synthesis of gasoline.

(c) Describe a moulding process for fabrication of thermosetting plastics.

[6+5+5]

****

Set No - 1

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*****

PART-A

1.(a) Write down the chemical reactions that are taking place in removal of temporary and

permanent hardness by lime soda treatment.

(b) Define the units (British thermal unit and centrigrade unit) of heat and their

interconversion

(c) Why plasticizers, fillers and stabilizers are used during moulding of plastics? Give

examples for each of them.

(d) Define specific and equivalent conductance, mention their units.

(e) Explain the need of green chemistry.

(f) Explain how corrosion of iron is prevented by galvanization.

[4+2+5+3+4+4]

PART-B

2.(a) Discuss the formation of scales and sludges in boilers. Explain how they can be removed.

(b) Explain the construction and working of calomel electrode.

(c) Explain the role of metal oxide film in dry corrosion and classify them.

[5+6+5]

3.(a) Write the structures of (i) Thiokol (ii) PVC (iii) BUNA-S (iv) Bakelite

(b) Discuss the requirements of potable water.

(c) Discuss the fractional distillation of petroleum.

[6+5+5]

4.(a) Explain the variations in conductance during titrations between

(i) strong acid vs weak base and (ii) weak acid and weak base

(b) Explain the influence of CO2 and SO2 deterioration of cement concrete.

(c) Discuss the advantages of permutit process over lime soda process.

[6+5+5]

5.(a) What are paints? Discuss its constituents and their functions.

(b) Discuss with a labeled diagram the construction and working of H2-O2 cell.

(c) Give any five applications of elastomers.

[6+5+5]

6.(a) Explain petrol knocking and diesel knocking.

(b) Explain how proper design and material selection minimize the metallic corrosion.

(c) Discuss any one preparation method of carbon nanotubes.

[6+5+5]

7.(a) Discuss the types of liquid crystals.

(b) Calculate gross and net calorific value of coal having the following composition:

C= 83%; H = 7.5%; S = 3%, N = 5% remaining ash. Assume latent heat of steam.

(c) Discuss the preparation and properties of poly ethylene.

[6+5+5]

*****

Set No - 2

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*****

PART-A

1.(a) What is buffer solution? Why is it used in the determination of hardness of water by

EDTA method.

(b) Discuss the preparation of Thiokol and write its applications.

(c) Explain how specific and equivalent conductance varies with dilution.

(d) Write notes on conducting polymers.

(e) Discuss gross and net calorific value.

[4+4+4+5+5]

PART-B

2.(a) Describe the principle and procedure involved in zeolite process for treatment of water.

(b) Discuss the anodic, cathodic and net reactions occurred in methanol - oxygen fuel cell.

(c) Explain electrochemical theory of wet corrosion.

[6+5+5]

3.(a) Explain how natural rubber is obtained from latex and mention its disadvantages.

(b) Write notes on boiler corrosion.

(c) A gas has the following composition by volume: H2 = 38%, CH4 = 17%, N2 = 32%, O2 =

12 %. If 25 % excess air is used, find the volume of air required for complete combustion

of 1 m3 of gaseous fuel.

[6+5+5]

4.(a) Explain potentiometric titrations.

(b) Discuss the preparation of Kevlar and its engineering applications.

(c) What are anionic and cationic exchange resins? Give examples and write their structures.

[6+5+5]

5.(a) Explain the following factors that influence the rate of corrosion

(i) Over voltage (ii) ratio of anodic and cathodic area (iii) passive character of metal

(b) Explain the determination of pH of a solution by using glass electrode.

(c) Describe moulding technique for fabrication of thermoplastic materials.

[6+5+5]

6.(a) Explain refining of petroleum.

(b) Distinguish between anodic and cathodic coatings.

(c) Discuss the properties of fullerenes.

[6+5+5]

7.(a) Discuss the principles of green chemistry.

(b) Explain the preparation and properties of Bakelite.

(c) Discuss the advantages of gaseous fuels.

[6+5+5]

*****

Set No - 3

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*****

PART-A

1.(a) Explain why hardness of water is expressed in terms of calcium carbonate.

(b) Mention any five characteristics of a good coal.

(c) Write the differences between addition and condensation polymerization.

(d) Write the mathematical expression of Nernst equation for the potential of the cell

Zn(s)/Zn(aq)// Ag2+

(aq)/Ag(s)

(e) Discuss sacrificial anodic and impressed current cathodic protection.

(f) Write notes on fiber reinforced plastics.

[2+4+5+2+4+5]

PART-B

2.(a) What are temporary and permanent hardness. Explain how hardness can be removed by

ion-exchange method.

(b) What are secondary batteries? Explain the construction and working (charging and

discharging) of lead acid storage battery.

[8+8]

3.(a) Discuss (i) ion-selective electrode (ii) electrochemical series

(b) Describe Orsat process for analysis of flue gases.

[8+8]

4.(a) Discuss hot dipping and electroless plating methods for protection of metal from

corrosion.

(b) Write notes on (i) caustic embrittlement (ii) Priming and foaming

[8+8]

5.(a) Write notes on (i) stereospecific polymers (ii) Physical properties of polymers.

(b) Describe setting and hardening of cement.

[8+8]

6.(a) Write briefly about ultimate analysis of coal.

(b) Explain compounding of plastics.

[8+8]

7.(a) Describe phase transfer and aqueous phase methods for green synthesis.

(b) Explain the following factors affecting rate of corrosion:

(i) Humidity of air

(ii) Presence of impurities in atmosphere

(iii) nature of surface film

[8+8]

*****

Set No - 4

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Subject Code: R13109/R13 I B. Tech I Semester Supplementary Examinations August - 2015

ENGINEERING DRAWING (Common to ECE, EEE, EIE, Bio-Tech, EComE, Agri.E)




*****

PART-A

1.(a) Draw the projections of a triangular prism, base 40 mm side and axis 50 mm long, resting

on one of its bases on the H.P. with a vertical face perpendicular to the V.P.

(b) Draw the isometric view of the given two views.

[10+12]

PART-B

2.(a) A point P is 20 mm below H.P, and lies in the third quadrant. Its shortest distance from xy

is 40 mm. Draw its projections.

(b) The major and minor axes of an ellipse are 140 mm and 90 mm respectively. Find the foci

and draw the ellipse using arcs of circle method. Draw a tangent and a normal to the

ellipse at a point 40 mm above the major axis.

[8+8]

3.(a) The distance between two stations by road is 200 km and it is represented on a certain map

by a 5 cm long line. Find the R.F. and construct a diagonal scale showing single kilometre

and long enough to measure up to 600 km. Show a distance of 467 km on this scale.

(b) The front view of a 75 mm long line measures 55 mm. The line is parallel to the H.P. and

one of its ends is in the V.P. and 25 mm above the H.P. Draw the projections of the line

and determine its inclination with the V.P.

[8+8]

4. A line AB, inclined at 40o to the V.P., has its ends 50 mm and 20 mm above the H.P. The

length of its front view is 65 mm and its V.T. is 10 mm above the H.P. Determine the true

length of AB, its inclination with the H.P. and its H.T.

[16]

Page 1 of 2

Set No - 1

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Subject Code: R13109/R13 5. A hexagonal plane of side 30 mm has a corner on the ground. Its surface is inclined at 45

o

to the H.P. and the top view of the diagonal through the corner which is in the H.P. makes

an angle of 60o with the V.P. Draw its projections.

[16]

6. A cone of base diameter 50 mm and axis 60 mm has a generator in the V.P. and the axis

parallel to the H.P. Draw its projections.

[16]

7. Draw the front, top and side views for the following figure. All dimensions are in mm.

[16]

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Page 2 of 2

Set No - 1

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Subject Code: R13109/R13 I B. Tech I Semester Supplementary Examinations July - 2015





*****

PART-A

1.(a) The major axis of an ellipse is 150 mm long and the minor axis is 100 mm long. Find the

foci and draw the ellipse by ‘arcs of circles’ method. Draw a tangent to the ellipse at a

point on it 25 mm above the major axis.

(b) A cylinder block of base, 60 mm diameter and height 80 mm, standing on the H.P. with its

axis perpendicular to the H.P. Draw its isometric view.

[10+12]

PART-B

2.(a) Two points A and B are in the H.P. The point A is 30 mm in front of the V.P., while B is

behind the V.P. The distance between their projectors is 75 mm and the line joining their

top views makes an angle of 45o with xy. Find the distance of the point B from the V.P.

(b) The distance between two stations is 100 km and on a road map it is shown by 30 cm.

Draw a diagonal scale and mark 46.8 km and 32.4 km on it.

[8+8]

3.(a) An 80 mm long line MN has its end M, 15 mm in front of the V.P. The distance between

the ends projector is 50 mm. The front view is parallel to and 20 mm above reference line.

Draw the projections of the line and determine its inclination with the V.P.

(b) A line PQ 100 mm long, is inclined at 30o to the H.P. and at 45

o to the V.P. Its mid-point

is in the V.P. and 20 mm above the H.P. Draw its projections, if its end P is in the third

quadrant and Q in the first quadrant.

[8+8]

4. A line PQ inclined at 30o to the V.P. has the end P, 15 mm above the H.P. Its front view

measures 70 mm and is inclined at 45o to reference line. The V.T. of the line is 25 mm

below the H.P. Draw the projections of the line PQ and determine its true length and the

H.T.

[16]

5. The diagonals of a rhombus measure 100 mm and 40 mm. The longer diagonal is inclined

at 30o to H.P. with an end in H.P. and the smaller diagonal is parallel to both the principal

planes. Draw its projections.

[16]

6. A hexagonal pyramid of base edge 30 mm and axis 60 mm, is lying on a slant edge on the

ground with the axis parallel to the V.P. Draw its projections when the face containing the

resting edge are equally inclined to the H.P.

[16]

Page 1 of 2

Set No - 2

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Subject Code: R13109/R13 7. Draw the front, top and side views for the following figure. All dimensions are in mm.

[16]

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Page 2 of 2

Set No - 2

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Subject Code: R13109/R13

I B. Tech I Semester Supplementary

ENGINEERING DRAWING(Common to ECE, EEE, EIE, Bio

Time: 3 hours Max. Marks: 70Question Paper Consists of

Answering the question in

Three Questions should be answered from

1.(a) A line AB, 90 mm long, is inclined at 45

60o with the V.P. The ends A is in the H.P. and 12 mm in front of the V.P. Draw its front

view and find its true inclination with the V.P.

(b) Draw the front, top and side views for the following figure. All dimensions are in mm.

2.(a) A point 30 mm above xy line is the plan

45 mm above the H.P. while that of the point Q is

projections of the points and state their position with reference to the principal planes and

the quadrant in which they lie.

(b) The foci of an ellipse are 90 mm apart and the minor axis is 65 mm long. Determine the

length of the major axis and draw the ellipse by oblong method.

3.(a) If 1 cm long line on a map represents a real length of 4 m. Calculate the R.F. and draw a

vernier scale long enough to measure up to 50 m. Show a distance of 44.5 m in it.

(b) A 55 mm long line PQ is perpendicular to the H.P. and 25 mm in front of the V.P. Draw

its projections when one end of the line is 15 mm above the H.P.

Subject Code: R13109/R13 I B. Tech I Semester Supplementary Examinations July


Time: 3 hours Max. Marks: 70Question Paper Consists of Part-A and Part-B



*****

PART-A

A line AB, 90 mm long, is inclined at 45o to the H.P. and its top view makes an angle of

with the V.P. The ends A is in the H.P. and 12 mm in front of the V.P. Draw its front


Draw the front, top and side views for the following figure. All dimensions are in mm.

PART-B

A point 30 mm above xy line is the plan-view of two points P and Q. The elevation of P is

45 mm above the H.P. while that of the point Q is 35 mm below the H.P. Draw the



The foci of an ellipse are 90 mm apart and the minor axis is 65 mm long. Determine the

ength of the major axis and draw the ellipse by oblong method.

If 1 cm long line on a map represents a real length of 4 m. Calculate the R.F. and draw a


A 55 mm long line PQ is perpendicular to the H.P. and 25 mm in front of the V.P. Draw

its projections when one end of the line is 15 mm above the H.P.

Page 1 of 2

Examinations July - 2015

Time: 3 hours Max. Marks: 70

to the H.P. and its top view makes an angle of

with the V.P. The ends A is in the H.P. and 12 mm in front of the V.P. Draw its front

Draw the front, top and side views for the following figure. All dimensions are in mm.

[10+12]

view of two points P and Q. The elevation of P is

35 mm below the H.P. Draw the


The foci of an ellipse are 90 mm apart and the minor axis is 65 mm long. Determine the

[8+8]

If 1 cm long line on a map represents a real length of 4 m. Calculate the R.F. and draw a


A 55 mm long line PQ is perpendicular to the H.P. and 25 mm in front of the V.P. Draw

[8+8]

Set No - 3

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Subject Code: R13109/R13 4. The front view of a line PQ

30 mm in front of the V.P. whereas the V.T. is 20 mm below the H.P. One end of the line

is 15 mm above the H.P. and the other end of the line is 100 mm in front of the V.P.

the projections of the line PQ and determine its true length and true angles of inclination

with the reference planes.

5. A 30 – 60 set-square has its 75 mm long hypotenuse in the V.P. and inclined at 30

H.P. The surface is inclined at 45

6. A pentagonal pyramid of base side 30 mm and axis 55 mm has a triangular face in the V.P.

and the base edge contained by that triangular face is perpendicular to the H.P. Draw its

projections.

7. Draw the isometric view of the given two views.


The front view of a line PQ is inclined at 30o to the reference line. The H.T. of the line is


is 15 mm above the H.P. and the other end of the line is 100 mm in front of the V.P.

ctions of the line PQ and determine its true length and true angles of inclination

with the reference planes.

square has its 75 mm long hypotenuse in the V.P. and inclined at 30

H.P. The surface is inclined at 45o to the V.P. Draw three views of the set

A pentagonal pyramid of base side 30 mm and axis 55 mm has a triangular face in the V.P.


Draw the isometric view of the given two views.

*****

Page 2 of 2

to the reference line. The H.T. of the line is


is 15 mm above the H.P. and the other end of the line is 100 mm in front of the V.P. Draw

ctions of the line PQ and determine its true length and true angles of inclination

[16]

square has its 75 mm long hypotenuse in the V.P. and inclined at 30o to the

he V.P. Draw three views of the set-square.

[16]

A pentagonal pyramid of base side 30 mm and axis 55 mm has a triangular face in the V.P.


[16]

[16]

Set No - 3

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Subject Code: R13109/R13 I B. Tech I Semester Supplementary Examinations July - 2015





*****

PART-A

1.(a) An 80 mm long line PQ has its end P, 10 mm above the H.P. and 25 mm in front of the

V.P. The line is inclined at 30o to the H.P. and 60

o to the V.P. Draw its projections.

(b) A plate having shape of an isosceles triangle has base 40 mm and altitude 54 mm. It is so

placed that in the front view it is seen as an equilateral triangle of side 40 mm having a

side inclined at 45o to the reference line. Draw its top view.

[12+10]

PART-B

2.(a) A point P is in the first quadrant. Its shortest distance from the intersection point of H.P.,

V.P. and Auxiliary vertical plane, perpendicular to the H.P. and V.P. is 70 mm and it is

equidistant from principle planes( H.P. and V.P.). Draw the projections to the point and

determine its distance from the H.P. and V.P.

(b) Draw a vernier scale of R.F. = 25

1 to read centimetres up to 4 metres and on it, show

lengths representing 2.39 m and 0.91 m.

[8+8]

3.(a) The front view of a line, inclined at 30o to the V.P. is 65 mm long. Draw the projections

on the line, when it is parallel to and 40 mm above the H.P., its one end being 30 mm in

front of the V.P.

(b) Inscribe an ellipse in a parallelogram having sides 150 mm and 100 mm long and an

included angle of 120o .

[8+8]

4. A 100 mm long line PQ has the end P 50 mm in front of the V.P. The H.T. is 60 mm in

front of the V.P. and V.T. is 80 mm above the H.P. The distance between the H.T. and the

V.T. is 130 mm. Draw the projections of the line PQ and determine its inclinations with

the H.P. and the V.P.

[16]

5. A pentagonal prism of base side 30 mm and axis 60 mm has one of its rectangular faces

on the H.P. and the axis inclined at 60o to the V.P. Draw its projections.

[16]

6. Draw the isometric view of a hexagonal pyramid of base side 30 mm and axis 60 mm

long. The pyramid is kept on its base on the V.P.

[16]

Page 1 of 2

Set No - 4

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Subject Code: R13109/R13 7. Draw the front, top and side views for the following figure. All dimensions are in mm.

[16]

*****

Page 2 of 2

Set No - 4

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Subject Code: R13110/R13 I B. Tech I Semester Supplementary Examinations Aug. – 2015

ENGINEERING MECHANICS (Common to CE, ME, CSE, PCE, IT, Chem E, Aero E, AME, Min E, PE, Metal E)




*****

PART-A

1.(a) What is the theorem used for the equilibrium of a particle applied with the three coplanar,

concurrent forces? State and prove.

(b) Why static coefficient of friction is always greater than kinetic coefficient of friction?

(c) What is the moment of inertia of a triangular lamina about its horizontal centroidal axis?

(d) What is the centroid of a rectangle, circle and triangle about the both axes?

(e) The velocity of a particle is given by V =4t3- 5t

2, when does the acceleration of the

particle become zero?

(f) Write the equations of translation.

[4+4+4+3+4+3]

PART –B

2.(a) Prove that the angle of friction is equal to the angle of the inclined plane, when a solid

body of weight W placed on the inclined plane is about to slide down.

(b) State and prove the converse law of polygon of forces.

[8+8]

3. Find the force in the string PS, PQ and PR shown in fig.1

Fig.1

[16]

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Set No - 1

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4.(a) Locate the centroid of the figure.2 shown below

Fig.2

(b) Derive the centre of gravity of a flat plate.

[8+8]

5.(a) Derive the mass moment of inertia of a thin disc.

(b) State and prove parallel axis theorem.

[8+8]

6.(a) Derive the expression for maximum height for projectile motion.

(b) A stone is dropped from the top of a tower. When it has fallen a distance of 10m, another

stone is dropped from a point 38m below the top of the tower. If both the stones reach the

ground at the same time, calculate the height of the tower and the velocity of the stones

when they reach the ground.

[8+8]

7.(a) Two particles of masses 10kg and 20kg are moving along a straight line towards each

other at velocities of 4m/s and 1m/s respectively. If e= 0.6, determine the velocities of the

particles immediately after collision. Also find the loss of kinetic energy.

(b) Explain the principle of conservation of energy.

[10+6]

*****

Page 2 of 2

Set No - 1

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*****

PART-A

1.(a) Find the resultant of the forces shown in the fig.1 and the angle it makes with x-axis.

Fig.1

(b) Define the Varignon’s theorem.

(c) Define centroid and centre of gravity.

(d) Find the area moment of inertia of a quarter circle of radius R.

(e) Derive the equation S= ut+2

1at

2

(f) What are the different types of rigid body motions? [4+4+4+5+3+2]

PART –B

2.(a) Two identical rollers, each of weight 200N are supported by an inclined plane and a

vertical wall as shown in the fig.2. Determine the reactions at the points of supports A, B

and C assuming all the surfaces to be smooth. Also find the reaction forces between the

spheres.

Fig: 2

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Set No - 2

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2.(b) Define Angle of repose and angle of friction.

[10+6]

3. Find the force in the string shown in the fig.3 below

Fig-3

[16]

4.(a) Locate the centroid for the shaded area as shown in the fig.4.

Fig.4 (All Dimensions are in mm)

(b) State and prove Pappus theorems I and II.

[8+8]

5.(a) Calculate the product moment of inertia for an area shown in the fig5.

Fig.5

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Set No - 2

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5.(b) Find the mass moment of inertia of a thin rod of length L about its centroidal axes.

[8+8]

6.(a) Distinguish between translation motion and rotational motion.

(b) A stone is dropped from the top of a tower .When it has fallen a distance of 8m, another

stone is dropped from a point 32m below the top of the tower. If both the stones reach the

ground at the same time, calculate the height of the tower and the velocity of the stones

when they reach the ground.

[8+8]

7.(a) Two particles of masses 12kg and 24kg are moving along a straight line towards each

other at velocities of 5m/s and 2m/s respectively. If e = 0.6, determine the velocities of the

particles immediately after collision. Also find the loss of kinetic energy.

(b) Explain the work energy principle.

[10+6]

*****

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Set No - 2

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*****

PART-A

1.(a) State laws of friction.

(b) State the principle of transmissibility of force.

(c) Derive the centre of gravity of a ‘I’ section of web 10mm x 100mm and flanges

10mm x100mm.

(d) Find moment of inertia of a rectangular section.

(e) Derive the equation v2- u

2 = 2as

(f) Define coefficient of restitution.

[2+4+5+4+4+3]

PART –B

2.(a) A force P = 911N is directed from point A (3, 2, 3) metres towards a point B (-4, 5,-1)

meters. Determine the force vector P.

(b) Explain and define the term Free Body Diagram. Draw the free body diagram of a ball of

weight W, supported by a string AB and resting against a smooth vertical wall at C and

also resting against a smooth horizontal floor at D

[8+8]

3. Three cylinders each weighing 130 N and 20cm in diameter are placed in a channel of

which is rectangular in section as shown in fig.1.

(i) Determine the pressure exerted by the cylinder A on B at the point of contact.

(ii) What are the pressures exerted by the two bottom cylinders at the base of the channel

and walls at the point of contact.

Fig.1

[16]

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4. Locate the centroid for the shaded area shown in the fig.3.

Fig-2

[16]

5.(a) State and prove Parallel Axis theorem.

(b) Find the mass moment of inertia about the centroidal axes for a right circular cone.

[8+8]

6.(a) A car travelling at a speed of v= 60 kmph is braked and comes to rest in 8sec after the

brakes are applied. Find the minimum coefficient of friction between the wheels and the

road.

(b) State and prove D’Alemberts principle.

[8+8]

7. A bullet of mass 81gm and moving with a velocity 300m/s is fired into a block of wood

and it penetrates to a depth of 12cm. If the bullet moving with the same velocity were

fired into a similar piece of wood 6cm thick, with what velocity would it emerge? Also,

find the force of resistance, assuming it to be uniform.

[16]

*****

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Set No - 3

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*****

PART-A 1.(a) Define wedge and wedge friction.

(b) State triangular law of forces. What is the use of this law?

(c) Define couple.

(d) Using Pappus theorem find the volume of a sphere of radius r.

(e) Distinguish between rectilinear motion and curvilinear motion.

(f) Derive the equation for the work done by a Torque.

[3+3+3+5+4+4]

PART –B

2. Determine the horizontal force P required for wedge B to raise block A of weight 4000N

as shown in fig.1. The coefficient of friction on all surfaces is equal to 0.3.

[16]

Fig-1

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Set No - 4

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3. Two identical rollers, each weighing 80 N are supported by an inclined plane and a

vertical wall as shown in fig.2. Determine the reactions at the points of supports A, B and

C assuming all the surfaces to be smooth. Also find the reaction forces between the

spheres.

Fig2.

[16]

4.(a) Find C.G of the composite fig.3 given below

Fig.3

(b) State and prove Parallel Axis theorem.

[8+8]

5. Determine the mass moment of inertia of a right circular cone shown in the fig.4

Fig.4

[16]

Page 2 of 3

Set No - 4

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6.(a) A homogeneous sphere of weight 120N rolls along a 300 incline without slipping. The

radius of the sphere is 100mm. Determine the acceleration of the sphere.

(b) State and prove D’Alembert’s principle.

[8+8]

7. Write about the following

(a) Coplanar concurrent forces

(b) Angular velocity and Angular acceleration

(c) Conservation of angular momentum

(d) Conservation of principle energy.

[4+4+4+4]

*****

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Set No - 4

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ENGINEERING PHYSICS (Common to ECE, EEE, EIE, Bio-Tech, EComE, Agri.E)




*****

PART-A

1.(a) What is a diffraction grating? Explain with the help of a diagram.

(b) With the help of a labeled diagram state and explain Bragg’s law.

(c) Calculate the magnetic moment associated with an electron moving in a circular orbit of

radius 0.51x 10-10

m with a frequency of 6.8 x 1014

revolutions per second.

(d) Define the term coefficient of absorption. Explain the procedure to determine the

coefficient of absorption.

(e) Explain the physical significance of wave function (ψ).

(f) Find the resistivity of intrinsic germanium at 300K, if the intrinsic carrier density is

2.5X1019

/m3

and mobility of electron and hole are 0.39m2V

-1s

-1 and 0.19m

2V

-1s

-1

respectively.

[4+4+2+4+4+4]

PART-B

2.(a) Derive an expression for the diameter of the nth dark ring in Newton’s rings viewed

under reflected system.

(b) In Newton’s rings experiment the diameter of the 10th

dark ring changes from 1.40cm

to 1.27cm when a liquid is introduced between the lens and the plate. Calculate the

refractive index of the liquid.

(c) Prove that a superconductor behaves as a perfect diamagnetic.

[8+4+4]

3.(a) Explain Einstein’s coefficients. Derive the relation between them.

(b) Calculate the numerical aperture of an optical fibre in air, if the refractive indices of its

core and cladding are 1.5 and 1.495 respectively.

(c) What is an LED? Explain its working.

[8+4+4]

4.(a) What is meant by local field in a dielectric and how is it calculated for a cubic structure?

(b) Presuming that the electronic polarizability of an atom is 10-40

Fm2 and the radius of the

sphere having negative charge distribution is 9.65x10-11

m, determine εo.

(c) Derive an expression for the electrical conductivity of a metal

[8+4+4]

5.(a) Discuss the factors affecting the architectural acoustics of a building and their remedy.

(b) Calculate the reverberation time of hall with volume of 1500m3 and whose total

absorption is equivalent to 100m2 sabine.

(c) Outline the principle behind the working of an optical fibre.

[8+4+4]

Page 1 of 2

Set No - 1

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6.(a) Explain the Kronig-Penny model of solids and show that it leads to energy band structure

of solids.

(b) Calculate the de Broglie wavelength of a neutron whose kinetic energy is 0.025eV.

Given: mass of neutron = 1.674 x 10−27

kg and Planck’s constant h = 6.625 x 10−34

J-s.

(c) Express Maxwell’s equations in differential form

[8+4+4]

7.(a) What is Hall Effect? Deduce an expression for Hall coefficient.

(b) Find the Hall voltage in silicon doped with 1023

phosphorous atoms/m3. The Si sample is

100µm thick with a current flow of 1mA for a magnetic field of 10-5

Wb/cm2

(c) Distinguish between polarized and unpolarized light.

[8+4+4]

*****

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Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(a) Explain Rayleigh’s criteria for resolution.

(b) Derive an expression for numerical aperture of an optical fibre in terms of fractional

index change.

(c) Distinguish between Hard and Soft superconductors.

(d) State and explain Maxwell’s equations.

(e) A copper wire of radius 1mm and length 10m carries a direct current of 5A. Calculate the

drift velocity of electrons in copper if n = 5 × 1028

/m3.

(f) Describe Drift and Diffusion currents.

[4+4+4+4+4+2]

PART-B

2.(a) Analyze qualitatively the spectrum obtained on exposing a diffraction grating to

monochromatic light.

(b) A plane grating having 10520 lines/cm is illuminated with light of wavelength 5 x 10-5

cm at normal incidence. How many orders are visible in the grating spectra?

(c) Explain hysteresis of a ferromagnetic material with the help of B-H curve.

[8+4+4]

3.(a) Define acceptance angle of an optical fibre and derive an expression for it in terms of

refractive indices of the core and cladding.

(b) An optical fibre has a core of refractive index 1.51 and cladding of refractive index 1.49.

Calculate (i) numerical aperture (ii) acceptance angle.

(c) Write a short note on photovoltaic cell.

[8+4+4]

4.(a) Explain superconductivity. Briefly outline BCS theory of superconductivity.

(b) For a specimen of Ga, the critical fields are 1.4 × 105 and 4.2 × 10

5A/m at 14K and 13K

respectively. Calculate the transition temperature and critical fields at 0K and 4.2K.

(c) Explain the concept of effective mass of an electron.

[8+4+4]

5.(a) State the acoustic requirements of good hall. Explain how these requirements can be

achieved.

(b) A hall with a volume of 1000m3 has a sound absorbing surface of area 400m

2. If the

average absorption coefficient of the hall is 0.2 sabines, what is the reverberation time

(c) What are Miller indices? Explain.

[8+4+4]

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Set No - 2

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6.(a) Obtain the eigen values and normalized wave functions for a particle in a one

dimensional infinite potential box.

(b) The resistivity of aluminium at room temperature is 2.62 x 10-8

ohm-m. Calculate the

(i) drift velocity (ii) mobility on the basis of classical free electron theory.

(c) Derive expressions for growth and decay of sound energy inside a hall.

[8+4+4]

7.(a) Derive an expression for Fermi level in a p-type semiconductor and hence obtain an

expression for concentration of holes in the p-type semiconductor.

(b) Calculate the wavelength of light emitted by an LED with band gap of energy 1.8eV.

(c) Explain the phenomenon of double refraction.

[8+4+4]

*****

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Set No - 2

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*****

PART-A

1.(a) Derive the expressions for thickness of quarter wave plate and half wave plate.

(b) Differentiate between spontaneous and stimulated emission of radiation.

(c) Calculate the polarization produced in a dielectric medium of relative permittivity 15 in

the presence of an electric field of 500V/m.

(d) Define the term coefficient of absorption and write short notes on it.

(e) Write a note on Fermi-Dirac statistical distribution law.

(f) Explain with a neat sketch the principle of photoconductivity.

[4+4+4+4+4+2]

PART-B

2.(a) Analyze qualitatively Fraunohofer diffraction at double slit with suitable diagrams.

(b) A grating has 6000 lines/cm. Find the angular separation between two wavelengths of

500nm and 510nm in the 3rd

order.

(c) Classify magnetic materials on the basis of their susceptibility.

[8+4+4]

3.(a) Describe the construction and working of He-Ne laser with relevant energy level

diagram. List out its advantages over a ruby laser.

(b) Copper has FCC structure and its atomic radius is 0.1278nm. Calculate interplanar

spacing for (111) and (321) planes.

(c) Distinguish between direct and indirect band gap semiconductors.

[8+4+4]

4.(a) Discuss DC and AC Josephoson’s effects and explain their importance.

(b) The critical temperature Tc for mercury with isotopic mass 199.5amu is 4.185K.

Calculate its critical temperature when its isotopic mass changes to 203.4amu.

(c) Explain the terms relaxation time, collision time and mean free path as applied to electric

conduction.

[8+4+4]

5.(a) Derive Sabine’s formula for Reverberation time.

(b) A hall has dimensions 20x15x5m3. The reverberation time is 3.5sec. Calculate the total

absorption of its surfaced and the average absorption coefficient.

(c) Explain the phenomenon of spontaneous and stimulated emissions.

[8+4+4]

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Set No - 3

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6.(a) What is density of energy states in metals? Derive an expression for density of energy

states and hence obtain Fermi energy of a metal.

(b) The density and atomic weight of Cu are 8900kg/m3 and 63.54 respectively. The

relaxation time of electrons in Cu at 300K is 10-14

s. Calculate the electrical conductivity

of copper.

(c) Express Maxwell’s equations in integral form.

[8+4+4]

7.(a) Derive an expression for carrier concentration in an intrinsic semiconductor.

(b) Calculate the mobility of electron in Cu, considering that each atom contributes one

electron for conduction. Resistivity of Cu is 1.721 X 10-8

Ω-m, Atomic weight is 63.54,

density of Cu is 8.9 x103 kg/m

3 and Avagadro number is 6.025 x10

26/ kg-mole.

(c) Discuss interference phenomenon in thin films.

[8+4+4]

*****

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Set No - 3

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*****

PART-A

1.(a) List out the differences between interference and diffraction.

(b) Describe the FCC crystal structure.

(c) Deduce the Clausius-Mosotti relation.

(d) A cinema hall has a volume of 7500m3. What should be the total absorption in the hall if

a reverberation time of 1.5 seconds is to be maintained?

(e) Explain the concept of effective mass of an electron.

(f) Mobilities of electrons and holes in a sample of intrinsic germanium at 300K are

0.36 m2V

-1s

-1 and 0.17m

2V

-1s

-1 respectively. If the resistivity of the specimen is 2.12Ω-m,

compute the forbidden energy gap.

[4+4+4+4+4+2]

PART-B

2.(a) What is Rayleigh’s criterion of limit of resolution? Obtain an expression for the resolving

power of a plane diffraction grating.

(b) Find the number lines a grating should have in order to resolve the second order doublet

having a wavelength difference 6x10-10

m at 5893x10-10

m.

(c) Distinguish between type I and type II superconductors with suitable diagrams.

[8+4+4]

3.(a) Define the terms coordination number, atomic radius and packing density. Calculate

these factors for simple cubic, body centered cubic and face centered cubic crystals.

(b) If the lattice constant of a cubic crystal is 3nm, find the interplanar spacing between (111)

planes.

(c) Describe in detail the Einstein’s relation between diffusivity and mobility.

[8+4+4]

4.(a) Explain electronic polarization and show that electronic polarizability is directly

proportional to the volume of the atom.

(b) A solid elemental dielectric with density 3 x 1028

atoms/m3 shows an electronic

polarizability of 10-40

Fm2. Calculate the εr of the material.

(c) What is Fermi energy function? Explain with the help of a diagram how it varies with

change of temperature.

[8+4+4]

5.(a) By using Gauss Divergence and Stokes theorems convert Maxwell’s equations from

differential form to integral form.

(b) The average reverberation time of a hall is 1.5sec. and the area of the interior is 3340m2,

find the absorption coefficient.

(c) Explain lasing action in a three level system. [8+4+4]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


6.(a) Discuss the formation of energy bands in solids and explain how solids are classified on

the basis of energy band gap.

(b) Calculate the temperature at which the probability of occupancy of a state with energy

2eV is 1% (Given: Fermi energy = 1.5eV).

(c) Explain the terms ‘Reverberation’ and ‘Reverberation time’.

[8+4+4]

7.(a) Explain principle, working and construction of a solar cell with a neat diagram.

(b) Calculate the intrinsic carrier concentration in the undoped specimen which when doped

contains 6.25 x 1024

electrons and 1.6 x 1015

holes.

(c) Why Newton’s rings are circular? Explain.

[8+4+4]

*****

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Set No - 4

||''''|||''|'''||''|


ENGLISH-I (Common to All Branches)




*****

PART-A

1.(a) What is the opinion of eminent men of science which Russell mentions?

(b) What does Haldane say about diabetes?

(c) Write about Kalam’s view about knowledge in India.

(d) What did Gopinath learn from the attitude of the headmaster?

(e) What circumstances made Vijay Bhatkar invent a supercomputer for India?

(f) Why did Gandhi take a decision not to imitate others?

(g) Explain the views of L. A. Hill about clear style of writing.

[3+3+3+3+3+3+4]

PART-B

2.(a) Why does Russell stress the need of peace in the world which is full of conflicts?

(b) Write about Naidu’s passion for motor cycles and his efforts to buy a motorcycle.

[8+8]

3.(a) What does James Jeans say about millions of stars in the space?

(b) What are Sudha Murthy’s contributions to Indian society?

[8+8]

4.(a) Explain Gandhi’s efforts to learn academic subjects in London.

(b) Write about the character of the clergyman.

[8+8]

5.(a) How according to L.A.Hill does vocabulary help one to become a good writer?

(b) Write the synonyms for the following words:

(i) reverence (ii) diversity (iii) serene (iv) ovation

(c) Choose the appropriate antonyms given in bold:

(i) veil (ii) mortal (iii) zenith (iv) eliminate

[8+4+4]

6.(a) Correct and rewrite the following sentences:

(i) Tell me what are you doing.

(ii) He was sleeping while his mother is singing.

(iii) They enjoyed the tour very much.

(iv) They reached the station after the train left.

(b) Fill in the blanks with appropriate pronouns:

(i) Mary hurt ------------ while -------- is cutting vegetables. ------ middle finger was cut

and --------- was wrapped in a bandage.

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


6.(c) Use appropriate prepositions to fill in the blanks:

(i) I bought it -------- a rupee and sold it----------- six rupees.

(ii) They moved --------Hilton --------------- Taj.

(d) Fill in the blanks with adverb and adjective forms of the words given in parenthesis:

(i) He has a ----------- memory and responded very --------. (sharp)

(ii) The ---------------- fox cheated the seals--------- (cunning).

[4+4+4+4]

7.(a) Give the meanings of the following phrases using your own sentences:

(i) break in

(ii) look after

(iii) in black and white

(iv) to bury the hatchet

(b) Fill in the blanks with articles if necessary:

(i) Cow is ---------- useful animal.

(ii) Don’t worry! She knows --------- way.

(iii) It is ------------ honest appeal.

(iv) I met him at---------- church.

(c) Match the words in Column A with their meanings in Column

Column A Column B

likewise bestow

recluse intense

vehement hermit

endow similar

interest

(d) Write the summary of the following passage in about 50 words:

The effect produced on the mind by travelling depends entirely on the mind of a

traveller and on the way in which he conducts himself. The chief ideas of one very

common type of traveller is to see as many objects as possibly can. If he can only after

his return home say that he has seen such and such a temple, castle, picture gallery, or

museum he is perfectly satisfied. Therefore when he arrives at a famous city he rushes

through it, so that he may get over as quickly as possible the task of seeing the principal

sights, enter them by name in his note- book as visited or, in his phraseology ‘done’ and

then hurry on to another city which he treats in the same unceremonious way.

Another kind of traveller in all he sees finds entertainment for the foolish, spirit of

ridicule. The more hallowed any object is from history and religious associations or

artistic beauty the more he delights to degrade it by applying familiar terms of vulgar

slang that he mistakes for words. Such a one brings disgrace to nation by the rude

insolence with which he laughs at foreigners and their ways, and everything else that

attracts his notice of his feeble understanding.

At the end of his wandering he returns to his home a living example showing

How much the fool that hath been taught to roam

Excels the fool that hath been kept at home.

[4+4+4+4]

*****

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Set No - 1

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*****

PART-A

1.(a) What according to Abdul Kalam are the changes that happened during the last century?

(b) How does L.A. Hill want us to begin a presentation?

(c) What are the temperature changes that take place in the universe?

(d) Write about Naidu’s efforts to track the man with the motorcycle.

(e) How did Sudha Murthy help the beginning of Infosys?

(f) Why did Gandhi decide to learn Latin and what were his efforts to learn it?

(g) What does J.B.S.Haldane say about general belief in modern medicine?

[3+3+3+3+3+3+4]

PART-B

2.(a) Why did Barnum say that it is good to write in simple and conversational style?

(b) Explain how Gopinath’s head master helped him in the entrance examination?

[8+8]

3.(a) When did Gandhi realize that he need not change his life style to imitate others?

(b) What are the two accidents described by James Jeans?

[8+8]

4.(a) Why does Abdul Kalam say that wealth generation for a country has to be woven around

national competencies?

(b) Write an account on Dr.Vijay Bhatkar’s contributions in bringing ICT to masses.

[8+8]

5.(a) Elaborate the consequences of atomic warfare as described by Russell.

(b) Write a paragraph on ‘values of education’.

(c) Write an email to the Seasons Transport Company, Chennai to send the details of the

transportation charges. You are a sales manager of Arman Textiles, Mumbai.

[8+4+4]

6.(a) Write the synonyms for the following words:

(i) recollect (ii) prominence (iii) rebel (iv) prejudice

(b) Write the antonyms of the following words:

(i) agree (ii) tidy (iii) humble (iv) zenith

(c) Correct and rewrite the following sentences:

(i) I often go to college by foot.

(ii) One of my friends are a great admirer of Kalam.

(iii) He is having a car.

(iv) Each day and each hour are precious.

Page 1 of 2

Set No - 2

||''''|||''|'''||''|


6.(d) Use appropriate prepositions to fill in the blanks:

(i) He opened ----- account with the bank today.

(ii) He fought ----------- his brother ------------ a small issue.

(iii) He is incapable ---------- doing good work.

[4+4+4+4]

7.(a) Fill in the blanks with articles:

(i) I want --------- knife and ----------- axe to cut the wood.

(ii) It is ---------------- historical monument.

(iii) She wrote ------ useful article which was published last week .

(iv) ----------- Ganges is a holy river.

(b) Fill in the blanks with suitable pronouns.

(i) The king celebrated ----------- victory over his enemies, praised the soldiers and

rewarded-------.

(ii) She asked--------- husband to buy a ring for --------- marriage anniversary.

(c) Match the words in Column A with their meanings in Column B

Column A Column B

erudite deny

flying colours intention

motive scholary

contradict successful

stoic


Chanting ‘Syanora nuclear power’ and waving banners, tens of thousands of

people marched in central Tokyo on Japan’s government to abandon atomic energy in the

wake of the Fakushima nuclear accident.

The demonstration underscores how deeply the Japanese public has been affected

by the march 11 crisis, when a tsunami caused core meltdowns at three reactors at the

Fukushima Dai- ichi complex .

The disaster, the worst nuclear accident since Chernobyl, saw radiation spewed

across a wide part of northeastern Japan, forcing the evacuation of some 100,000 people

who lived near the plant and raising fears of contamination in everything from fruit and

vegetables to fish and water.

Police estimated the crowd as 20,000 people, while organizers said there were

three times that many people.

[4+4+4+4]

*****

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Set No - 2

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*****

PART-A

1.(a) Why is it becoming hard to apply the advances of medical science in practice?

(b) Why did the clergyman join Scoresby in the war?

(c) What does L. A. Hill suggest regarding the topic of an article writing?

(d) Explain John Slessor’s view about air warfare.

(e) What is Naidu’s familiarity with the field of agriculture?

(f) Write about Bhatkar’s contributions to the field of computers?

(g) Why did Gandhi decide to keep a strict watch over his spending on false propriety?

[3+3+3+3+3+3+4]

PART-B

2.(a) What according to Abdul Kalam is the important mission for India?

(b) How would Sudha Murthy like to help youngsters?

[8+8]

3.(a) Why does J.B.S.Haldane feel that recovery from any illness depends on the attitude of the

people?

(b) Describe what the author wants the neutrals do in the context of war.

[8+8]

4.(a) What should be done to develop knowledge and generate wealth in India? Explain

Kalam’s Ideas.

(b) Give an account of the character of Gopinath.

[8+8]

5.(a) What are the theories explained by James Jeans about the making of the universe?

(b) Write a speech on ‘Purpose of Education’.

(c) Write a letter to your father informing him about your college tour. Give him the date of

your journey and other details.

[6+6+4]

6.(a) Write the synonyms for the following words and use them in sentences:

(i) consent (ii) obliterate (iii) emulate (iv) deduct

(b) Give the antonyms of the following:

(i) essential (ii) sincere (iii) rude (iv) zenith

(c) Correct and rewrite the following sentences.

(i) A cooler breeze is coming from the sea this year.

(ii) I will return back this paper tomorrow.

(iii) He enjoys to tell stories to children.

(iv) I play the cricket at college.

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


6.(d) Use appropriate prepositions to fill in the blanks:

(i) The dog ran ----------- the park.

(ii) I bought this book --------- ten rupees.

(iii) Don’t lean ------------ the wall.

(iv) The ring is made ---------- gold.

[4+4+4+4]

7.(a) Fill in the blanks with suitable verb forms:

(i) I------------ five miles a day. (walk)

(ii) My friend ---------- for Bombay last week. (leave)

(iii) The thief ------------ (come) out of the police station when the police ---------

him. (catch)

(b) Fill in the blanks with adverb and adjective forms of the words given in parenthesis.

(i) She is repenting for her -------------- acts. She behaved-----------. (fool)

(ii) Rama is a ----------- girl. She acts---------- (fun).


Column A Column B

tremor flood

gentle wind tempest

inundation earthquake

storm blaze

breeze


The effect produced on the mind by travelling depends entirely on the mind of a

traveller and on the way in which he conducts himself. The chief ideas of one very

common type of traveller is to see as many objects as possibly can. If he can only after

his return home say that he has seen such and such a temple castle, picture gallery ,or

museum he is perfectly satisfied. Therefore when he arrives at a famous city he rushes

through it, so that he may get over as quickly as possible the task of seeing the principal

sights, enter them by name in his note- book as visited or, in his phraseology ‘done’ and

then hurry on to another city which he treats in the same unceremonious way.

Another kind of traveller in all he sees finds entertainment for the foolish, spirit of

ridicule. The more hallowed any object is from history and religious associations or

artistic beauty the more he delights to degrade it by applying familiar terms of vulgar

slang that he mistakes for words. Such a one brings disgrace to nation by the rude

insolence with which he laughs at foreigners and their ways, and everything else that

attracts his notice of his feeble understanding.

At the end of his wandering he returns to his home a living example showing

‘How much the fool that hath been taught to roam

Excels the fool that hath been kept at home’

[4+4+4+4]

*****

Page 2 of 2

Set No - 3

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*****

PART-A

1.(a) Describe the character of the clergyman.

(b) What kind of experience did Gandhi have while learning elocution and dance?

(c) How is that a scientist is a curious mixture of pride and humility?

(d) What was the defining moment of Naidu’s life?

(e) How did Bhatkar develop supercomputers in India after the denial from the US?

(f) What does Haldane say about the nature of water borne diseases?

(g) Explain Abdul Kalam’s views about wealth generation.

[3+3++3+3+3+3+4]

PART-B

2.(a) What are the two accidents that were described by James Jeans? Explain in your own

words.

(b) Write about the attitude of Sudha Murthy towards life.

[8+8]

3.(a) Analyze Scoresby ‘s behaviour. How did luck favour him?

(b) What are L.A.Hill’s suggestions about good writing in ‘ Principles of Good Writing’

[8+8]

4.(a) Give an account of the efforts made by Gandhi to save money as a student in London.

(b) What according to Russell are the consequences of war?

[8+8]

5.(a) Why does Abdul Kalam consider knowledge as an essential component for the

development of a country?

(b) Write an email to your bank informing them to give the details of housing loans. You are

an account holder of the bank.

(c) Give the meanings of the following idioms and phrases and use them in sentences of your

own.

(i) at arm’s length

(ii) in black and white

(iii) turn down

(iv) call for

[6+6+4]


(i) confirm (ii) elegant (iii) retrieve (iv) detach


(i) All ---------- enemies were defeated in the war and some of them ran for-------------

lives.

(ii) ----------- mother gave -------------- a gift on his birthday.

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


6.(c) Use appropriate prepositions to fill in the blanks:

(i) The thief ran away----------- the box.

(ii) He is a man --------- noble character.

(iii) I prefer coffee ---------- tea.

(iv) The beggar was standing ------------ the temple.

(d) Correct and rewrite the following sentences.

(i) He is a honest person

(ii) He had gone to temple yesterday.

(iii) Each of the boys get the marks list.

(iv) I and Suneeta are going to the party.

[4+4+4+4]

7.(a) Write the noun forms of the following words:

(i) act (ii) mutilate (iii) content (iv) react

(b) Fill in the blanks with articles, if necessary:

(i) It is -------------unwanted happening.

(ii) He bought -------- one piece glass tray.

(iii) Mt .Everest is ------------ highest peak in the world.

(iv) Dog is -------------- faithful animal.


Column A Column B

erudite deny

flying colours intention

motive scholary

contradict successful

stoic


Chanting ‘Syanora nuclear power’ and waving banners, tens of thousands of

people marched in central Tokyo on Japan’s government to abandon atomic energy in the

wake of the Fakushima nuclear accident.

The demonstration underscores how deeply the Japanese public has been affected

by the march 11 crisis, when a tsunami caused core meltdowns at three reactors at the

Fukushima Dai- ichi complex .

The disaster, the worst nuclear accident since Chernobyl, saw radiation spewed

across a wide part of northeastern Japan, forcing the evacuation of some 100,000 people

who lived near the plant and raising fears of contamination in everything from fruit and

vegetables to fish and water.

Police estimated the crowd as 20,000 people, while organizers said there were

three times that many people.

[4+4+4+4]

*****

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


ENVIRONMENTAL STUDIES (Common to CE, ME, CSE, PCE, IT, Chem E, Aero E, AME, Min E, PE, Metal E)




*****

PART-A

1.(a) Write about ecological succession.

(b) What is desertification?

(c) Write about endangered species.

(d) Write about Nuclear hazards.

(e) What is forest conservation act?

(f) Write about ecotourism.

[4+4+4+4+3+3]

PART-B

2.(a) Define ecosystem Write about energy flow in an ecosystem.

(b) What is the role of information technology in environment and human health.

[8+8]

3. Write about use exploitation and environmental effects of extracting mineral resources.

[16]

4.(a) What is ex-situ conservation of biodiversity? Explain.

(b) Write about biodiversity at national and local levels.

[8+8]

5. Write about causes, effects and control measures of air pollution.

[16]

6.(a) Discuss about water conservation and rain water harvesting.

(b) Distinguish between resettlement and rehabilitation.

[8+8]

7. Prepare a field report for the visit made by you to a polluted water body. [16]

*****

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Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(a) Write about global warming.

(b) What is waste land reclamation?

(c) Write about endemic species.

(d) Write about role of an individual in prevention of pollution.

(e) What is environment legislation?

(f) Write about E.M.P

[4+4+4+4+3+3]

PART-B

2.(a) Define environment. Write about its scope and importance.

(b) What is sustainability? What is its importance?

[8+8]

3.(a) Write about use and over utilization of surface and ground water .

(b) What are the benefits and problems of dams?

[8+8]

4.(a) What is in-situ conservation of biodiversity? Explain.

(b) India a mega diversity nation. Explain

[8+8]

5. Write about causes, effects and control measures of soil pollution.

[16]

6.(a) Discuss about water act.

(b) Write about resettlement and rehabilitation.

[8+8]

7. Prepare a field report for the visit made by you to a polluted city. [16]

*****

Page 1 of 1

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(a) Write about acid rain and ozone depletion.

(b) What is water logging and salinity?

(c) Write about man and wild life conflicts.

(d) Write about water pollution.

(e) What are urban problems related to energy?

(f) Write about E..I.S

[4+4+4+4+4+2]

PART-B

2.(a) Write about structure and function of ecosystem

(b) What are the global environmental challenges?

[8+8]

3.(a) Write about the effects of Timber extraction of Forest Resources.

(b) Write about floods and droughts?

[8+8]

4.(a) What are various threats of biodiversity? Explain.

(b) Write about endangered and endemic species of India.

[8+8]

5. Write about causes, effects and control measures of noise pollution.

[16]

6.(a) Discuss about wild life protection act.

(b) Write about effects and control measures of urban and industrial solid wastes?

[8+8]

7. Prepare a field report for the visit made by you to a industrial city. Discuss various

pollutions observed. [16]

*****

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Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(a) Write about Rio summit.

(b) What is deforestation?

(c) Write about ecosystem diversity.

(d) Write about different environmental pollutions..

(e) What is water pollution and conservation act?

(f) Write about various stages of EIA.

[4+4+4+4+3+3]

PART-B

2.(a) Define ecosystem Write about producers, consumers and decomposers.

(b) What are ecological pyramids? Explain.

[8+8]

3. Write about food resources. Discuss the effects of modern agriculture on Food

Production.

[16]

4.(a) What are genetic, species and ecosystem diversity.? Explain.

(b) Write about conservation of biodiversity.

[8+8]

5. Write about causes, effects and control measures of water pollution.

[16]

6.(a) Discuss about environmental ethics..

(b) Discuss about problems of resettlement and rehabilitation in construction of irrigation

projects.

[8+8]

7. Prepare a field report for the visit made by you to a polluted lake. [16]

*****

Page 1 of 1

Set No - 4

||''''|||''|'''||''|


MATHEMATICS-I (Common to All Branches)




*****

PART-A

1.(a) Find Laplace transform of Dirac Delta function?

(b) At the start of an experiment, there are 100 bacteria. If the bacteria follow an exponential

growth pattern with rate k = 0.02, what will be the population after 5 hours? How long

will it take for the population to double?

(c) Discuss about Jacobian?

(d) Explain about Laplace equation?

(e) Find

cos

(f) Define extreme value?

[4+4+4+3+4+3]

PART-B

2.(a) Find the maximum and minimum values of x + y + z subject to 1z

1

y

1

x

1=++

(b) Solve 4

3 sin 2

[8+8]

3.(a) Solve 0dx

dyexy1 y2

1

=−++−

)()(tan

(b) Using Laplace transforms, solve 2

5 3 sin 3.

[8+8]

4. Solve the following heat problem for the given initial conditions.

2

2

x

uk

t

u

∂

∂=

∂

∂

)(),( xf0xu = 0t0u =),( 0tLu =),(

(a)

π=

L

x6xf sin)(

(b)

π−

π=

L

x47

L

x912xf sinsin)(

[8+8]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


5.(a) Find the Laplace transforms of the given functions

(i) 2

1 cos at

t

−

(ii) )sin()sinh( t23t23 +

(b) A bottle of soda pop at room temperature (920F) is placed in a refrigerator where the

temperature is 640F. After half an hour the soda pop has cooled to 81

0F.

(i) What is the temperature of the soda pop after another half hour?

(ii) How long does it take for the soda pop to cool to 700F?

[8+8]

6.(a) Form the differential equation form .

(b) Solve . [8+8]

7. A tightly stretched string with fixed end points 0 and " is initially at rest in its

equilibrium position. If it is vibrating by giving to each of its points a velocity#" ,

find the displacement of the string at any distance x from one end at any time t.

[16]

*****

Page 2 of 2

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(a) State convolution theorem?

(b) Find the Laplace transform of Heaviside’s function?

(c) Discuss about Bernoulli’s equation?

(d) Find

(e) Explain about one dimensional heat equation?

(f) Explain chain rule of partial differentiation?

[3+4+3+3+5+4]

PART-B

2.(a) Solve the following IVP and find the interval of validity for the solution.

,)( 0dx

dy1xy2x9xy2 22 =+++− 30y −=)(

(b) Determine the orthogonal trajectories of the family of circles x 2 + (y − c)

2 = c

2 tangent

to the x- axis at the origin.

[8+8]

3.(a) Suppose that the population of a colony of bacteria increases exponentially. At the start

of an experiment, there are 6,000 bacteria, and one hour later, the population has

increased to 6,400. How long will it take for the population to reach 10,000? Round your

answer to the nearest hour.

(b) Find and classify all the critical points of xy3yx4yxf33 −++=),(

[8+8]

4.(a) Find the Laplace transforms of the given functions.

(i) 9t5ee6tf3t3t5 −++= −

)( (ii) )cos()cos()( t6et6etgt3t3 −+=

(b) Find the Laplace transform of f(t) = |t − 1| + |t + 1|, t ≥ 0

[8+8]

5.(a) Solve$% cos cos & ?

(b) Using Laplace transforms, solve2

22 5 sintd y dy

y e tdt dt

−+ + = .

[8+8]

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Set No - 2

||''''|||''|'''||''|


6.(a) Solve 2% 3 0. (b) Solve () tan tan

[8+8]

7. A tightly stretched string with fixed end points x = 0 and x = p is initially in a position

given by .sinp

xyy 3

0

π= If it is released from rest from this position, find the

displacement y(x, t).

[16]

*****

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Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(a) Define saddle point?

(b) Explain about law of natural decay?

(c) Find

,-,.

(d) Give the statement of Convolution theorem?

(e) Explain about wave equation?

(f) Define functional dependence?

[3+4+3+4+5+3]

PART-B

2.(a) Show that the functions / , 1 ()2 3 are

functionally dependent.

(b) Form the partial differential equation by eliminating the arbitrary function φ from:

φ 0xy2zzyx2222 =−++ ),(

[8+8]

3.(a) Solve 1

(b) Solve the differential equation 4 tan 2

[8+8]

4.(a) Find the inverse transform of each of the following.

(i) 21s8s

s31sF

2 ++

−=)( (ii)

10s3s

7ssG

2 −−

+=)(

(b) A bottle of soda pop at room temperature (720F) is placed in a refrigerator where the

temperature is 440F. After half an hour the soda pop has cooled to 61

0F.

(i) What is the temperature of the soda pop after another half hour?

(ii) How long does it take for the soda pop to cool to 500F?

[8+8]

5.(a) Using Laplace transforms, solve 2

5 sin 2

(b) Find the orthogonal trajectories of the confocal and coaxial parabolas

5 2(1 6789

[8+8]

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Set No - 3

||''''|||''|'''||''|


6. A homogeneous rod of conducting material of length 100 cm has its ends kept at zero

temperature and the temperature initially is

/, 0 : ; 0 < < 50100 ; 50 < < 100=

Find the temperature u(x, t) at any time. [16]

7.(a) Obtain the Taylor’s series expansion of sin x in powers of

4x

π−

(b) Solve 2

2

y

xxxy

dx

dy cossintan =−

[8+8]

*****

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Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(a) Form the differential equation from (> ?>

(b) Explain about Newton’s law of cooling?

(c) Find the inverse Laplace transform of @8 .AB-A,C

(d) Obtain Maclaurin’s series for

(e) Solve

(f) Find the particular integral of

,.,D 2B>

[3+3+4+4+4+4]

PART-B

2.(a) Solve 2. (b) Solve 1

1E,

[8+8]

3.(a) Use a convolution integral to find the inverse transform of the following transform.

222 as

1sH

)()(

+=

(b) Write the following function (or switch) in terms of Heaviside functions and its Laplace

transform.

[8+8]

4.(a) Solve the following differential equation.$ 4 sec 2.

(b) Investigate for the maxima and minima, if any of >1 . [8+8]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


5. A homogenous rod of conducting material of length 100 cm has its ends kept at zero

temperature and the temperature initially is

/, 0 : ; 0 < < 5 100 ; 50 < < 100=

Find the temperature u(x, t) at any time.

[16]

6.(a) An object cools from 1200 to 95

0 F in half an hour when surrounded by air whose

temperature is 700F. Find its temperature at the end of another half an hour.

(b) Form the differential equation from 2 3 G2 3. [8+8]

7.(a) Solve > > 8

(b) Expand the function , log 1 in terms of x and y up to the terms of 3rd

degree using Taylor’s thereom?

[8+8]

*****

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


MATHEMATICS-II (MATHEMATICAL METHODS) (Common to ECE, EEE, EIE, Bio-Tech, ECom.E, Agri.E)




*****

PART-A

1.(a) What is the difference between Bisetion method and Regula-Falsi method.

(b) Prove the result, 2

2 2 21 (1 )2

δµ δ+ = +

(c) Find the Picard’s first approximation of 21 , (0) 0dy

y ydx

= + =

(d) If ( )2

xf x = express and f(x) as a Fourier series in the interval (-π, )

(e) Find the inverse Finte cosine transform f(x) if 2

2cos( )

3( )(2 1)

c

n

F nn

π

=+

, where 0<x<4

(f) Show that [ ] 2

sinhsinh

2 cosh 1

zZ n

z z

θθ

θ=

− +

[3+4+4+4+3+4]

PART-B

2.(a) Find a root correct to 3decimal places for the equation 3 4 9 0x x− + = using bisection

method.

(b) Find a real root of the equation cos 0xxe x− = using Netwon Raphson method.

[8+8]

3.(a) Certain values of x and 10logx are (300,2.4771),(304,2.4829),(305,2.4843),(307,2.4871).

Find 301

10log

(b) Using Lagrange’s formula find y(5), given that

x 0 1 3 8

y 1 3 13 128

[8+8]

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Set No - 1

||''''|||''|'''||''|


4.(a) Use Runge-Kutta fourth order method to find the value of y when x=1 given that y=1

When x=0 , dy y x

dx y x

−=

+;

(b) Use Taylor’s series method to approximate y when x=0.1, x=0.2 for 2dyx y

dx= + where

y(0) =0

[8+8]

5.(a) Obtain the Fourier series expansion of f(x) given that 2( ) ( )f x xπ= − in 0 2x π< < and

Deduce the value of 2

2 2 2

1 1 1

1 2 3 6

π+ + + − − − − − − −− = .

(b) Find the Fourier cosine transform of f(x) defined by 2

1( )

1f x

x=

+ hence find Fourier

sine transform of 2

( )1

xf x

x=

+ [8+8]

6.(a) Using Fourier integral ,show that2 2

0

2 cosax a xe d

a

λλ

π λ

∞

− =+∫ , (a>0,x≥0)

(b) Obtain a half –range cosine series for ; 0 / 2

( )( 1); / 2

kx for x lf x

k x forl x l

≤ ≤=

− ≤ ≤

And deduce the sum of the series 2

2 2 2

1 1 1..................

1 3 5 8

π+ + + =

[8+8]

7.(a) Solve 2 16 9 2n

n n ny y y+ ++ + = with 0 1 0y y= = Using Z-transform.

(b) If 2

4

5 3 12( )

( 1)

z zF z

z

+ +=

−; then find the values of 2 3,y y

[8+8]

*****

Page 2 of 2

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(a) Find the reciprocal of 18 using Newten-Raphsen method.

(b) Prove that if f(x) is a polynomial of degree ‘n’ and the values of x are equally spaced then

( )n f x∆ is a constant.

(c) Solve By Euler’s method, the equation , (0) 0dy

x y ydx

= + = Choose h=0.2 compute

y(0.4).

(d) Define the Fourier series for even and odd functions.

(e) Find the Fourier transform f(x) defined by ,

( )0, ,

iqxe x

f xx x

α β

α β

< <=

< >

(f) Using Convolution theorem show that 1 1 1 2*

! ! !

n

Zn n n

− =

[4+3+4+3+4+4]

PART-B

2.(a) Find real root of the equation 3 1 0x x+ + = correct to 3decimal places by iteration

method.

(b) Find real root of the equation 10log 1.2x x = correct to 4decimal places by regula –Falsi

method.

[8+8]

3.(a) Using Lagrange’s formula, fit the polynomial to the data

x -1 0 2 3

y -8 3 1 12

and hence find y(1).

(b) Applying Netwon’s forward interpolation formula compute the value of 5.5 given that

5 2.236, 6 2.449, 7 2.646, 8 2.828= = = = correct upto three places of decimal.

[8+8]

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Set No - 2

||''''|||''|'''||''|


4.(a) Given 2dy

xydx

− = and y(1)=1 .Find the value of y(1.5) in steps of 0.25 using Euler’s

modified method.

(b) Given 1dy

xydx

= + , y=1at x=0 compute y(0.1) correct to 4 decimal places using Taylor

series method.

[8+8]

5.(a) Find a Fourier series to represent the function ( ) ,xf x e= for xπ π− < < and hence

derive a series for sinh

π

π

(b) Obtain the half-range sine and cosine series for the function )()( x8

xxf −π

π= in the

range .π≤≤ x0

[8+8]

6.(a) Show that the Fourier transform of,

( )0,

a x for x af x

for x a

− <=

> is

2

2 1 cosas

sπ

−

Hence deduce that

2

0

sin

2

t

t

π∞

= ∫

(b) Find the finite Fourier sine transform of f(x)= defined by

2

( ) 1x

f xπ

= −

where 0<x<π

[8+8]

7.(a) Find the inverse Z-transform of2

3 2

4 2

5 8 4

z z

z z z

−

− + −

(b) Find the Z-transform of the following functions

(i) 42 5sin 34

nn a

π− + (ii) cos

2

nπθ

+

[8+8]

*****

Page 2 of 2

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(a) What is the convergence of Newton –Raphson method.

(b) Find the second difference of the polynomial 4 3 212 42 30 9x x x x− + − + with interval of

difference h=2

(c) Using Runge-Kutta method of second order, compute y(2.5) fromdy x y

dx x

+= ,y(2)=2,

Taking h=0.25.

(d) What is condition for expansion a Fourier series?

(e) Prove that [ ]( ( )) ( ) ( )n

n n

n

dF x f x i F p

dp= −

(f) Find 1

( 1)( 2)Z

n n

+ +

[4+4+4+2+4+4]

PART-B

2.(a) Evaluate 1

1212

and by the fixed point iteration method.

(b) Find the real root for 2xxe = by using Regula –Falsi method.

[8+8]

3.(a) Using Lagrange’s interpolation formula ,express 23 1

( 1)( 2)( 3)

x x

x x x

+ +

− − − as sum of partial

fractions.

(b) Using Netwen’s forward interpolation formula, evaluate y(1.2).

x 1.1 1.3 1.5 1.7 1.9

y 0.21 0.69 1.25 1.89 2.61

[8+8]

4.(a) Use Runge-Kutta method to solve 2 210 , (0) 1dy

x y ydx

= + = for the interval 0 4x< ≤

with h=0.4

(b) Apply Taylor series method to find y(1.1),y(1.2) correct to 3 decimal places, given

1/3dyxy

dx= ,y(0)=1.

[8+8]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


5.(a) If ;0 / 2

( ); / 2

x xf x

x x

π

π π π

< <=

− < <

Show that 2 2 2

2 1 1 1( ) cos2 cos6 cos10

4 1 3 5f x x x x

π

π

= − + + + − − − − − − −

(b) Obtain a half range cosine series for

,02

( )

( ),2

LKx x

f xL

K L x x L

≤ ≤

= − ≤ ≤

Deduce the sum of

the series 2 2 2 2

1 1 1 1................

1 3 5 7+ + + +

[8+8]

6.(a) Show that the Fourier transform of

2

2

x

e−

is

2

22 .p

eπ−

by finding the Fourier transform

of 2 2

, ( 0)a xe a

− >

(b) Find the finte Fourier cosine transform of (2

) ( ) ,2 6

xi f x

π

π= − 0≤x≤π

( ) ( ) ,0 4ii f x x x= < < [8+8]

7.(a) Using Z-transform solve 2 12 ;n n n

y y y n+ ++ + = Given that 0 1 0y y= =

(b) Find ( ) sinn

i Z a nt (ii) coshn

Z a nt [8+8]

*****

Page 2 of 2

Set No - 3

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*****

PART-A

1.(a) What is the convergence of Newton - Raphson method.

(b) Evaluate n ax be

+∆

(c) Using Euler’s method, Solve for y at x=2 from23 1, (1) 2,

dyx y

dx= + = and h=0.5

(d) Find half range Fourier series for ( ) ,0 1f x ax b x= + < <

(e) State and prove that modulation property.

(f) Evaluate the inverse Z- transform of log(1 );a

z az

+ >

[3+4+4+3+4+4] PART-B

2.(a) Find the root of the equation sin 1 0x x − = lies in between x=1 and x=1.5 using

bisection method.

(b) Using Netwon Raphson method

(i) Find square root of a number (ii) Find Reciprocal of a number.

[8+8]

3.(a) Find the cubic polynomial which takes the following values

y(0) =1, y(1)=0, y(2)=1, y(3)=10

(b) (i) if yx is the value of at for which the fifth differences are constant and

1 7 2 6 3 5784, 686, 1088,y y y y y y find+ = − + = + = 4y

(ii) if 3( ) 5 7f x x x= + − , from a table of forward differences taking x = -1,0,1,2,3,4,5.

Show that the third differences are constant.

[8+8]

4.(a) Given 2 , (0) 1

dyx y y

dx= + = determine y(0.02), y(0.04) using Euler’s modified method.

(b) Given the differential equation 2

21

dy x

dx y=

+ with initial condition y=0 at x=0, use

Picard’s method’s to obtain y at x=0.25, x = 0.5, x =1.

[8+8]

Page 1 of 2

Set No - 4

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5.(a) Obtain Fourier series for the function f(x) given by

21 , 0

( )2

1 ,0

xx

f xx

x

ππ

ππ

+ − ≤ ≤

= − ≤ ≤

and deduce that2

2 2 2

1 1 1.............

1 3 5 8

π+ + + =

(b) Develop f(x) as Forier series in (-2,2), if

0, 2 1

( ) , 1 1

0,1 2

x

f x k x

x

− < < −

= − < < < <

[8+8]

6.(a) Find the Fourier sine transform of f( x), defined by 1( ) mf x x −=

(b) Find the inverse Fourier cosine transform f(x) of

≥

<−=

a2p0

a2p2

pa

a2

1

pFC

,

),()(

[8+8]

7.(a) Find the inverse Z-transform of

3

3

8

(4 )

z z

z

−

−

(b) Find (i) 2 nZ n a (ii) 2.5 3.

nZ n + and deduce 3

2.5 3( 3)n

Z n+ + +

[8+8]

*****

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


PROFESSIONAL ETHICS & HUMAN VALUES (Common to ECE, EEE, EIE, Bio-Tech, EComE, Agri.E)




*****

PART-A

1. (a) Is it possible for any engineering design to be totally risk free ?

(b) What is relevant information?

(c) Explain the meaning of moral leadership.

(d) Bring out the difference between consensus and controversy.

(e) What is the purpose of computer code of ethics?

(f) Write briefly about collegiality.

(g) ‘Service learning must be a part of academic curriculum’- Justify.

[3+3+3+3+3+3+4]

PART-B

2. (a) Explain two senses of loyalty.

(b) ‘Ethical egoism draws a distinction between the narrow and the wide forms of self

interest’- Discuss.

[8+8]

3. How does learning from the past help an “engineer” to correct the mistakes in the process of

designing? Give examples.

[16]

4. Explain the Intellectual Property Rights.

[16]

5. Compare the basic features of different ethical theories of Kohlberg and Gilligan.

[16]

6. (a) What is accountability? Elaborate.

(b) What are the skills required for an engineer to handle moral problems?

[8+8]

7. (a) What is meant by professional responsibility?

(b) Write about types of risks.

[8+8]

*****

Page 1 of 1

Set No - 1

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*****

PART-A

1. (a) Differentiate copyright and patent. .

(b) How is knowledge gained through scientific experiments?

(c) Explain about voluntarism.

(d) What are the limitations of code of ethics?

(e) How are the ethical theories useful to the society?

(f) Explain job related risks.

(g) What are the negative traits in an engineer to call him dishonest?

[3+3+3+3+3+3+4]

PART-B

2. What is the role of an engineer as an adviser?

[16]

3. (a) Discuss the importance of professional ethics.

(b) What are the features of Gilligan’s theory?

[8+8]

4. (a) What are the limitations of whistle blowing?

(b) What is collective bargaining? What are the advantages of collective bargaining?

[8+8]

5. (a) Explain the ethical values attached to engineers as consultants.

(b) “If engineering is a social experimentation, engineers are guardians of public interest”---

Discuss.

[8+8]

6. (a) Give the definition of human values. Elaborate and give examples.

(b) Write about the classification of human values.

[8+8]

7. Write about

(a) Risk benefit analysis.

(b) Concept of safety.

[8+8]

*****

Page 1 of 1

Set No - 2

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*****

PART-A

1. (a) What is threshold level of risk?

(b) Write about personal ethics.

(c) What role do codes play in profession’s public image?

(d) What is misguided loyalty?

(e) Explain the purpose of engineering ethics.

(f) Give an account of professional responsibilities.

(g) Describe the effects of globalization.

[3+3+3+3+3+3+4]

PART-B

2. (a) What are the philosophical qualities of nature?

(b) Discuss the importance of Eco-centric Ethics that protect the Environment.

[8+8]

3. Write briefly about

(a) Morals

(b) Respect for others

(c) Civic virtue

(d) Honesty.

[4+4+4+4]

4. What are occupational crimes? Explain.

[16]

5. (a) Explain types of risks.

(b) What is meant by ‘acceptability of risk’?

[8+8]

6. An engineer has to play different roles in his profession. Do ethics help him in being honest

and maintain values? Discuss.

[16]

7. Elaborate –

(a) Kohlberg’s theory

(b) Gilligan’s argument.

[8+8]

*****

Page 1 of 1

Set No - 3

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*****

PART-A

1. (a) What are the limitations of codes of ethics.

(b) Write about reverse discrimination.

(c) Give the concepts of Indian spirituality.

(d) Explain the role of engineers as eye witnesses.

(e) What are the uses of ethical theories.

(f) Explain job related risks.

(g) Define privileged information.

[3+3+3+3+3+3+4]

PART-B

2. (a) Bring out the difference between personal ethics and professional ethics.

(b) Define the terms

(i) courage

(ii) character

[8+8]

3. What is meant by whistle blowing? Explain how it can be avoided?

[16]

4. (a) Write about role of engineers in weapon development.

(b) Discuss the aspects of Indian Patent act.

[8+8]

5. ‘Safety, cost- effectiveness, are the key factors in making a product’. Analyse the statement

considering the environmental impact.

[16]

6. Write about-

(a) History of Ethics.

(b) Types of inquiry.

[8+8]

7. (a) What are the reasons for accidents caused due to engineering defects ?

(b) Suggest how disasters can be averted while making a product.

[8+8]

*****

Page 1 of 1

Set No - 4

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Subject Code: R13105/R13 I B. Tech I Semester Regular Examinations Feb./Mar. - 2014





*****

PART-A

1.(i) What is recursive function? What is drawback of using recursion?

(ii) Write program to show the usefulness of getch() and getche().

(iii) How are scope rules associated with variables?

(iv) What is pointer to constant and constant pointer? Are they both same or different.

(v) Define an array of structure for reading and printing a character, integer and float value.

(vi) Write a program to read a text file and count the number of characters in the text file.

[4+4+3+4+3+4]

PART- B

2.(a) What is structured programming? What are the advantages and disadvantages of

structured programming?

(b) Write a C program that illustrates the local static variables and functions.

[8+8]

3.(a) What is the purpose of the do while and while loops? Discuss about their usage.

Distinguish between them.

(b) What is an array of pointers and pointers to an array? Summarize the difference between

both of them.

[8+8]

4.(a) What is an enumerated data type? How is initialization of members to enum data type

done?

(b) Describe different file opening modes used with the fopen() function.

[8+8]

5.(a) Explain briefly the features of an algorithm, flowchart and discuss about Program

development steps?

(b) Explain nested. if else and else if ladder with syntax and give examples respectively?

[8+8]

6.(a) Describe categories of functions based on arguments and return type and what are

different parameter passing methods in functions ?

(b) Give the implementation of multidimensional arrays using pointers. Let the user specify

the number of rows and columns for the array for allocating memory dynamically.

[8+8]

7.(a) Write a C program that defines a structure student with members name, average, address

and displays the category of student according to the following criteria

average>=70------Distinction

60<=average<70-------First Class

50<=average<60-------Second Class

40<=average<50--------Third Class

average<40--------Fail

(b) What is a file and what are different type of files and explain?

[8+8]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) What is the difference between %f, %g and %e format specifiers when used to display a

real value defined as float x=12.34?

(ii) Initialize an array of integers. Write a program for printing numbers that are greater than

the average of the numbers present in the array.

(iii) Can main() function be called recursively? If so quote an example.

(iv) What is the difference between *p++ and p++?

(v) Define a structure to store the following information of a student-

Roll Number, Name, Grade.

Demonstrate the named initialization of the structure by writing a program which prints

the name and grade of a student given the roll number as input.

(vi) Write a program to compare two files and print out the lines where they differ.

[3+4+3+4+4+4]

PART- B

2.(a) Describe how the rule of type promotion is followed in a typical expression containing

mixed types.

(b) Illustrate the declaration, initialization of a pointer to a function and calling a function

using a function pointer.

[8+8]

3.(a) What is the usage of fget( ), fputs( ) and gets( ), puts( ) functions.

(b) How is structure passed to a function? Explain.

[8+8]

4. Explain the following terms

(a) User defined functions

(b) Predefined functions

(c) Header Files

(d) C pre-processor

[4+4+4+4]

5.(a) What is a self referential structure and explain with an example ?What is the advantage

of using a self referential structure ?

(b) Explain various operators in C Programming?

[8+8]

6. Write a C program that performs binary search on sorted array of elements and trace the

program with an example?

[16]

7.(a) What is a pointer,pointer to a pointer and explain the advantages of using pointers ?

(b) Explain fseek(), ftell(), rewind(), fclose() file functions.

[8+8]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) How can the following code be rewritten using conditional operator in C?

int m=1, n=2, min;

if (m<n) min=m;

else min=n;

(ii) Can arrays be passed to functions? Justify your answer.

(iii) A number divisible by any number in the range of 2 and 2

n then it is considered to be a

factor of the number. If the number is prime then the factor is a prime factor. Write a

program to print prime factors of a given number.

(iv) Define an integer pointer array of 10 numbers. Initialize them to any integer values from

the key board. Find the sum and average of these 10 integers.

(v) Write a program using enumerated types which when given today’s date will print out

tomorrow’s date in the form 31st January.

(vi) Write a program to read a line at a time from a file. Use fgets() function.

[4+3+4+4+4+3]

PART- B

2.(a) Draw the flowchart for calculating the area of a equilateral triangle. Area of equilateral

triangle is computed by formula A= √

, where ‘a’ is the length of the sides of the

triangle.

(b) Demonstrate the usage of sprintf() and puts() library functions with the help of a C

program. [8+8]

3.(a) Give the recursive and iterative functions to find the factorial of a number.

(b) How is dynamic memory allocation done in C? What library functions are provided by C

for dynamic memory allocation? [8+8]

4.(a) What is a enumerated data type? How is the initialization of members to enum data type

done?

(b) Explain about bit-fields in ‘C’ [8+8]

5.(a) A Fibonacci sequence is defined as follows:

1, 1, 2, 3, 5, 8, ….

Write a program for computing the Fibonacci number sequence using recursion

(b) Write a C program that performs all arithmetic operations based on user choice using

switch case? [8+8]

6.(a) What are iterative statements and explain the difference between while and do while

loops?

(b) Write a C program that swaps two numbers using pointers? [8+8]

7. Describe the following (a) putc() (b) getc() (c) putw() (d) getw() [4+4+4+4]

Page 1 of 1

Set No - 3

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*****

PART-A

1.(i) Write an algorithm for computing the sum of the series ...!4

x

!3

x

!2

xx1

432

+++++ upto N

terms.

(ii) Why do array subscripts start at 0 instead of 1?

(iii) Compare recursion with iteration.

(iv) What is wrong with the following code segment?

int *p;

*p=10;

(v) Write a program using structures and functions to compare two dates.

(vi) What happens if anyone doesn’t close a file?

[4+3+4+4+4+3]

PART- B

2.(a) What are the advantages and limitations of using flow charts?

(b) What is a multidimensional array? How is it initialized? How are the elements of

multidimensional arrays stored? Comment on the accessing of the elements.

[6+10]

3.(a) Describe the Towers of Hanoi problem. Write a function to solve the Towers of Hanoi

problem with 3 disks.

(b) Write a program that calculates sum of array elements where array elements can be

accessed using a pointer to an array?

[8+8]

4.(a) How is a structure variable different from an array with respect to its use as a function

parameter?

(b) Write a C program that calculates GCD of two numbers using a recursive function?

[8+8]

5.(a) Write an algorithm and C program to calculate roots of a quadratic equation and

explain how to compile and the run above program?

(b) Write a C program that calculates the product of two matrices and displays it?

[8+8]

6.(a) Explain character pointer and pointer to a function with examples?

(b) Write a C program that reads n numbers and writes even numbers into one file EVEN.txt

and odd number into another file ODD.txt?

[8+8]

7.(a) Write a C program that copies the content of one file into another file?

(b) Write a C program that defines a structure-student with members-name, average, address

where address is inner structure that contains dno, street, city as members, read the

student details and display the output -student name and his city as follows:

Student name city

X zzz

Y www [8+8]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|


ENGINEERING CHEMISTRY (Common to CE,ME,CSE,PCE,IT,Chem E,Aero E,AME,Min E,PE,Metal E)




*****

PART-A

1.(a) Discuss (i) p-type doped conducting polymers (ii) phosphate conditioning

(iii) antiknocking agents (b) Write a note on protection (against corrosion) of a metal by metallic coatings.

(c) A 0.1 M KCl solution, whose specific conductance is 0.01571 mho cm-1

, has a

conductance of 0.014 mho. When the same conductivity cell is used a 0.1 M chloroacetic

acid solution has a conductance of 7.84 x 10-3

mho. If the ionic conductance of

ClCH2COO- and H

+ are 59.8 and 449.8 mhocm

2equiv.

-1, find the degree of dissociation

of chloroacetic acid.

[12+4+6]

PART-B

2.(a) Describe cold and hot lime soda processes with a neat diagram.

(b) A sample of water on analysis has been found to contain the following in ppm:

Ca (HCO3)2 = 4.86; Mg (HCO3)2 = 5.84, CaSO4 = 6.8, MgSO4 = 8.4. Calculate the

temporary and permanent hardness of water.

(c) Discuss (i) stereospecific polymers (ii) mechanical properties of polymers

[6+4+6]

3.(a) What is ion-selective electrode? Explain its working.

(b) Discuss potentiometric titrations. (c) Write notes on (i) Refining of petrol (ii) reforming

[6+4+6]

4.(a) Explain the factors effecting the rate of corrosion.

(b) Write notes on Electroplating

(c) Discuss (i) bullet proof plastics (ii) green house effects

[6+4+6]

5.(a) Explain compounding and vulcanization of rubber.

(b) What is copolymerization. Give any two examples. (c) Write notes on (i) caustic embrittlement (ii) galvanizing

[7+3+6]

6.(a) Write notes on (i) LPG (ii) diesel knocking (iii) Ni-Cd battery

(b) A sample of coal was found to contain the following constituents: C = 81%; O=7%;

S=2%; N=5.5% and ash=4.5%. Calculate the minimum amount of air required for

complete combustion of 1 kg of coal.

(c) Explain break-point chlorination of water.

[9+4+3]

7.(a) Write any four applications of carbon nanotubes.

(b) Explain the working of photovoltaic cells with a neat sketch.

(c) Write notes on (ii) Impressed current cathodic protection (ii) galvanic cell

[5+5+6]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(a) Name the various fractions obtained during fractional distillation of crude oil and indicate

their boiling point ranges and uses of various fractions.

(b) The ion conductance of H+ and butyrate ions are 339.8 and 30.6 Scm

2 equiv

-1

respectively. When same conductance cell is employed 0.1 M KCl and 0.1 M butyric

acid recorded conductances of 1.3 x 10-2

and 5.25 x 10-4

Scm2 respectively . If the

conductivity of the above KCl solution is 0.0121 S cm-1

, calculate the degree of

dissociation of butyric acid. (c) Write notes on (i) turbine deposits (ii) Anodized coatings (iii) Solar reflectors

[6+7+9]

PART-B

2.(a) Describe (i) zeolite process (ii) Priming and foaming

(b) Calculate the amount of lime and soda required for the softening of 150 liters of water,

which is analyzed as: temporary hardness = 20 ppm; permanent hardness = 15 ppm;

permanent Mg hardness = 10 ppm.

(c) Discuss the preparation of Bakelite and Thiokol and mention their uses.

[6+4+6]

3.(a) Explain with neat diagrams the working of (i) glass electrode (ii) concentration cell

(iii) Lechlanche cell

(b) Describe any one method of catalytic cracking process for obtaining gasoline.

[10+6]

4.(a) Explain electrochemical corrosion.

(b) Explain galvanizing and tinning.

(c) Describe any two methods of synthesis in green chemistry.

[6+4+6]

5.(a) Describe with neat sketches, any two moulding techniques of plastics. (b) What are the drawbacks of natural rubber.

(c) What are the different constituents of paints and give their function.

(d) Write notes on caustic embrittlement. [6+4+3+3]

6.(a) Define calorific value, HCV and LCV. Calculate the gross and net calorific value of coal

having the following compositions C = 83%; H = 10%; S = 1%, N = 3%, Ash = 3%.

Latent heat of steam = 587 cal/g.

(b) Discuss (i) applications of Kohlrausch law (ii) scales and sludges

[10+6]

7.(a) Write notes on (i) deterioration of cement concrete (ii) Types of Liquid crystals (iii) Need

of green chemistry

(b) Explain (i) electrochemical cell (ii) metal cladding

[10+6]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(a) Write notes on (ii) CNG (ii) properties of Thiokol (iii) phosphate coatings

(b) Explain the mechanism of setting and hardening of cement.

(c) Calculate the amount of lime (84% pure) and soda (92% pure) required for softening

10, 000 litres of water containing the following salts per litre:

Ca(HCO3)2 = 40.5 mg; Mg(HCO3)2 = 36.5 mg; MgSO4 = 30 mg; CaSO4 = 34 mg;

CaCl2 = 27.75 mg and NaCl = 10 mg. Also calculate the temporary hardness and

permanent hardness of the water sample.

[7+6+9]

PART-B

2.(a) Describe with neat sketch ion exchange process of softening of water.

(b) Write notes on (i) scales and sludges (ii) tacticity

(c) What is condensation polymerization? Explain with example.

[6+8+2]

3.(a) Describe the construction and working of hydrogen-oxygen fuel cell.

(b) At 25 0C, the equivalent conductivities at infinite dilution of HCl, CH3COONa and NaCl

are 428.03, 93.3, and 125.78 ohm-1

cm2 equiv

-1 respectively. Calculate the equivalent

conductance of acetic acid at infinite dilution

(c) Discuss the ultimate analysis of coal

[7+3+6]

4.(a) Discuss the mechanism of dry corrosion. Explain the role of oxide film in dry corrosion.

(b) Explain the importance of design and selection of materials in controlling corrosion.

(c) Describe any two preparation methods for carbon nanotubes with neat sketch diagrams.

[6+4+6]

5.(a) Explain free radical mechanism of addition polymerization.

(b) Write the preparation and uses of (i) PVC (ii) Bakelite

(c) Write notes on (i) Reverse Osmosis (ii) anodic and cathodic inhibitors

[4+6+6]

6. Write notes on (i) refining (ii) octane number (iii) antiknocking agents (iv) cold lime soda

process (v) calomel electrode

[16]

7.(a) Write any four applications of (i) green chemistry (ii) liquid crystals (iii) fullerenes

(b) Write notes on (i) drying, semidrying and nondrying oils (ii) Kohlrausch law

[10+6]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|

Subject Code: R13104/R13 I B. Tech I Sem Regular Examinations Feb./Mar. - 2014





*****

PART-A

1.(a) Write notes on (i) breakpoint chlorination (ii) ionic liquids as green solvents for

green synthesis (iii) electroless plating

(b) A sample of coal containing 93% C; 5% H; 2% ash. When this coal was tested in the

laboratory for its calorific value in the bomb calorimeter, the following data was

obtained: Weight of coal burnt = 0.95 g; Weight of water taken = 600g water equivalent

of bomb and calorimeter = 2,000 g, rise of temperature = 2.840C; Cooling correction =

0.020C; Fuse wire correction = 12.0 cal; acid correction = 55 cal. Calculate the net and

gross calorific value of the coal in cal/g. (Assume the latent heat of condensation of steam

as 580 cal/g)

(c) Compare galvanic series with electrochemical series.

[12+5+5]

PART-B

2.(a) Write notes on (i) demineralization process (ii) sterilization of water

(b) A sample of water contains the following dissolved salts per litre: Mg(HCO3)2 = 25 mg;

MgCl2 = 28 mg; CaSO4 = 24 mg; CaCl2 = 84 mg. Calculate the temporary and permanent

hardness.

(c) Discuss the physical and mechanical properties of polymers.

[6+4+6]

3.(a) What are secondary batteries? Give an example and explain its construction and

working.

(b) Describe conductometric titrations of acids and bases.

(c) Write notes on (i) petrol knocking and diesel knocking (ii) characteristics of a good fuel.

[5+5+6]

4.(a) Discuss on differential aeration corrosion

(b) Write notes on (i) Pilling- Bed worth rule (ii) passivity (iii) solar cells (iv) chemical vapour

deposition method of CNTs

[4+12]

5.(a) Write notes on (i) stereospecific polymers (ii) Injection moulding (iii) vulcanization

(b) Explain (i) metal cladding (ii) calgon and phosphate conditioning

[10+6]

6.(a) Describe moving bed catalytic cracking method with a neat labeled diagram.

(b) Write notes on flue analysis and its significance.

(c) Explain how specific and equivalent conductances of a strong electrolyte vary with

dilution.

(d) Discuss boiler corrosion.

[6+4+3+3]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


7.(a) Write notes on (i) applications of liquid crystals (ii) any one method of green synthesis

(iii) fiber reinforced plastics

(b) Discuss sacrificial anodic protection method.

(c) Calculate the emf of the following cell: Zn (s)/Zn2+

(0.1 M)// Cu2+

(1.50M)/Cu(s) at

25oC. E

o Zn2+/ Zn (s) = -0.76 V and E

o Cu2+ /Cu(s) = +0.34 V.

[10+3+3]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


ENGINEERING DRAWING (Electrical and Electronics Engineering (EEE))




*****

PART-A

1.(a) Draw the isometric view of Fig.1. (All dimensions are in mm)

Fig.1

(b) A cone of base 40 mm diameter and 55 mm height rests on its circular rim such that one

of its generators is perpendicular to HP and axis parallel to VP. Draw its three views.

[11+11]

PART-B 2.(a) Inscribe an ellipse in a parallelogram having sides 150 mm and 100 mm long and a

shortest side is 120° w.r.t horizontal.

(b) Draw an octagon given the length of side 25 mm, using general method?

[8+8]

3.(a) A point 30 mm above ‘xy’ line is the plane view of two points P and Q. The elevation of

P is 45 mm above the HP while that of the point Q is 35 mm below the HP. Draw the



(b) The length of the top view of a line parallel to the VP and inclined at 450 to the HP is

50mm. One end of the line is 12mm above the HP and 25mm in front of the VP. Draw

the projections of the line and determine its true length.

[8+8]

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4. A line AB is 75mm long. A is 50mm in front of VP and 15mm above HP. B is 15mm in

front of VP and is above HP. Top views of AB is 50mm long. Find the front view length

and true inclinations.

[16]

5. A regular hexagonal lamina of 25mm side has a central hole of 30mm diameter. Draw the

front and top views when the surface of the lamina is inclined at 450

to HP. A side of

lamina is inclined at 350 to VP.

[16]

6. A hexagonal prism, side of base 25 mm and axis 60 mm long, lies with one of its

rectangular faces on HP, such that the axis is inclined at 450 to VP. Draw its top, front

and profile views.

[16]

7. Draw (i) Front view (ii) Both side views (iii) Top view of Fig.2. (All dimensions are in

mm)

[16]

Fig.2

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*****

PART-A

1.(a) Draw (i) Front view (ii) Side view from the right (iii) Top view of Fig.1. (All

dimensions are in mm)

Fig.1.

(b) A cube of 40 mm side is resting on one of its edge on the H.P. with its vertical faces

equally inclined to VP. Draw the top, front and right side views.

[11+11]

PART-B

2.(a) On a map the distance between two points is 14 cm. The real distance between them is

20 km. Draw a diagonal scale for this map to read kilometers and hectameters, and to

measure up to 25 km. show a distance of 17.6 km on this scale.

(b) A boy throws a cricket ball from the top of a building 4m high. The ball crosses the top of

a palm tree 9m high and falls on the ground. Distance between the building and the tree is

3m. Plot the path of the projectile.

[8+8]

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3.(a) A point P is 20 mm below HP and lies in the third quadrant. Its shortest distance from xy


(b) The top view of a 75mm long line measures 55 mm. The line is in the VP, its one end

being 25 mm above the HP. Draw its projections.

[8+8]

4. A line AB 100 mm long has its front view inclined at an angle of 450 to the reference line

separating the views. The end A is in the VP and 25 mm above HP. The length of the

front view is 60 mm. Draw the top view of the line and find the true inclinations of the

line with HP and VP.

[16]

5. Draw a rhombus of diagonals 100 mm and 60 mm long, with the longer diagonal

horizontal. The figure is the top view of a square of 100 mm long diagonals, with a

corner on the ground. Draw its front view and determine the angle which its surface

makes with the ground.

[16]

6. Draw the three views of a square pyramid of 30 mm side of base and axis 55 mm. It is

resting on HP on one of its base corners with a base side containing the corner making

300 with HP. The axis is inclined at 30

0 to VP and is parallel to HP. The vertex is away

from VP.

[16]

7. Draw the isometric view of Fig.2. (All dimensions are in mm)

[16]

Fig.2

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*****

PART-A

1.(a) Draw the isometric view of Fig.1: (All dimensions are in mm)

Fig.1

(b) The top view of a line CD has a length of 80 mm and makes 300 with the horizontal. The

end C is in the VP and 52 mm above the HP. The end D is in the HP. Draw the

projections of the line. Find true length and true inclinations with the HP and the VP.

Mark its traces on the two planes.

[11+11]

PART-B

2.(a) A car is running at a speed of 50 km/hour. Construct a diagonal scale to show 1 km by 3

cm and to measure upto 6 km. Mark also on the scale the distance covered by the car in 5

min 28 seconds.

(b) Construct a pentagon inscribed in a circle of diameter 80 mm?

[8+8]

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3.(a) Two points A and B are in the HP. The point A is 30 mm in front of the VP while B is

behind the VP. The distance between their projectors is 75 mm and the line joining their

top views makes an angle of 450 with xy. Find the distance of the point B from the VP.

(b) A 100 mm long line is parallel to and 40mm above the HP. Its two ends are 25 mm and

50 mm in front of the VP respectively. Draw the projections and find its inclination with

the VP.

[8+8]

4. A line CD measuring 80mm is inclined at an angle of 300 to the HP and 45

0 to the VP.

The point C is 20 mm above the HP and 30 mm in front of the VP. Draw the projections

of the straight line.

[16]

5. A hexagonal plate of negligible thickness is of 25 mm side, lying in such a way that one

of its corners touches the both the reference planes the plane makes an angle of 600

with

the HP and 300 with the VP. Draw the three views.

[16]

6. A pentagonal prism, side of base 25 mm and axis 50 mm long rests with one of its edges

on the HP such that the base containing that edge makes an angle of 300 to the HP and its

axis is parallel to the VP. Draw its top, front and profile views.

[16]

7. Draw (i) Front view (ii) Both side views (iii) Top view of Fig.2. (All dimensions are in

mm)

[16]

Fig.2

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*****

PART-A

1.(a) Draw all the three views of Fig.1: (All dimensions are in mm)

Fig.1

(b) A straight line AB 100 mm long is inclined at 45° to the HP and 30° to the VP. It’s one

end A is 25 mm above the HP and 40mm in front of the VP. Draw the projections of the

straight line and it’s traces. Measure the distance of the H.T and the V.T of the line from

XY reference line?

[11+11]

PART-B

2.(a) Draw a Vernier scale of R.F=5 to read 1/5 cm and 1/25 cm and to measure upto 5 cm.

Mark on the scale distances of 2.12 cm.

(b) The major axis of an ellipse is 150 mm long and the minor axis is 100 mm long. Find the

foci and draw the ellipse by “arcs of circles method”. Draw a tangent to the ellipse at a

point on it 25 mm above the major axis.

[8+8]

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3.(a) A point P in the first quadrant. Its shortest distance from the intersection point of HP and

VP and Auxiliary vertical plane, perpendicular to the HP and the VP is 70 mm and it is

equidistant from principal planes. Draw the projections of the point and determine its

distance from the HP and the VP.

(b) The front view of a line, inclined at 300 to the VP is 65mm long. Draw the projections of

the line, when it is parallel to and 40 mm above the HP, its one end being 30mm in front

of the VP.

[8+8]

4. A line PQ 75 mm long has its end P in both the HP and the VP. It is inclined at an angle

of 300 to the HP and 45

0 to the VP. Draw the projections?

[16]

5. A thin circular plate of 50 mm diameter lies on the HP such that its surfaces is inclined at

450 to the HP. The diameter through the point on which the plate lies on the HP appears

to be inclined at 450 to the VP in the top view. Draw its projections.

[16]

6. A cylinder of base diameter 40 mm and axis 55 mm long rests on the H.P on a point on

the circumference of the base with its axis inclined at 450 to the H.P and parallel to the

VP. Draw its projections.

[16]

7. Draw the isometric view of Fig.2: (All dimensions are in mm)

[16]

Fig.2

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*****

PART-A 1.(i) State the laws of friction

(ii) State and prove Lami’s theorem

(iii) A semi-circular area is removed from a trapezium as shown in Fig.1 (dimensions in mm).

Fig:1

Determine the centroid of the remaining area (shown hatched).

(iv) State and Prove the parallel axis theorem, to determine the moment of inertia of areas with

the help of a neat sketch.

(v) Establish the Relationship between Angular motion & linear motion

(vi) Explain the concept of work? What are the units of work?

[3+4+5+6+2+2]

PART –B

2.(a) Three bars, hinged at A and D and pinned at B and C as shown in Fig:2 form a four-linked

mechanism. Determine the value of P that will prevent movement of bars.

Fig:2

(b) The position of a particle moving along a straight line is defined by the relation x=t3-

9t2+15t+18 where x is expressed in metre m and t in seconds. Determine the time, position,

and acceleration of the particle when its velocity becomes zero?

[8+8]

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3.(a) Determine the centroid of a triangle of base ‘b’ and height ‘h’?

(b) Three cylinders weighing 100 N each and of 80 mm diameter are placed in a channel of

180 mm width as shown in Fig:3

Determine the pressure exerted by (i) the cylinder A on B at the point of contact; (ii)the

cylinder B on the base and on the wall.

[8+8]

Fig.3

4.(a) Find the mass Moment of Inertia of circular plate of radus R and thickness t about its

centroidal axis

(b) A force of 250 N pulls a body of weight 500 N up an inclined plane, the force being

applied parallel to the plane. If the inclination of the plane to the horizontal is 15o, find the

coefficient of friction?

[8+8]

5.(a) Differentiate kinematics and kinetics?

(b) Locate the co-ordinates of the centroid of the shaded area of a lamina shown in Fig:4?

[4+12]

Fig:4

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6.(a) Derive work energy equation for translation?

(b) Two men carry a weight of 2 KN by means of two ropes fixed to the weight. One rope is

inclined at 45o and the other at 30

o with their vertices. Find the tension in each rope?

[8+8]

7.(a) Locate the centre of gravity of the right circular cone of base radius r and height h shown in

Fig:5

Fig:5

(b) A bullet of weight 0.3 N is fired horizontally into a body of weight 100 N which is

suspended by a string 0.8 m long. Due to this impact the body swings through an angle of

30o. Find the velocity of the bullet and the loss in the energy of the system? (as shown in

Fig:6)

[8+8]

Fig:6

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*****

PART-A

1.(i) Prove that angle of repose is same as the value of limiting angle friction?

(ii) A uniform sphere of weight W rests between a smooth vertical plane and a smooth plane

inclined at an angle with the vertical plane. Find the reaction at the contact surfaces.

(iii) Determine the mass moment of inertia of a rectangular plate of size a x b and thickness

about its centroidal axes.

(iv) What is the difference between certroid and centre of gravity?

(v) A stone is dropped into a well while splash is heard after 4.5 s. Another stone is dropped

with an initial velocity v and the splash is heard after 4 s. If the velocity of a sound is 336

m/s, determine the initial velocity of second stone?

(vi) Derive the equation for motion of connected bodies?

[3+4+4+4+4+3]

PART-B

2.(a) The block A shown in Fig.1 weighs 2000 N. The cord attached to A passes over a

frictionless pulley and supports a weight equal to 800N. The value of coefficient of friction

between A and the horizontal plane is 0.35. Solve for horizontal force P: (1) If motion is

impending towards the left, and (2) If the motion is impending towards the right?

Fig.1

(b) Derive work energy equation for translation?

[8+8]

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Set No - 2

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Subject Code: R13110/R13 3.(a) What is free body diagram and what are the rules for drawing FBD?

(b) Determine the maximum height h of the cylindrical portion of the body with hemispherical

base shown in Fig.2 so that it is in stable equilibrium on its base.

[4+12]

Fig.2

4.(a) Derive the centroid of a parabolic spandrel?

(b) State the equations of equilibrium of a rigid body experiencing a planar motion?

[8+8]

5.(a) Derive the Moment of Inertia of a quarter circle of radius ‘r’ about the base and the

centroidal axes?

(b) A tripod is acted upon by forces at ‘P’ as shown in the Fig.3 Determine the forces in the

legs of tripod if the legs rest on ground at A, B and C whose coordinates with respect to O

are as shown in the Fig.3 The height of ‘P’ above the origin is 10 m.

[8+8]

Fig.3

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6.(a) A flywheel of 550 mm diameter is brought uniformly from rest up to a speed of 350 rpm in

20 s. Find the velocity and the acceleration of a point on its rim 3 s after starting from rest?

(b) The resultant of two forces acting at a point is 65 kN. It is observed that one force is double

than that of the other and if the direction of one of them is reversed the resultant becomes

45 kN. Find the magnitudes of forces and the angle between them.

[8+8]

7.(a) Determine the tension in the string and the velocity of 1500 N block shown in Fig.4

5 seconds after starting from

(i) Rest

(ii) Starting with a downward velocity of 3 m/sec.

Assume pulleys as weightless and frictionless.

Fig.4

(b) State and prove the Pappus theorems?

[10+6]

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*****

PART-A 1.(i) State and prove Varignon’s theorem?

(ii) Three forces of magnitudes P, 100 N and 200 N are acting at a point O as shown in Fig.1

Determine the magnitude and direction of the force P

Fig.1

(iii) Determine the CG of a flat plate of thickness ‘t’, unit weight of the material ‘γ’.

(iv) Determine the mass moment of inertia of a uniform rod of length L about its: (a) centroidal

axis normal to rod, and (b) axis at the end of the rod and normal to it.

(v) A pendulum consists of a bob of 4 kg mass, supported by a thin rod pivoted at 1 m from the

centre of the bob. The bob is moved, so that the rod makes an angle of 20o with the vertical

and then released. What is the linear and angular velocity of the bob, when it swings back

to the vertical position? The weight of the rod and the frictional resistance may be

neglected?

(vi) A bus is travelling on a curved portion of a highway of radius 600m at a speed of 108

km/h. The brakes are suddenly applied, which causes the speed to reduce at a constant rate

of 1.5 m/s2. Calculate the magnitude of the total acceleration of the bus (i) immediately

after the brakes have been applied. [4+4+3+4+4+3]

PART –B 2.(a) Two blocks A and B each weighing 1500 N are connected by a uniform horizontal bar

which weighs 1000 N. If the angle of limiting friction under each block is 15o, find the

force P directed parallel to the 60o inclined plane that will cause motion impending to the

right. (as shown in Fig.2)

Fig.2

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(b) Determine the radius of gyration of the body shown in Fig.3 about centroidal x axis. The

grooves are semicircular with radius 40 mm. All dimensions shown are in mm.

[8+8]

Fig.3

3.(a) Two cylinders, A of weight 4000 N and B of weight 2000 N rest on smooth inclines as

shown in Fig.4. They are connected by a bar of negligible weight hinged to each cylinder at

its geometric centre by smooth pins. Find the force P to be applied as show in the figure

such that it will hold the system in the given position

Fig.4

(b) A wheel, rotating about a fixed axis at 30 r.p.m is uniformly accelerated for 50 seconds,

during which time it makes 40 revolution. Find: (i) angular velocity at the end of this

interval, and (ii) time required for the speed to reach 80 revolution per minute.

[8+8]

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4.(a) Determine the coordinates xc and yc of the centre of a 100 mm diameter circular hole cut in

a thin plate so that this point will be the centroid of the remaining shaded area shown in

Fig.5 (All diamensions are in mm).

Fig.5

(b) A gun of mass 2500 kg fires horizontally a shell of mass 40 kg with a velocity of 350 m/s.

What is the velocity with which the gun will recoil? Also determine the force required to

stop the gun in 0.8m. In how much time will it stop?

[8+8]

5.(a) Determine the mass moment of inertia of a solid sphere of radius R about its diametral

axis?

(b) Two smooth spheres each of radius 100 mm and weight 100 N, rest in a horizontal channel

having vertical walls, the distance between which is 360 mm. Find the reactions at the

points of contacts A,B,C and D shown in Fig.6 (All diamensions are in mm)

[6+10]

Fig.6

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Subject Code: R13110/R13 6.(a) An elevator of gross weight 4500 N starts to move upwards with a constant acceleration

and acquires a velocity of 1.2 m/s after travelling a distance of 2.4 m. Find the pull in the

cable during acceleration motion. If the elevator, when stopping, moves with a constant

deceleration from a constant velocity of 1.8 m/s and comes to rest in 2 s, calculate the force

transmitted by a man weighing 600 N to the floor during stopping.

(b) What should be the value of in Fig.7 which will make the motion of 900 N block down

the plane to impend? The coefficient of friction for all contact surfaces is ⅓.

[8+8]

Fig.7

7.(a) Determine the constant force P that will give the system of bodies shown in Fig.8 a velocity

of 3m/sec after moving 4.5 m from rest. Coefficient of friction between the blocks and the

plane is 0.3. Pulleys are smooth.

Fig.8

(b) Locate the centroid of the I-section shown in Fig.9 (All diamensions are in mm)

[8+8]

Fig.9

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*****

PART-A 1.(i) A force F=10i+13j-12k acts a point O, which is the origin. Find the magnitude and the

direction of the force.

(ii) Write about different types of equilibrium?

(iii) State and prove Pappus theorems?

(iv) A semi-circle of 90 mm radius is cut out from a trapezium section as shown in Fig.1 (All

diamensions are in mm)

Fig.1

(v) A bullet is fired at a angle of 45o with the horizontal with a velocity of 275 m/sec. How

high the bullet will rise and what will be its horizontal range? Take g=9.8 m/sec2.

(vi) A body weighing 300 N is pushed up a 30o plane by a 400 N force acting parallel to the

plane. If the initial velocity of the body is 1.5 m/sec and coefficient of kinetic friction is

µ=0.2, what velocity will the body have after moving 6m?

[3+3+4+4+4+4]

PART-B

2.(a) Two smooth spheres each of radius 100 mm and weight 100 N, rest in a horizontal channel

having vertical walls, the distance between which is 360 mm. Find the reactions at the

points of contacts A,B,C and D shown in Fig.2 (All diamensions are in mm)

Fig.2

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(b) Determine the time required for the weights shown in Fig.3 to attain a velocity of 9.81

m/sec. What is tension in the chord? Take µ=0.2 for both planes. Assume the pulleys as

frictionless

[8+8]

Fig.3

3.(a) A ladder 5 metres long rests on a horizontal ground and leans against a smooth vertical

wall at an angle 70o with the horizontal. The weight of the ladder is 900 newtons and acts at

its middle. The ladder is at the point of sliding, when a man weighing 750 newtons stands

on a rung 1.5 metre from the bottom of the ladder.

(b) Determine the constant force P that will give the system of bodies shown in Fig.4 a velocity

of 3m/sec after moving 4.5 m from rest. Coefficient of friction between the blocks and the

plane is 0.3. Pulleys are smooth.

[8+8]

Fig.4

4.(a) Two blocks A and B each weighing 1500 N are connected by a uniform horizontal bar

which weighs 1000 N. If the angle of limiting friction under each block is 15o, find the

force P directed parallel to the 60o inclined plane that will cause motion impending to the

right.(as shown in Fig.5)

Fig.5

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(b) Identify the co-ordinates of the centroid of plane area shown in Fig.6? (All diamensions are

in mm)

[8+8]

Fig.6

5.(a) Determine the coordinates xc and yc of the centre of a 100 mm diameter circular hole cut in

a thin plate so that this point will be the centroid of the remaining shaded area shown in

Fig.7 (All diamensions are in mm).

Fig.7

(b) What is the value of P in the system shown in Fig.8 to cause the motion to impend?

Assume the pulley is smooth and coefficient of friction between the other contact surfaces

is 0.02.

[8+8]

Fig.8

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6.(a) Define (i) Angular displacement (ii) Angular velocity (iii)Angular acceleration.

(b) Determine the coordinates of the centroid of the plane area shown in Fig.9 with reference

to the axes shown. Take x=40 mm.

[8+8]

Fig.9

7.(a) Derive the parallel axis theorem in mass moment of inertia?

(b) A stone is dropped into a well without initial velocity. It splash is heard after 3.5 seconds.

Another stone is dropped with some initial velocity and its splash is heard after 3 seconds.

Determine the initial velocity of the second stone if velocity of sound is 335 m/sec.

[8+8]

Page 4 of 4

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*****

PART-A

1.(i) What are the necessary conditions for obtaining interference fringes?

(ii) Explain the characteristic of laser.

(iii) What are polar and non-polar dielectrics?

(iv) Explain the terms ‘Reverberation’ and ‘Reverberation time’.

(v) Explain the salient features of Classical free electron theory?

(vi) Explain the electronic transport mechanism for Photo Conductors.

[3+4+4+3+4+4]

PART-B

2.(a) What is meant by Diffraction of light? Explain it on the basis of Huygen’s wave theory.

(b) Derive expressions for Acceptance angle and Numerical Aperture of an Optical fiber.

(c) Distinguish between soft and hard magnetic materials.

[4+8+4]

3.(a) Explain in detail the principle of Optical fiber.

(b) Explain with necessary theory, the Fraunhofer diffraction due to ‘n’ slits.

(c) Find the relaxation time of conduction electrons in a metal of resistivity 1.54 x 10-8

Ω-m, if the metal has 5.8 x 1028

conduction electrons per m3.

[4+8+4]

4.(a) Derive the relation between the Einstein coefficients.

(b) Derive an expression for the electrical conductivity of a material in terms of mobility of

the electron using classical free electron theory.

[8+8]

5.(a) Explain the origin of magnetism in materials.

(b) Derive Sabine’s formula for ‘Reverberation time’.

[4+12]

6.(a) Derive time dependent Schrodinger wave equation.

(b) Draw and explain B-H curve for a ferromagnetic material placed in a magnetic field.

[8+8]

7.(a) State and explain Hall effect.

(b) Identify whether unit cells of SC, BCC and FCC lattices are primitive or not. Explain

with reason.

(c) Write the difference between Spontaneous and Stimulated Emissions.

[6+6+4]

Page 1 of 1

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*****

PART-A

1.(i) What are the necessary conditions for obtaining interference fringes?

(ii) What is meant by Intermodal dispersion in optical fibers? How to overcome this

problem? Explain.

(iii) What are polar and non-polar dielectrics?

(iv) What are the fundamental laws of electromagnetism?

(v) Explain the salient features of Classical free electron theory?

(vi) Write notes on Direct and Indirect band gap semiconductors.

[3+4+4+3+4+4]

PART-B

2.(a) What is meant by Diffraction of light? Explain it on the basis of Huygen’s wave theory.

(b) Explain the working of Ruby laser with the help of neat energy level diagram.

(c) Draw the crystal planes having Miller indices (110) and (211).

[5+8+3]

3.(a) Explain the origin of energy bands in solids.

(b) Derive expression for interplanar spacing between two adjacent planes of Miller indices

(h, k, l) and lattice constant ‘a’.

(c) Calculate the maximum number of orders possible for a plane diffraction grating

[6+6+4]

4.(a) Discuss in detail the electronic, ionic and orientational polarizations and their dependence

on temperature.

(b) Explain Meissner effect. Describe soft and hard superconductors.

[8+8]

5.(a) Distinguish between conductors, semiconductors and insulators.

(b) Derive Sabine’s formula for ‘Reverberation time’.

[4+12]

6.(a) Derive expression for Hall coefficient.

(b) Derive an expression for the effective mass of an electron moving in energy bands of a

solid. Show how it varies with the wave vector.

(c) Define the terms ‘Reverberation’ and ’Reverberation time’.

[6+6+4]

7.(a) Write notes on Direct and Indirect band gap semiconductors.

(b) Deduce an expression for Lorentz field relating to a dielectric material.

(c) The RH of a specimen is 3.66x10-4

m3 c

-1. Its resistivity is 8.93x10

-3Ωm. Find mobility

and charge carrier concentration.

[4+8+4]

Page 1 of 1

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*****

PART-A

1.(i) Distinguish between Interference and Diffraction.

(ii) Explain the characteristic properties of laser.

(iii) The penetration depths for Lead at 3K and 7.1K are 39.6nm and 173nm respectively.

Calculate the critical temperature for Lead.

(iv) Explain the terms ‘Reverberation’ and ‘Reverberation time’.

(v) Explain the concept of hole.

(vi) Explain the electronic transport mechanism for Photo Conductors.

[3+4+4+3+4+4]

PART-B

2.(a) Derive expressions for Acceptance angle and Numerical Aperture of an Optical fiber.

(b) State Brewser’s law. How can this law be used to produce plane polarized light?

(c) Explain in detail the flux quantization in a Superconducting ring.

[8+4+4]

3.(a) Explain the principle of Optical fiber.

(b) Explain the principle, construction and working of a Nicol prism with neat diagram.

(c) What is meant by Intermodal dispersion in optical fibers? How to overcome this

problem? Explain.

[4+8+4]

4.(a) Discuss in detail the electronic, ionic and orientational polarizations and their dependence

on temperature.

(b) Derive the expression for condition of maxima and minima for reflected light in case of

thin transparent film of uniform thickness.

[8+8]

5.(a) State and explain Stoke’s theorem in its calculus form.

(b) Calculate the thickness of half wave plate of quartz for a wavelength 500nm. [Given that

µe= 1.553 and µo= 1.544]

(c) Write a short notes on Rayleigh’s Criterion.

[6+4+6]

6.(a) Explain the salient features of Classical free electron theory.

(b) Explain with necessary theory, the Fraunhofer diffraction due to ‘n’ slits.

(c) Find the relaxation time of conduction electrons in a metal of resistivity 1.54 x 10-8

Ω-m,

if the metal has 5.8 x 1028

conduction electrons per m3.

[4+8+4]

7.(a) What do you understand by drift and diffusion currents in the case of a semiconductor?

Deduce Einstein’s relation relating to these currents.

(b) Derive Eigen values and Eigen functions for a particle in a one dimensional potential

box. [8+8]

Page 1 of 1

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||''''|||''|'''||''|






*****

PART-A

1.(i) Calculate the maximum number of orders possible for a plane diffraction grating.

(ii) What is meant by Intermodal dispersion in optical fibers? How to overcome this

problem? Explain.

(iii) The penetration depths for Lead at 3K and 7.1K are 39.6nm and 173nm respectively.

Calculate the critical temperature for Lead.

(iv) What are the fundamental laws of electromagnetism?

(v) Explain the concept of hole.

(vi) Write notes on Direct and Indirect band gap semiconductors.

[3+4+4+3+4+4]

PART-B

2.(a) Derive expression for interplanar spacing between two adjacent planes of Miller indices

(h, k, l) and lattice constant ‘a’.

(b) State Brewser’s law. How can this law be used to produce plane polarized light?

(c) Explain in detail the flux quantization in a Superconducting ring.

[8+4+4]

3.(a) Identify whether unit cells of SC, BCC and FCC lattices are primitive or not. Explain

with reason.

(b) Derive an expression for wavelength of light in Newton’s rings experiment.

(c) Distinguish between soft and hard magnetic materials.

[4+8+4]

4.(a) Explain the origin of magnetism in materials.

(b) Explain the principle, construction and working of a Nicol prism with neat diagram.

(c) Draw the crystal planes having Miller indices (110) and (211).

[4+8+4]

5.(a) State and explain Stoke’s theorem in its calculus form.

(b) The RH of a specimen is 3.66x10-4

m3 c

-1. Its resistivity is 8.93x10

-3Ωm. Find mobility

and charge carrier concentration.

(c) Derive an expression for the effective mass of an electron moving in energy bands of a

solid. Show how it varies with the wave vector.

[6+4+6]

6.(a) Explain the origin of energy bands in solids.

(b) Write notes on Rayleigh’s Criterion.

(c) Derive expression for Hall coefficient.

[6+6+4]


(b) Draw and explain B-H curve for a ferromagnetic material placed in a magnetic field.

(c) Calculate the thickness of half wave plate of quartz for a wavelength 500nm. [Given that

µe= 1.553 and µo= 1.544]

[6+6+4]

Page 1 of 1

Set No - 4

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I B. Tech I Semester

ENGINEERING DRAWING(Common to ECE,




1.(a) Draw the isometric view of Fig.1.

Note: All dimensions are in mm.

(b) Draw the projections of the straight line AB of 100 mm length when one of its ends is

touching V.P and the other end is touching HP. The angles of inclination

V.P are 400 and 50

0 respectively.

2.(a) The area of a field is 50000 sq m. The length and the breadth of the field, on the map is 10

cm and 8 cm respectively. Construct a diagonal scale which can read up to one metre.

Mark the length of 235 metre on the scale. What is R.F of the scale?

(b) The foci of an ellipse are 90 mm apart and the minor axis is 72 mm long. Determine the

length of the major axis. Construct the ellipse.

Subject Code: R13109/R13 ester Regular Examinations Feb./Mar. - 2014

ENGINEERING DRAWING (Common to ECE, EIE, Bio-Tech, EComE, Agri.E)




*****

PART-A

Draw the isometric view of Fig.1.


Fig.1

Draw the projections of the straight line AB of 100 mm length when one of its ends is

touching V.P and the other end is touching HP. The angles of inclination

respectively.

PART-B

The area of a field is 50000 sq m. The length and the breadth of the field, on the map is 10


length of 235 metre on the scale. What is R.F of the scale?

of an ellipse are 90 mm apart and the minor axis is 72 mm long. Determine the

length of the major axis. Construct the ellipse.

Page 1 of 2

2014


Draw the projections of the straight line AB of 100 mm length when one of its ends is

touching V.P and the other end is touching HP. The angles of inclination with H.P and

[12+10]

The area of a field is 50000 sq m. The length and the breadth of the field, on the map is 10


of an ellipse are 90 mm apart and the minor axis is 72 mm long. Determine the

[8+8]

Set No - 1

||''''|||''|'''||''|


3.(a) Two points A and B are in H.P. The point A is 30 mm in front of the V.P while B is

behind the V.P. The distance between their projectors is 75 mm and the line joining their

top views makes an angle of 450 with xy. Find the distance of the point B from the V.P.

(b) A line PQ 40 mm long is parallel to V.P and inclined at an angle of 300 to H.P. The lower

end P is 15 mm above H.P and 20 mm in front of V.P. Draw the projections of the line.

[8+8]

4. The front view of a line AB measures 65 mm and makes an angle of 450 with xy. A is in

the H.P and the VT of the line is 15 mm below the H.P. The line is inclined at 300 to the

V.P. Draw the projections of AB and find its true length and inclination with the H.P. Also

locate its H.T.

[16]

5. Draw the projections of the circle of 50 mm diameter resting in the H.P on a point A on

the circumference, its plane inclined at 450 to the H.P and

(a) The top view of the diameter AB making 300 angle with the V.P

(b) The diameter AB making 300 angle with the V.P.

[16]

6. Draw the projections of a cylinder 75mm diameter and 100 mm long, lying on the ground

with its axis inclined at 300 to the V.P and parallel to the ground.

[16]

7. Draw (i) Front view (ii) Side view from the right (iii) Top view of Fig: 2

[16]


Fig: 2

Page 2 of 2

Set No - 1

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*****

PART-A

1.(a) Draw (i) Front view (ii) Top view of Fig.1.


Fig.1

(b) A circular plate of negligible thickness and 50 mm diameter appears as an ellipse in the

front view, having its major axis 50 mm long and minor axis 30 mm long. Draw its top

view when the major axis of the ellipse is horizontal.

[12+10]

PART-B

2.(a) Construct a vernier scale of R.F=1/80 to read inches and to measure up to 15 yards.

(b) Construct a regular hexagon of side 28 mm when one side is horizontal.

[8+8]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|


3.(a) The top view of a 75 mm long line measures 55 mm. The line is in the V.P, its one end

being 25 mm above the H.P. Draw its projections.

(b) A point P is 15 mm above H.P and 20 mm in front of the V.P. Another point Q is 25 mm

behind the V.P and 40 mm below the H.P. Draw projections of P and Q keeping the

distance between their projectors equal to 90 mm. Draw straight lines joining

(i) their top views and (ii) their front views.

[8+8]

4. A line PQ, 100 mm long, is inclined at 450 to the H.P and at 30

0 to the V.P. Its end P is in

the second quadrant and Q is in the fourth quadrant. A point R on PQ, 40 mm from P is in

both the planes. Draw the projections of PQ.

[16]

5. Draw the projections of a regular hexagon of 25 mm side, having one of its sides in the

H.P and inclined at 600 to the V.P and its surface making an angle of 45

0 with the H.P.

[16]

6. Draw the projections of a cone, base 75 mm diameter and axis 100 mm long, lying on the

H.P on one of its generators with the axis parallel to the V.P.

[16]

7. Draw the isometric view of Fig.2:

[16]


Fig.2

Page 2 of 2

Set No - 2

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*****

PART-A

1.(a) Draw the isometric view of Fig.1


Fig.1

(b) A thin circular plate of 70 mm diameter is resting on its circumference such that its plane

is inclined 600 to the H.P and 30

0 to the V.P. Draw the projections of the plate.

[12+10]

PART-B

2. (a) Construct a diagonal scale of R.F=1/4000 to show metres and long enough to measure

upto 500 metres.

(b) Construct a regular hexagon of 35 mm side with one of its side vertical?

[10+6]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


3. (a) The front view of a line inclined at 300 to the V.P is 65 mm long. Draw the projections of

the line, when it is parallel to and 40 mm above the H.P, its one end being 30 mm in front

of the V.P.

(b) Mark the projections of the following points on a common reference line, keeping the

projectors 35mm apart.

(i) A, 25mm above H.P and 35mm in front of V.P

(ii) B, 25mm above H.P and 40 mm behind V.P

(iii) C, 30mm below H.P and 45 mm behind V.P

(iv) D, 30 mm below H.P and 40 mm in front V.P

[8+8]

4. A line AB, 90 mm long, is inclined at 450 to the H.P and its top view makes an angle of

600 with the V.P. The end A is in the H.P and 12 mm in front of the V.P. Draw its front


[16]

5. A square plate PQRS of negligible thickness having 35 mm side is lying on a corner R on

H.P. One of the diagonals RP is inclined at 350 to H.P and 40

0 to V.P. The two sides QR

and RS containing the corner R are equally inclined with H.P. Draw its projections.

[16]

6. A hexagonal pyramid side of base 25 mm axis 50 mm long lies with one of its rectangular

faces on the H.P and its axis is parallel to the V.P. Draw its projections.

[16]

7. Draw (i) Front view and (ii) Top view of Fig.2

[16]


Fig.2

Page 2 of 2

Set No - 3

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*****

PART-A

1.(a) Draw (i) front view (ii) side view from the left (iii) top view of Fig.1


Fig.1

(b) A hexagonal prism base 40 mm side and height 40 mm has a hole of 40 mm diameter

drilled centrally through its ends. Draw its projections when it is resting on one of its

corners on the H.P with its axis inclined at 600 to the H.P and two of its faces parallel to

the V.P.

[12+10]

PART-B

2. (a) Construct an ellipse when the major axis is 120 mm and the distance between the foci is

108 mm. Determine the length of the minor axis.

(b) Draw a vernier scale of R.F = 1/25 to read centimeters up to 4 metres and on it, show


[8+8]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


3. Two pegs fixed on a wall are 4.5 metres apart. The distance between the pegs measured

parallel to the floor is 3.6 metres. If one peg is 1.5 m above the floor, find the height of the

second peg and the inclination of the line joining the two pegs with the floor.

[16]

4. A line CD inclined at 250 to H.P measures 80 mm in top view. End C in the first quadrant

and 25 mm and 15 mm from H.P and V.P respectively. End D is at equal distances from

both the reference planes. Draw the projections; find true length and true inclination with

V.P. Locate the traces.

[16]

5. A 600 set-square of 125 mm longest side is so kept that the longest side in the H.P

making an angle of 300 with the V.P and the set-square itself inclined at 45

0 to the H.P.

Draw the projections of the set- square.

[16]

6. Draw the projections of a pentagonal pyramid of base 25 mm side and axis 60 mm long

when it is lying on H.P on one of its base edges, such that the axis is parallel to VP and

inclined at 300 to HP.

[16]

7. Draw the isometric view of Fig.2:

[16]


Fig. 2.

Page 2 of 2

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(i) What does societal transformation result in?

(ii) What is L.A Hill’s advice regarding the need to improve step by step thought?

(iii) What is a temperature belt?

(iv) What made Gandhi to think that he had to economize?

(v) How did the clergyman help Scoresby at school?

(vi) Bring out the difference between an average man and a scientist.

(vii) Explain the problem that Russell says is stark, dreadful and inescapable?

[3+3+3+3+3+3+4]

PART-B

2.(a) “A writer ought to be a good reader in order to be a good writer”. Elaborate Hill’s views.

(b) Give an account of achievements of Gopinath.

[8+8]

3.(a) Write about the universe as described by James Jeans.

(b) What are the circumstances under which super computer, generations & C-DAC started in

India.

[8+8]

4.(a) Describe the clergyman’s character.

(b) Why was Naidu called the ‘Edison of India’?

[8+8]

5.(a) Write a summary of the essay ‘The Sceintific Point of View’.

(b) ”We should make way for the youngsters instead of expecting them to come around to

our ways”. Do you agree with Sudha Murthy’s statement? Give reasons.

[8+8]

6.(a) What are the different phases of transformation in Gandhiji is life of London?

(b) Write an essay on ‘Gender Discrimination’.

[8+8]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


7.(a) Write the Synonyms for the following words.

(i) emulate

(ii) infatuation

(iii) disbursed

(iv) consent

(b) Write the Antonyms for the following words.

(i) abstract

(ii) impartial

(iii) natural

(iv) elaborate

(c) Fill in the blanks with suitable Prepositions.

(i) Kiran lives ------------ 35 James street

(ii) He goes to his office ---------- bus.

(iii) They are angry ---------------- you

(iv) I saw him ------------------ Sunday

(d) Correct and rewriter the following sentences.

(i) Every boy and every girl have to participate in the competition.

(ii) The property was shared among the two brothers.

(iii) I am reading a interesting story.

(iv) The boy was playing while it is raining.

[4+4+4+4]

Page 2 of 2

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) What does Russell want the public to realize the facts about hydrogen bombs?

(ii) What are the biological effects of American civil war on the negro population? What are

the causes for it according to Haldane?

(iii) How should a writer improve vocabulary?

(iv) How did the world change during the last century according to Dr.Kalam?

(v) Why did the clergyman join Scoresby in the war?

(vi) What is the message of the fable that Gandhi referred?

(vii) How does the author describe the future of humanity in the lesson ‘The Dying Sun’?

[3+3+3+3+3+3+4]

PART-B

2.(a) Comment on L.A.Hills views on “The Principles of Good Writing”.

(b) How did Gopinath influence the airline industry?

[8+8]

3.(a) What are the two accidents described by James Jeans? Describe them.

(b) Mention Sudha Murthy’s achievements.

[8+8]

4.(a) Describe the participation of Scoresby in the war.

(b) What was Naidu’s relationship with agriculture?

[8+8]

5.(a) How does science affect the opinions of an average man? Explain the views of Haldane.

(b) What does India need to do to stay ahead in the global supercomputer race according to

Dr.Bhatkar?

[8+8]

6.(a) ”But hence forward I became a student” What does Gandhi mean by saying so?

(b) Write an essay on ‘Misuse of Technology’.

[8+8]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|



(i) genuine

(ii) endangered

(iii) frequent

(iv) prolonged


(i) wild

(ii) mortal

(iii) truce

(iv) unsurpassed


(i) He always argues ----------- the teacher.

(ii) The college is open ---------------9 A.m. to 5 P.M.

(iii) She is thirsty ------------------- knowledge.

(iv) They visited us ------------June.


(i) I was at time for the presentation.

(ii) He returned back from Germany last year.

(iii) I am hearing the music.

(iv) He is a honorable man.

[4+4+4+4]

Page 2 of 2

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) What are the areas that can help India change into a knowledge society?

(ii) How is that a scientist is a curious mixture of pride and humility according to Haldane.

(iii) How does James Jeans describe the vastness of the universe?

(iv) Describe what Russell wants the Neutrals to do?

(v) How did the clergyman feel when Scoresby was elected as the captain of marching

regiment ?

(vi) What efforts did Gandhi make to adapt himself to London lifestyle?

(vii) Where can an author get the topics to write according to L.A.Hill?

[3+3+3+3+3+3+4]

PART-B

2.(a) What does a common man think about science? How does it differ from Haldane’s

opinion?

(b) What was the defining moment of Naidu’s life?

[8+8]

3.(a) Why does James Jeans say that the sun is dying? How can physical science help us in such

a situation?

(b) How did Dr.Bhatkar help develop IT field in India?

[8+8]

4.(a) “A writer should be a good reader and a keen observer”-Do you agree with L.A.Hills

views? Give reasons.

(b) What were the different fields Gopinath entered into?

[8+8]

5.(a) Describe any of the blunders that you or any one you know has made, which actually

helped the situation instead of spoiling it.

(b) How was Infosys started? How did it change Sudha Murthy’s life?

[8+8]

6.(a) What problems are involved in making Abdul Kalam’s dream come to reality?

(b) Write an essay on ‘The Role of Media in Education’.

[8+8]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|



(i) eliminate

(ii) astonishment

(iii) peasant

(iv) swear


(i) rare

(ii) depart

(iii) natural

(iv) vivid


(i) He is not responsible ---------------- this.

(ii) I have been living here ------------------ 1986.

(iii) The boy travels ----------- bus

(iv) The principal congratulated the team ------------ their success.


(i) He is a honest man.

(ii) We discussed about the matter.

(iii) Each of the boys get a prize.

(iv) They enjoyed the picnic very much.

[4+4+4+4]

Page 2 of 2

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) How did the Earth come into existence according to James Jeans?

(ii) How much importance does the L.A.Hill give for inspiration to become a writer?

(iii) Why do you think Gandhi wants every youth to learn from him about saving money.

(iv) What does Haldane wants to tell us by giving the example of American Negroes.

(v) What is the problem that the Russell says is stark, dreadful and inescapable?

(vi) What and how are the blunders of Scoresby interpreted by others in the war?

(vii) What are the areas which can help India change into a knowledge super power?

[3+3+3+3+3+3+4]

PART-B

2.(a) What according to Abdul Kalam should be done to generate wealth in India?

(b) Give an account of the work done by Sudha Murthy as a philanthropist.

[8+8]

3.(a) Summarize the suggestions offered by Russell to nations as well as the general public for

the maintenance of world peace?

(b) What did Naidu do with the motor cycle after the British surveyor gifted it to him? What

were his other achievements?

[8+8]

4.(a) Write about Scoresby’s character.

(b) Give an account of the letter written by the headmaster to the ministry of defense in Delhi.

How did that letter change the life of Gopinath?

[8+8]

5.(a) What are the views expressed by Haldane about Science and its effects?

(b) What were the path breaking initiatives that Dr.Bhatkar led?

[8+8]

6.(a) Comment on Hill’s views about good writing and write about his suggestions for aspiring

writers.

(b) Write an essay on ‘Socialism’.

[8+8]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|



(i) humility

(ii) frequent

(iii) lynching

(iv) pursuit


(i) orthodox

(ii) hastily

(iii) arbitrary

(iv) vivid


(i) The house is made -----------------wood.

(ii) He apologized --------------- his behavior in the party.

(iii) This solution is not clear-----------------me

(iv) He is curious ---------many things.


(i) The price of mangoes are high.

(ii) He went to school just now.

(iii) One must love his country.

(iv) John is an university student.

[4+4+4+4]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(i) What are the causes of floods and droughts?

(ii) What are ecological pyramids? Write about different types of pyramids

(iii) Write about different values of biodiversity.

(iv) Write about Bhopal gas tragedy.

(v) What is wild life protection act?

(vi) Write about ecotourism.

[4+4+5+4+3+2]

PART-B

2.(a) Define biodiversity. Write about threats of biodiversity.

(b) Write about EIA, its significance at various stages.

[8+8]

3.(a) Why should public have awareness about Environmental protection acts?

(b) What are greenhouse gases?

(c) Write about rain water harvesting.

[6+5+5]

4.(a) What is Environmental audit? Explain.

(b) Write about Grassland ecosystem and Aquatic ecosystem

[4+12]

5.(a) Write about different types of energy resources.

(b) What is the role of an individual in conservation of natural resources.

(c) What are the hot spots of biodiversity?

[4+4+8]

6.(a) Discuss the causes and effects of global warming

(b) Distinguish between renewable and non- renewable resources

[8+8]

7.(a) Mention about different types of pollution briefly.

(b) Discuss about Environmental ethics and issues connected there on.

[6+10]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) Write about soil pollution and causes of soil degradation.

(ii) Give the salient features of a pond ecosystem

(iii) What is meant by species Biodiversity?

(iv) What are the causes of deforestation?

(v) Write the various stages of EIA.

(vi) Write a report on any Environmental issue which you have studied.

[4+4+4+3+3+4]

PART-B 2.(a) Distinguish between food chain and food web.

(b) Discuss about EMP (Environmental Management Plan)

[8+8]

3.(a) What are the three levels of biodiversity?

(b) Mention about different types of mining and effects of mining?

[8+8]

4.(a) Name different types of pollution.

(b) Give an account of energy flow in an ecosystem.

(c) Write about Environmental Waste Products and their disposal

[2+8+6]

5.(a) Write about producers, consumers and decomposers.

(b) What is the extinction of species? Describe the processes which lead to extinction of

species.

[8+8]

6.(a) Discuss the salient features of The environment protection act ,1986.

(b) Write about greenhouse gases and ozone layer.

[8+8]

7.(a) Write about role of IT in Environment and human health.

(b) What is the significance of rain water harvesting?

(c) Write about ecotourism?

[6+6+4]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) Write about structure and function of ecosystem.

(ii) Write about the sources of water pollution

(iii) Discuss about benefits of Dam construction.

(iv) Discuss the problems involved in enforcement of Environmental Legislation.

(v) Differentiate between endangered and endemic species.

(vi) Write a note on any polluted site you have visited.

[5+3+4+4+3+3]

PART-B

2.(a) Distinguish between deforestation and desertification.

(b) Write about different energy pyramids.

[8+8]

3.(a) Explain the process of succession in a newly formed pond.

(b) Give an account of crisis and conflicts over water.

[8+8]

4.(a) Name different types of air pollutants and sources of air pollution.

(b) What are the stages involved in EMP and EIS.

[8+8]

5.(a) What are the objectives of wild life protection act?

(b) What do you understand by environmental ethics?

(c) Discuss various methods of safe disposal of solid waste.

[4+4+8]

6.(a) What are the major issues and problems related to Resettlement and Rehabilitation of

displaced people.

(b) Write about significance of EIA.

(c) Write about ecotourism?

[8+4+4]

7. Write short note on

(i) Hot Spots of Biodiversity.

(ii) Man and Wildlife conflict.

(iii) Conservation of Biodiversity.

[6+5+5]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) Write about the sources of air pollution

(ii) What are in-situ and ex-situ conservation?

(iii) Explain the concept of food chain and food web.

(iv) Write about environmental audit?

(v) Discuss energy problems related to urban areas.

(vi) Discuss about conservation of water resources.

[4+5+4+3+3+3]

PART-B

2.(a) What is mining? Describe different methods of mining.

(b) Differentiate between primary succession and secondary succession.

(c) Write about Nuclear hazards.

[6+6+4]

3.(a) Distinguish between renewable and non-renewable resources.

(b) Discuss about Man induced landslides and its effects with case study.

[6+10] 4.(a) What are the sources, effects and control measures of noise pollution.

(b) What is meant by ozone layer? How CFC’S and ozone depleting substances affect ozone

layer?

[8+8]

5.(a) Why decomposers are called micro consumers?

(b) What are the various methods of safe disposal of solid waste?

(c) Write about desert ecosystem.

[4+8+4]

6.(a) What is the significance of EIA and the stages involved

(b) ‘India is a Biodiversity Nation’. Discuss

[8+8]

7. Write short note on

(i) Values of Biodiversity

(ii) Water Act and Wild life protection Act

(iii) Environmental Legislation.

[4+8+4]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(i) Find the orthogonal trajectories of the curve 1 cos . (ii) If , , , find

,,,,, given that ,,,, .

(iii) Find the Laplace transform of ! " !, 0 $ ! $ 10, ! % 1 & using Heaviside function.

(iv) Let the heat conduction in a thin metallic bar of length L is governed by the equation

'( )') , t > 0. If both ends of the bar are held at constant temperature zero and the bar

is initially has temperature f(x), find the temperature u(x,t).

(v) Solve p2 +pq = z

2.

(vi) Find *+),-+.- . [4+4+4+4+3+3]

PART- B

2.(a) Solve 2 0 11 0 1 0

(b) Find the complete solution of ′′ 2 23 2 cos 2 [8+8]

3.(a) Solve 44 2 3

(b) Find the solution of 4)4) 4 6 3 cos 2 . [8+8]

4.(a) Find the Laplace transform of ! 89:;(,89:<(( .

(b) If √>?, √@? , √@> and

@ , > 1 ? , find ,,,,. [8+8]

5.(a) Expand , 2 ln1 in powers of x and y using MacLaurin’s Series

(b) Solve ′′ 0 8 ′ 15 9!2( , 0 5 1 ′0 10 using Laplace transforms

[8+8]

6.(a) Solve F 0 G 0 .

(b) Solve the partial differential equation px+qy =1. [8+8]

7.(a) Find the partial differential equation of all spheres whose centers lie on z- axis.

(b) Find the solution of the wave equation )'() )'), if the initial deflection is

HIJ 0 $ $ K/2IJ K 0 J $ $ K & and initial velocity equal to 0. [8+8]

Page 1 of 1

Set No - 1

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*****

PART-A

1.(i) Find the complete solution of M- 16 0. (ii) If , , , find

,,,,, given that ,,,, .

(iii) Solve F G .

(iv) Find the solution, by Laplace transform method, of the integro-differential equation

′ 3 2O !1! ! (P

(v) Find the differential equation of the orthogonal trajectories for the family of parabola

through the origin and foci on y-axis.

(vi) Find the solution of wave equation in one dimension using the method of separation of

variables.

[3+3+4+4+4+4]

PART-B

2.(a) Solve 0 2 1 2 0 1 0

(b) Find the complete solution of ′′ 5 ′ 0 6 4 . [8+8]

3.(a) Solve cos x dy ysinx 0 y1 . (b) Find the solution of

4)4) 0 4 44 3 2 23 32 cos 2 . [8+8]

4.(a) Find the Laplace transform of ! O 2,' @ 1@(P .

(b) Find the shortest distance from origin to the surface 2. [8+8]

5.(a) Find ',U, if @ 2 1 > 0 ,where 1 .

(b) Solve ′′ 0 8 ′ 15 9!2(, 0 5 1 ′0 10 using Laplace transforms

[8+8]

6.(a) Form the partial differential equation by eliminating the arbitrary function

from . (b) Find the solution of VM 0 MMW 0 2MWX 0 12, where M and MW .

[8+8]

7.(a) Solve the partial differential equation F G . (b) Find the temperature in a bar of length l which is perfectly insulated laterally and whose

ends O and A are kept at 0oC, given that the initial temperature at any point P of the rod is

given by f(x).

[8+8]

Page 1 of 1

Set No - 2

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*****

PART-A

1.(i) Find the dimensions of rectangular box of maximum capacity whose surface area is S.

(ii) Find the orthogonal trajectories of the family of curves /3 /3 /3.

(iii) A generator having emf 100 volts is connected in series with a 10 ohm resistor and an

inductor of 2 henries. If the switch is closed at a time t =0, find the current at time t>0.

(iv) Find the Laplace transform of ! " !, 0 $ ! $ 10, ! % 1 & using Heaviside function.

(v) Solve pq+qx = y.

(vi) Find the solution of 2 0 3 0 by the method of separation of variables.

[4+4+4+4+3+3]

PART- B

2.(a) Solve 1 1 1 0 1 0

(b) Find the complete solution of ′′ 4 2 . [8+8]

3.(a) Solve 2x y′ y Y)Z[ , y1 2. (b) Find the solution of

4)4) 0 4 44 0 5 2 3 cos4 3. [8+8]

4.(a) Find the Laplace transform of ! !2,( !. (b) Find the maxima and minima of 3 3 0 15 0 15 72 .

[8+8]

5.(a) Expand , 2 in powers of (x-1) and (y-1).

(b) Solve ′′ 7 ′ 10 42,3(, 0 0 1 ′0 01 using Laplace transforms.

[8+8]

6.(a) Form the partial differential equation by eliminating the arbitrary constants ‘a’ and ‘b’

from 2 );) )<).

(b) Find the solution of V4M 12MMW 9MWX 23,, where M and MW .

[8+8]

7.(a) Solve the partial differential equation F tan G tan tan . (b) A tightly stretched string with fixed end points x=0 and x=l is initially in a position given

by P3 _J . If it is released from rest from this position, find the displacement

, !. [8+8]

Page 1 of 1

Set No - 3

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*****

PART-A

1.(i) Find the distance from the centre at which the velocity in simple harmonic motion

will be 1/3rd of the maximum.

(ii) Find a point with in a triangle such that the sum of the squares of its distances from the

three vertices is minimum.

(iii) Find the solution, by Laplace transform method, of the integro-differential

equation ′ 4 O !1! (P , 0 0. (iv) Uranium disintegrates at a rate proportional to the amount present at that time. If M and N

grams of Uranium that rae present at times T1 and T2 respectively, find the half life of

Uranium.

(v) Find the complete solution of M3 0 3M 2 MW 3 MMW 2 0 M`3 0.

(vi) Solve 1 F G. [4+4+4+4+3+3]

PART- B

2.(a) Solve 3 4 0 1 21 0

(b) Find the solution of 4)4) 5 44 0 6 4 .

[8+8]

3.(a) Find the complete solution of " 2 23 2 cos 2 .

(b) Solve x z′ zlogz zlogz. [8+8]

4.(a) Find the Laplace transform of ! !2( 2!. (b) If @ ,* [.[√ .√, prove that @ @ d tan @.

[8+8]

5.(a) If ? 0 0 0 , find the value of e e e .

(b) Solve ′′ 2 ′ 5 2,( sin ! , 0 0 1 ′0 1 using Laplace transforms.

[8+8]

6.(a) Form the partial differential equation by eliminating the arbitrary constants ‘a’ and ‘b’

from f f. (b) Using method of separation of variables, solve @( 2,( with @ , 0 @0, ! 0.

[8+8]

7.(a) Find the temperature in a thin metal rod of length L, with both ends insulated and with

initial temperature in the rod is _g . (b) Solve the partial differential equation F x qy z.

[8+8]

Page 1 of 1

Set No - 4

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MATHEMATICS-II (MATHEMATICAL METHODS) (Common to ECE, EEE, EIE, Bio-Tech, EComE, Agri.E)




*****

PART-A

1.(i) Write the sufficient condition for the convergence of Newton-Raphson method?

(ii) Show that ∆ ?

(iii) Write the merits and demerits of Euler Modified method?

(iv) Write the Dirichlet’s conditions of f(x)?

(v) State Initial and Final value theorems of Z-transforms?

(vi) Write the statement of Fourier integral theorem?

[3+4+4+3+4+4]

PART- B

2.(a) Using Runge-Kutta method of fourth order solve

′ , 1 2 1.2 0.2. (b) Find the Fourier transform of

[8+8]

3. For the following data estimate f (1.720) using forward, f (2.68) using backward and

f (2.36) using central difference formula.

x 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0

f(x) 0.0495 0.0605 0.0739 0.0903 0.1102 0.1346 0.1644 0.2009

[16]

4.(a) Solve the differential equation subject to 0 1 by Picard’s method

and hence find 0.2.

(b) Using Regula Falsi method find a real root of 2 1 0 correct upto

two decimal places.

[8+8]

5.(a) Find the Fourier series for 2 ! " 0, 2 , hence show that

# !

# $# !

%# … '#

(b) Find the inverse Z transform of $(#)(

((

[8+8]

Page 1 of 2

Set No - 1

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6.(a) Find the Fourier transform of *1 ! , | | , 10 , | | - 1 .

(b) Find a real root of log ! 2 using Newton-Raphson method.

[8+8]

7.(a) Find Z-transform of " 2" 3 sin 3" 5

(b) Find the half range Fourier sine series for " 0, 9?

[8+8]

Page 2 of 2

Set No - 1

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*****

PART-A

1.(i) State Intermediate Value theorem?

(ii) Show that∆:; log 2 ?

(iii) Write the second order Runge-Kutta formula?

(iv) Give any one application of Fourer Series with example?

(v) State the convolution theorem of inverse Z-transforms?

(vi) Write the formulas Fourier cosine and sine transform?

[4+3+4+3+4+4]

PART- B

2.(a) Using modified Euler’s method to find the value of y at x = 0.2 with h = 0.1 where

′ 1 ! , 0 0

(b) Find the Fourier transform of *0, | | , 1, | | - .

[8+8]

3.(a) Prove the relation ∑ ∆= > ∆= ! ∆?=@?

(b) Use Lagrange’s interpolation formula to calculate f(3) from the following table.

x 0 1 2 4 5 6

f(x) 1 14 15 5 6 19

[4+12]

4.(a) Solve the differential equation =x

2y subject to y(0) =1 by Taylor series method

and hence find y(0.1), y(0.2).

(b) Using bisection method find a root of ! cos 0.

[8+8]

5.(a) Obtain the Fourier series for | | " B!9, 9C, hence show that

#

$# # D '#

E

(b) Solve F) 4F) 3F 3 F? 0; F 1 using Z transforms

[8+8]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|


6.(a) Using Fourier integral, prove that :; ;' I JKL ;

;#)M# NO, - 0, - 0∞

?

(b) Find a real root of PQ? 1.2 using Newton-Raphson method.

[8+8]

7.(a) Find the Z transform of cos" 1R sin '

(b) Obtain the Fourier series for spectrum of a periodic function with example?

[8+8]

Page 2 of 2

Set No - 2

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*****

PART-A

1.(i) Write the sufficient condition for the convergence of Newton-Raphson method?

(ii) Show that ∆ ?

(iii) Write the advantages & disadvantages of Taylor series method?

(iv) Write the Fourier series when the given function f(x) is an even?

(v) Write the properties of multiplication by n and division by n of Z-transforms?

(vi) Write the complex form of Fourier integral theorem?

[3+3+4+4+4+4]

PART- B

2.(a) Using iteration method find a real root of ! 3 1 correct upto three

decimal places starting with x=1.

(b) Solve F) ! 2F) F 3" 5 using Z-Transforms?

[8+8]

3.(a) Evaluate ∆:; log 2

(b) By using Lagrange’s interpolation formula, fit a polynomial data

x 0 1 3 4

f(x) -12 0 6 12

[4+12]

4.(a) Using modified Euler method solve numerically the equation = 2 +S with

y(1) = 1 to find y(1.2)

(b) Find f(x) if its Fourier sine transform is 21 s

s

+ [8+8]

5.(a) Obtain the Fourier series for 9 ! " 0 , , 29, hence deduce that

#

# $# D '#

T

(b) Using convolution theorem, evaluate UB (#(#%()$C

[8+8]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


6.(a) Using Parseval’s identities, prove that )(2))(( 2222

0 baabtbta

dt

+

=

++

∫∞

π

(b) Using Runge-Kutta method of third order, find the values of

PV 0.1, 0.2 where ′ ! 2, 0 1.

[8+8]

7.(a) Find the half range sine series for 9 ! " 0, 9

(b) Find a real root of $ ! 19 correct upto three decimal places using Newton-

Raphson method

[8+8]

Page 2 of 2

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) Show that ∆ ?

(ii) Write the merits and demerits of Iteration method?

(iii) Write the merits and demerits of Euler Modified method?

(iv) Write the Dirichlet’s conditions of f(x)?

(v) State convolution theorem of Z-transforms?

(vi) Write the statement of Fourier integral theorem?

[3+4+4+3+4+4]

PART- B

2.(a) Find the Fourier sine and cosine transforms of )..5.2( 25 xx ee −−

+

(b) Given

≤≤+

≤≤−−=

π

π

xx

xxxf

0,1

0,1)(

Is the function even or odd? Find the Fourier series for f(x).

[8+8]

3.(a) Prove the relation between E and D?

(b) For the following data estimate K (0.25) using backward difference formula.

m 0.20 0.22 0.24 0.26 0.28 0.30

K(m) 1.659624 1.669850 1.680373 1.691208 1.702374 1.713889

[4+12]

4.(a) Solve the differential equation = 1+ xy subject to y(0) = 1 by Taylor series method

and hence find y(0.2).

(b) Solve the difference equation yn+2+3yn+1+2yn = 0, y0 = 1, y1 = 2 by z – transform.

[8+8]

5.(a) Find the Fourier series of ππ <<−+= xxxxf ,)( 2 and hence deduce the series

12.......

3

1

2

1

1

1 2

222

π=−+−

(b) Apply Runge - Kutta Method to find y(0.1) and y(0.2) where = x

2 - y and y(0) = 1.

[8+8]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


6.(a) Find the Fourier transform of x

e−

(b) Using Regula Falsi method find a real root of 2 1 0 correct upto

two decimal places.

[8+8]

7.(a) Find )!n

1(z and hence evaluate

+

+ )!2n(

1zand

)!1n(

1z

(b) Find a real root of log ! 2 using Newton-Raphson method.

[8+8]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(i) Write short note on the concept of safety.

(ii) Write about human values.

(iii) Give an account of History of Ethics.

(iv) Explain the meaning of moral leadership.

(v) What are the limitations of code of ethics?

(vi) What is meant by loyalty and collegiality?

(vii) What are the social responsibilities of engineers?

[3+3+3+3+3+3+4]

PART-B

2. What is the concept of Safety? Explain the Types of Risks.

[16]

3. Write about classification of Human Values.

[16]

4. What do you understand by ‘Environmental Ethics’?

[16]

5. Write a short note on

(a) Professional Ethics

(b) Types of Inquiry.

[8+8]

6. ‘Engineering as social experimentation- comparison with standard experiments’-

Elaborate.

[16]

7.(a) What are the techniques for achieving ‘Collegiality’?

(b) Discuss the importance of Professional Ethics.

[8+8]

Page 1 of 1

Set No - 1

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*****

PART-A

1.(i) Does globalization solve the global issues?

(ii) Explain the essence of Indian spirituality.

(iii) What are the uses of ethical theories?

(iv) Write short note on ‘Industrial Standards’.

(v) What is meant by voluntary risks?

(vi) List the moral rights of a salaried Engineer.

(vii) ‘Morals, Values and Ethics are the guiding principles that prescribe the standards of

human behaviour’ Explain briefly.

[3+3+3+3+3+3+4]

PART-B 2. Suggest the steps to ensure the safety of the Engineer as well as the safety of the design

of the equipment?

[16]

3. Define –

(a) Privileged information

(b) Proprietary information

[8+8]

4. Write about


(b) Use of ethical theories

[8+8]

5. Explain Intellectual Property Rights.

[16]

6. Explain the terms: Integrity, Work ethic, Civic virtue, Character.

[16]

7. What are the functions and limitations of ‘code of ethics’?

[16]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) Write short note on the concept of safety.

(ii) Why should we learn and follow ethics?

(iii) Do you consider courage as virtue? Give your reasons.

(iv) What is meant by globalization?

(v) Define the word ‘confidentiality’.

(vi) Write a brief note on ‘Consulting Engineering’.

(vii) How does character form?

[3+3+3+3+3+3+4]

PART-B

2. Write an essay on Accountability and Responsibility of Engineers towards society.

[16]

3. Give an account of ‘Computer Ethics’ and the problems associated with the autonomous

nature of computers.

[16]

4. Explain in detail –

(a) values (b) ethics (c) value time (d) courage

[4+4+4+4]

5.(a) What were the conclusions made by ‘Gilligan’ about men and women?

(b) Mention the uses of ‘Ethical Theories’.

[8+8]

6.(a) What do you understand by ‘acceptable risk’?

(b) What is meant by ‘voluntary risk’?

[8+8]

7.(a) What is meant by ‘Whistle Blowing’?

(b) List any two limitations of ‘Whistle blowing’

[8+8]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) Define utilitarianism.

(ii) ‘Safety is a product that comes with a price’. - Explain.

(iii) Discuss the aim of ‘Engineering Ethics’.

(iv) Why should one have ‘Respect for Others’?

(v) Discuss the need to focus on ‘Professional Ethics’.

(vi) Write a short note on Industrial Standards.

(vii) Explain the meaning of Moral Leadership.

[3+3+3+3+3+3+4]

PART-B

2. Discuss the relationship between professional responsibility and individual loyalty to the

organization?

[16]

3. What are the aspects of Engineering that make it appropriate to view Engineering

projects as experiments?

[16]

4. Write briefly on

(a) Empathy

(b) Living peacefully

(c) Caring and Sharing

(d) Courage

[4+4+4+4]

5. Estimate the applicability of Intellectual Property Rights (IPR) to the Indian scenario.

[16]

6. Write short notes on

(a) History of Ethics

(b) Heinz’s Dilemma

[8+8]

7. What are types of’ Risks’? Suggest some safety measures.

[16]

Page 1 of 1

Set No - 4

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Subject Code: R13105/R13 I B. Tech I Semester Regular/Supplementary Examinations Jan./Feb. - 2015

COMPUTER PROGRAMMING (Common to CE, ME, CSE, PCE, IT, Chem E, Aero E, AME, Min E, PE, & Metal E)




*****

PART-A

1.(i) C is a structured programming language. Explain.

(ii) Discuss about nested if with example.

(iii) What are header files? Explain.

(iv) Differentiate between pointer variable and normal variable.

(v) Explain about bit fields.

(vi) Write a short notes on files.

[3+4+4+4+3+4]

PART- B

2.(a) List and Explain different types of operators in C.

(b) Write a program to find primes in the given range.

[8+8]

3.(a) Explain any two iterative statements with examples.

(b) Write a program for calculating the length of a string without using string handling

functions.

[6+10]

4.(a) What is the difference between recursive and non-recursive functions? Give their merits

and demerits.

(b) Write a recursive function for finding the factorial value of a given number.

[8+8]

5.(a) How pointers can be used for declaring of multi dimensional arrays? Discuss.

(b) Write a program to multiply two matrices using pointer.

[8+8]

6.(a) Write a short notes on unions within structures.

(b) Write a program to create a linked list.

[8+8]

7.(a) Discuss about unformatted I/O with suitable examples.

(b) Write a program to print file contents in reverse order.

[8+8]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) What is pseudo code? Explain.

(ii) Differentiate between break and exit.

(iii) Explain about block structure.

(iv) What is indirect pointer? Dicuss.

(v) What is union? Explain.

(vi) Write a program to read a text file and to print the count the no of tab characters in a

given file.

[2+4+4+4+4+4]

PART- B

2.(a) What is a datatype? Discuss about the range for different data types.

(b) Write a program to find the sum of the series: 1+22+3

2+……

[8+8]

3.(a) Differentiate between iteration and branching.

(b) Write a program to print the day of the week using switch and else-if and also give the

comparison between using of switch and else-if.

[8+8]

4.(a) What is user defined functions? Discuss with an example.

(b) Write a recursive function to find GCD value.

[8+8]

5.(a) What is copy by value and copy by address? Discuss.

(b) Write a program to illustrate passing by address example.

[8+8]

6.(a) Explain about the bitwise operators with examples.

(b) Write a program find the one’s compliment for the given number.

[8+8]

7.(a) How to read from and write to a file? Explain with examples.

(b) Write a program to find the nth

occurrence of a given word in a given file.

[8+8]

Page 1 of 1

Set No - 2

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*****

PART-A

1.(i) Explain about enum data type.

(ii) Differentiate between do-while and for loop.

(iii) Explain about C Preprocessor with an example.

(iv) What are actual and former parameters.

(v) What is left shift? How is it different from right shift?

(vi) Write a program to read a text file and to count the no of uppercase letters in a given file.

[4+4+3+4+3+4]

PART- B

2.(a) What is algorithm? Write an algorithm and flowchart for the finding the given no is

Armstrong no or not?

(b) Write a C program to calculate the total of the series: 1+(1/22)+(1/3

2)+…..

[8+8]

3.(a) Differentiate between string and array? What are the applications of an array? Discuss.

(b) Write a program to find the 4

value.

[8+8]

4.(a) Explain about call by value and call by reference mechanisms.

(b) Write a non recursive program for calculating the factorial of a number using functions.

[8+8]

5.(a) What is the importance of * and **? Explain about the initialization and declaration of

pointer variables.

(b) Write a program for illustrating the dynamic memory allocation.

[8+8]

6.(a) Explain about Structures and functions.

(b) Write a program to illustrate structures and functions.

[8+8]

7.(a) What is file? Explain about the Input and output functions of files.

(b) Write a program to illustrate file operations.

[8+8]

Page 1 of 1

Set No - 3

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*****

PART-A

1.(i) How to execute c program in linux? Explain with example.

(ii) Differentiate between do-while and while-do.

(iii) Differentiate between 1D and 2D arrays.

(iv) Explain about character pointer.

(v) Discuss about rotation.

(vi) What is binary file? Discuss

[4+4+3+4+3+4]

PART- B

2.(a) Differentiate between hardware and software.

(b) Explain about the history of the C programming language.

(c) Write a C program that illustrates the unary operators.

[4+6+6]

3.(a) What is an array? What are the disadvantages of an array? Discuss.

(b) Write a program to print the following matrix on the screen.

a b c d e

f g h i j

k l m n o

p q r s t [8+8]

4.(a) Explain about different storage classes with examples along with scope rules.

(b) Write a program to print Pascal triangle using functions. [8+8]

5.(a) Differentiate between direct and indirect pointers with examples.

(b) Write a program to illustrate pointers. [8+8]

6.(a) What is union? How to declare and initialize unions? Discuss.

(b) Write a program to find two’s compliment for the given no. [8+8]

7.(a) What are different types of operating modes of files? Explain with an example.

(b) Write a program to copy one file contents into another file in reverse order. [6+10]

Page 1 of 1

Set No - 4

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Subject Code: R13104/R13 I B. Tech I Semester Regular Examinations Jan./Feb. - 2015

ENGINEERING CHEMISTRY (Common to CE, ME, CSE, PCE, IT, Chem E, Aero E, AME, Min E, PE, and Metal E)




*****

PART-A

1. (a) Calculate the amount of lime (82% pure) and soda (91% pure) for treatment of 60, 000

litres of water, whose analysis is as follows: Ca(HCO3)2 = 40 ppm, Mg(HCO3)2 = 30 ppm,

MgSO4 = 10 ppm, CaSO4 = 40 ppm, CaCl2 = 25 ppm, NaCl = 8 ppm and also calculate

carbonate and non carbonate hardness of water sample.

(b) Discuss the properties of liquid crystals.

(c) Write notes on (i) Ni-Cd battery (ii) Sacrificial anodic protection

(iii) Atactic and syndiotactic polymers (iv) CNG

[7+3+12]

PART –B

2. (a) Explain permutit process for removal of hardness of water.

(b) Explain the mechanism of anionic polymerization with a suitable example.

(c) Discuss the constituents of paints and their functions.

[6+5+5]

3. (a) Discuss the construction and working of fuel cells.

(b) Discuss proximate analysis of coal.

(c) Write notes on breakpoint chlorination.

[6+5+5]

4. (a) Describe dry theory of corrosion.

(b) Explain with a neat sketch arc discharge method involved in synthesis of carbon

nanoparticles.

(c) Write notes on single electrode potential.

[6+5+5]

5. (a) Write notes on compounding of rubber.

(b) Define Kohlrausch law and discuss its applications.

(c) A gas has the following composition by volume: H2 = 28%, CH4 = 13%, N2 = 42%, O2 =

17%. If 20% excess air is used, find the weight of air actually supplied per m3 of this gas.

[6+5+5]

6. (a) Explain with a neat sketch moving bed catalytic cracking method to produce gasoline.

(b) Differentiate between anodic and cathodic coatings.

(c) Write notes on biodegradable polymers.

[6+5+5]

7. (a) Discuss the reactions occurring during setting and hardening of cement.

(b) How is water purified for drinking purposes by municipalities?

(c) Discuss the preparation, properties and uses of PVC.

[6+5+5]

Page 1 of 1

Set No - 1

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*****

PART-A

1. (a) Explain the effect of CO2 and SO2 on cement concrete.

(b) A gaseous fuel has the following composition by volume: H2 = 28%, CH4 = 32%, ethane

13%, O2 = 7%, N2 = 15% and butane = 5%. Find out the analysis of dry products of

combustion using 30 % excess air.

(c) Describe the principle of EDTA method in determination of hardness of water.

(d) Write notes on

(i) Specific and molar conductance (ii) stereo regular polymers

(iii) Impressed current cathodic protection [4+6+3+9]

PART -B

2.(a) Discuss the various reactions occurring in lime soda process.

(b) With a neat sketch discuss compression moulding technique used for fabrication of plastics.

(c) Write notes on cladding and electroplating of metal.

[6+5+5]

3.(a) Explain the construction and working of lead acid battery.

(b) Discuss refining of petroleum.

(c) Explain scale and sludge formation in boilers. How are they removed?

[6+5+5]

4.(a) Describe wet theory of corrosion.

(b) Discuss the types of liquid crystals.

(c) The equivalent conductance of 0.01 N acetic acid is 17.30 ohm-1

cm2eq

-1. The ionic

conductance of H+ and CH3COO

- ions at infinite dilution are 278 and 87 ohm

-1cm

2eq

-1

respectively. What percentage of acetic acid dissociates at this concentration.

[6+5+5]

5.(a) Discuss the preparation, properties and uses of BUNA-S.

(b) Explain with an example concentration cells.

(c) Write notes on petrol knocking and diesel knocking.

[6+5+5]

6.(a) Explain analysis of carbon and sulphur present in coal.

(b) Explain differential aeration corrosion.

(c) Explain phase transfer method in green synthesis.

[6+5+5]

7.(a) Write notes on doped conducting polymers.

(b) What are the advantages and limitations of softening of water by ion-exchange process

compared to other methods?

(c) Write notes on mechanical properties of polymers.

[6+5+5]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1. (a) Explain supercritical fluid extraction method in green synthesis.

(b) A sample of coal was found to contain the following C = 80%, H = 7%; O = 3%, N = 5%

remaining being ash. (i) Calculate the amount of minimum air required for complete

combustion of kg of coal sample. (ii) If 30% excess air is supplied, estimate the %

composition of dry products of combustion.

(c) Discuss the chemical reactions occurring during charging and discharging of lead acid

storage battery.

(d) Write notes on (i) priming and foaming (ii) physical properties of polymers

[4+7+5+6]

PART –B

2. (a) Discuss demineralization process of softening of water.

(b) With a neat sketch discuss injection moulding technique used for fabrication of plastics.

(c) Write notes on galvanic series and passivity.

[6+5+5]

3. (a) What are primary and secondary batteries. Explain the construction and working of dry

battery cell.

(b) Explain the construction of Orsat apparatus for the estimation of flue gases.

(c) Discuss electrodialysis with a neat sketch diagram.

[6+5+5]

4. (a) Explain the factors affecting the rate of corrosion.

(b) Discuss green house effect.

(c) What is the emf of the following cell at 250C, Zn (s)/ Zn

2+ (0.1 M) // Ag

+ (0.002M)/Ag(s).

The standard emf of the cell is 1.54V

[6+5+5]

5.(a) Discuss the preparation, properties and uses of Bakelite.

(b) Discuss the working of the glass electrode.

(c) Write notes on octane and cetane number.

[6+5+5]

6. (a) Describe with a neat sketch fixed bed catalytic cracking method to produce petrol.

(b) Differentiate between galvanizing and tinning.

(c) With a help of neat figure explain the working of photovoltaic cells.

[6+5+5]

7. (a) Write notes on fiber reinforced plastics.

(b) Describe a method of desalination of brackish water.

(c) Write notes on free radical mechanism of addition polymerization.

[6+5+5]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(a) Calculate the volume of air required for complete combustion of 1 m3 of gaseous fuel

having the following composition : CO = 40, CH4 = 15%, H2 = 35 %, C2H2 = 3%, N2 = 1 %

and remaining is CO2.

(b) How is rubber vulcanized? What are its advantages?

(c) Write notes on (i) ion selective fluoride electrode (ii) alkaline batteries

(d) Discuss (i) types of carbon nanotubes (ii) requirements of potable water

[5+3+6+8]

PART –B

2. (a) Discuss the various types of boiler troubles. How can they be minimized?

(b) With a neat sketch discuss extrussion moulding technique used for fabrication of plastics.

(c) Discuss Pilling Bed worth rule.

[6+5+5]

3. (a) Write notes on conductometric titrations.

(b) Calculate the lime and soda required per litre for the chemical treatment of water

containing Ca2+

= 82 ppm, Mg2+

= 30 ppm, K+ = 40 ppm, HCO3

- = 200 ppm; FeSO4.7H2O

= 62 ppm.

(c) Write notes on antiknocking agents and thermal cracking of gasoline.

[6+5+5]

4. (a) Explain the electroless plating and electroplating of metals.

(b) Write short notes on solar reflectors and solar dishes.

(c) Define specific conductivity, equivalent conductivity. Explain how these are affected by

dilution.

[6+5+5]

5. (a) Discuss the preparation, properties and uses of Thiokol.

(b) Discuss concentration cells.

(c) What are the advantages and disadvantages of liquid fuels.

[6+5+5]

6. (a) Write a short note on Orsat method of flue gas analysis and its significance.

(b) How could proper design and selection of material inhibit corrosion?

(c) Explain the properties of fullerenes.

[6+5+5]

7. (a) Explain aqueous phase method in green synthesis.

(b) Describe zeolite process of softening of hard water.

(c) Write notes on stereo specific polymers.

[6+5+5]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(a) Draw the Isometric view of fig.1:

Fig.1

(b) Draw the projections of a circle of 50mm diameter resting in the HP on a point A on the

circumference, its plane inclined at 450 to the HP and (i) the top view of the diameter AB

making 300 angle with the VP (ii) the diameter AB making 30

0 angle with the VP.

[14+8]

PART-B

2.(a) Construct a regular pentagon of 30 mm side.

(b) The area of a field is 50,000 sq. m. The length and the breadth of the field, on the map are

10 cm and 8 cm respectively. Construct a diagonal scale which can read up to 1 m. Mark

the length of 235 m on the scale. What is the RF of the scale?

[8+8]

3.(a) The front view of a line, inclined at 300 to the VP is 65mm long. Draw the projections of

the line, when it is parallel to and 40 mm above the HP, its one end being 30 mm in front

of the VP.

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


3.(b) Draw the projections of a straight line AB of 60mm long, in the following positions:

(i) Perpendicular to HP and in VP and one end on HP

(ii) Parallel to and 30 mm in front of VP and on HP

(iii) Inclined at 300 to VP, in HP and one end on VP

4. Two oranges on a tree are respectively 1.8 m and 3 m above the ground and, 1.2 m and

2.1 m from a 0.3 m thick wall, but on the opposite sides of it. The distance between the

oranges, measured along the ground and

distance between the oranges.

5. Draw the projections of a regular pentagonal of 40 mm side, having its surface inclined at

300

to the HP and a side parallel to the HP and inclined at an angle of 60

6. Draw the projections of a pentagonal prism, base 25 mm side and axis 50 mm long,

resting on one of its rectangular faces on the ground with the axis inclined at 45

VP.

7. Draw fig.2 (i) Front View


Draw the projections of a straight line AB of 60mm long, in the following positions:

Perpendicular to HP and in VP and one end on HP

Parallel to and 30 mm in front of VP and on HP

to VP, in HP and one end on VP

Two oranges on a tree are respectively 1.8 m and 3 m above the ground and, 1.2 m and


oranges, measured along the ground and parallel to the wall is 2.7 m. Determine the real

distance between the oranges.

Draw the projections of a regular pentagonal of 40 mm side, having its surface inclined at

to the HP and a side parallel to the HP and inclined at an angle of 600

Draw the projections of a pentagonal prism, base 25 mm side and axis 50 mm long,

resting on one of its rectangular faces on the ground with the axis inclined at 45

i) Front View (ii) Top View (iii) Side View from the right

Fig.2

Page 2 of 2

Draw the projections of a straight line AB of 60mm long, in the following positions:

[8+8]

Two oranges on a tree are respectively 1.8 m and 3 m above the ground and, 1.2 m and


parallel to the wall is 2.7 m. Determine the real

[16]

Draw the projections of a regular pentagonal of 40 mm side, having its surface inclined at 0 to the VP.

[16]

Draw the projections of a pentagonal prism, base 25 mm side and axis 50 mm long,

resting on one of its rectangular faces on the ground with the axis inclined at 450 to the

[16]

from the right

[16]

Set No - 1

||''''|||''|'''||''|


I B. Tech I Semester Regular





1.(a) Draw fig.1 (i) Front View

(b) A plate having shape of an isosceles triangle has base 50 mm long and altitude 70 mm. It

is so placed that in the front view it is seen as an equilateral triangle of

one side inclined at 450 to xy. Draw its top view.

2.(a) The major axis of an ellipse is 150 mm long and the minor axis is 100 mm long. Find the

foci and draw the ellipse by arcs of circle method. Draw a tangent to the ellips

on it 25 mm above the major axis.

Subject Code: R13109/R13 I B. Tech I Semester Regular/Supplementary Examinations Jan./Feb.





*****

PART-A

i) Front View (ii) Top View (iii) Side View

Fig.1

A plate having shape of an isosceles triangle has base 50 mm long and altitude 70 mm. It

is so placed that in the front view it is seen as an equilateral triangle of 50 mm sides and

to xy. Draw its top view.

PART-B

The major axis of an ellipse is 150 mm long and the minor axis is 100 mm long. Find the

foci and draw the ellipse by arcs of circle method. Draw a tangent to the ellips

on it 25 mm above the major axis.

Page 1 of 2

Examinations Jan./Feb. - 2015


A plate having shape of an isosceles triangle has base 50 mm long and altitude 70 mm. It

50 mm sides and

[14+8]

The major axis of an ellipse is 150 mm long and the minor axis is 100 mm long. Find the

foci and draw the ellipse by arcs of circle method. Draw a tangent to the ellipse at a point

Set No - 2

||''''|||''|'''||''|


2.(b) Draw a Vernier scale of RF=1/25 to read centimeters up to 4metres and on it, shown


3.(a) A point P is 20 mm below HP and lies in the third quadrant. Its shortest distance from xy


(b) A line AB which is perpendicular to HP and 80mm long has its end B, 20mm below HP

and 30mm in front of VP. Another line AC, whic

and VP. The midpoint D of the line AC is joined to B. Draw the projections and

determine the inclination of the line BD with HP.

4. A line AB, inclined at 40

length of its front view is 65 mm and its VT is 10 mm above the HP. Determine the true

length of AB, its inclination with the HP and its HT.

5. An hexagonal lamina of 20 mm side rests on one of its corners on HP. The diagonal

passing through this corner is inclined at 45

900 such that the top view of this diagonal is perpendicular to VP and the surface is still

inclined at 450 to HP. Draw the projections of the lamina.

6. A tetrahedron of 40 mm side rests with one of its edges on HP and perpendicular to VP.

The triangular face containing that edge is inclined at 30

7. Draw the Isometric view


Draw a Vernier scale of RF=1/25 to read centimeters up to 4metres and on it, shown


A point P is 20 mm below HP and lies in the third quadrant. Its shortest distance from xy


A line AB which is perpendicular to HP and 80mm long has its end B, 20mm below HP

and 30mm in front of VP. Another line AC, which is 60mm long, is parallel to both HP


determine the inclination of the line BD with HP.

A line AB, inclined at 400 to the VP, has its ends 50 mm and 20 mm above the


length of AB, its inclination with the HP and its HT.

hexagonal lamina of 20 mm side rests on one of its corners on HP. The diagonal

this corner is inclined at 450 to HP. The lamina is then rotated through

such that the top view of this diagonal is perpendicular to VP and the surface is still

to HP. Draw the projections of the lamina.

side rests with one of its edges on HP and perpendicular to VP.

The triangular face containing that edge is inclined at 300 to HP. Draw its projections.

fig.2:

Fig.2

Page 2 of 2

Draw a Vernier scale of RF=1/25 to read centimeters up to 4metres and on it, shown

[8+8]

A point P is 20 mm below HP and lies in the third quadrant. Its shortest distance from xy

A line AB which is perpendicular to HP and 80mm long has its end B, 20mm below HP

h is 60mm long, is parallel to both HP


[8+8]

to the VP, has its ends 50 mm and 20 mm above the HP. The


[16]

hexagonal lamina of 20 mm side rests on one of its corners on HP. The diagonal

to HP. The lamina is then rotated through

such that the top view of this diagonal is perpendicular to VP and the surface is still

[16]

side rests with one of its edges on HP and perpendicular to VP.

to HP. Draw its projections.

[16]

[16]

Set No - 2

||''''|||''|'''||''|







1.(a) Draw the Isometric view

(b) A thin 30-600 set square has its longest edge in VP and inclined at 30

makes 450 with VP. Draw its projections.

2.(a) An underpass of a flyover has a size of 270 m × 10 m × 10 m. It is represented on a

model by a volume of 8 cu.cm. What is the R.F? Construct a diagonal scale to read up to

300 m. Mark the distances 199 m and 8 m on the scale.

(b) Construct an ellipse when


3.(a) Two pegs fixed on a wall are 4.5 m apart. The distance between the pegs measured

parallel to the floor is 3.6 m. If one peg is 1.5 m

second peg and the inclination of the line joining the two pegs, with the floor.

(b) A point P is 50 mm from both the reference planes. Draw its projections in all possible

positions.






*****

PART-A

assuming suitable data: fig.1

Fig.1

set square has its longest edge in VP and inclined at 300 to HP. Its surface

with VP. Draw its projections.

PART-B

An underpass of a flyover has a size of 270 m × 10 m × 10 m. It is represented on a


300 m. Mark the distances 199 m and 8 m on the scale.

Construct an ellipse when the major axis is 120 mm and the distance between the foci is


Two pegs fixed on a wall are 4.5 m apart. The distance between the pegs measured

parallel to the floor is 3.6 m. If one peg is 1.5 m above the floor, find the height of the


A point P is 50 mm from both the reference planes. Draw its projections in all possible

Page 1 of 2



to HP. Its surface

[14+8]

An underpass of a flyover has a size of 270 m × 10 m × 10 m. It is represented on a


the major axis is 120 mm and the distance between the foci is

[8+8]

Two pegs fixed on a wall are 4.5 m apart. The distance between the pegs measured

above the floor, find the height of the


A point P is 50 mm from both the reference planes. Draw its projections in all possible

[8+8]

Set No - 3

||''''|||''|'''||''|


4. The guy ropes of two poles 12 m apart, are attached to a point 15 m above the ground on

the corner of a building. The points of attachment on the poles are 7.5 m and 4.5 m above

the ground and the ropes make 45

projections and find the distance of the poles from the building and the lengths of the guy

ropes.

5. Draw the projections of a circle of 75 mm diameter having the end A of the diameter AB

in the HP, the end B in the VP, and the surface inclined at 30

VP.

6. Draw the projection of a cone, base 75mm diameter and axis 100 mm long and lying on

the ground on one of its generators with the axis parallel to the VP.

7. Draw fig.2 (i) Front View (


The guy ropes of two poles 12 m apart, are attached to a point 15 m above the ground on


the ground and the ropes make 450 and 30

0 respectively with the ground. Draw the


Draw the projections of a circle of 75 mm diameter having the end A of the diameter AB

in the VP, and the surface inclined at 300 to the HP and at 60

Draw the projection of a cone, base 75mm diameter and axis 100 mm long and lying on

the ground on one of its generators with the axis parallel to the VP.

i) Front View (ii) Top View (iii) Side View

Fig.2

Page 2 of 2

The guy ropes of two poles 12 m apart, are attached to a point 15 m above the ground on


respectively with the ground. Draw the


[16]

Draw the projections of a circle of 75 mm diameter having the end A of the diameter AB

to the HP and at 600 to the

[16]

Draw the projection of a cone, base 75mm diameter and axis 100 mm long and lying on

[16]

[16]

Set No - 3

||''''|||''|'''||''|







1.(a) Draw fig.1 (i) Front View

(b) A thin circular metal plate of 54mm diameter has a square hole of 27 mm side, cut

centrally through it. Draw its projections when the plate is resting on HP with

inclined at 300 to HP and an edge of the square hole perpendicular to VP.

2.(a) A plot of a ground is in the shape of a rectangle 110 m × 50 m. Inscribe an elliptical lawn

in it. Take a suitable scale.

(b) Construct a diagonal scale of RF= 1: 32,00,000 to show kilometers and long enough to

measure upto 400 kilometers. Show distance of 257 km and 333 km on your scale.

3.(a) A point A is situated in the first quadrant. Its shortest distance from the intersection point

of HP, VP and auxiliary plane is 60 mm and it is equidistant from the principal planes.

Draw the projections of the points and determine its distance from the principal planes.






*****

PART-A

i) Front View (ii) Top View (iii) Both Side Views

Fig.1

A thin circular metal plate of 54mm diameter has a square hole of 27 mm side, cut

centrally through it. Draw its projections when the plate is resting on HP with

to HP and an edge of the square hole perpendicular to VP.

PART-B

A plot of a ground is in the shape of a rectangle 110 m × 50 m. Inscribe an elliptical lawn

in it. Take a suitable scale.

scale of RF= 1: 32,00,000 to show kilometers and long enough to


A point A is situated in the first quadrant. Its shortest distance from the intersection point

, VP and auxiliary plane is 60 mm and it is equidistant from the principal planes.


Page 1 of 2



A thin circular metal plate of 54mm diameter has a square hole of 27 mm side, cut

centrally through it. Draw its projections when the plate is resting on HP with its surface

to HP and an edge of the square hole perpendicular to VP.

[14+8]

A plot of a ground is in the shape of a rectangle 110 m × 50 m. Inscribe an elliptical lawn

scale of RF= 1: 32,00,000 to show kilometers and long enough to


[8+8]

A point A is situated in the first quadrant. Its shortest distance from the intersection point

, VP and auxiliary plane is 60 mm and it is equidistant from the principal planes.


Set No - 4

||''''|||''|'''||''|


3.(b) The length of the top view of a line parallel to the VP and inclined at 450 to the HP is 5

cm. One end of the line is 1.2 cm above the HP and 2.5 cm in front of the VP. Draw the

projections of the line and determine its true length.

[8+8]

4. The projectors of the ends of a line AB are 5 cm apart. The end A is 2 cm above the HP

and 3 cm in front of the VP. The end B is 1 cm below the HP and 4 cm behind the VP.

Determine the true length and traces of AB, and its inclinations with the two planes.

[16]

5. A circular plate of negligible thickness and 50 mm diameter appears as an ellipse in the

front view, having its major axis 50 mm long and minor axis 30 mm long. Draw its top

view when the major axis of the ellipse is horizontal.

[16]

6. An hexagonal prism, side of base 25 mm and axis 50 mm long rests with one of its base

corners on HP such that its base makes an angle of 600 to HP and its axis is parallel to

VP. Draw its projections.

[16]

7. Draw the Isometric view fig.2:

Fig.2

[16]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|



ENGINEERING MECHANICS(Common to CE, ME, CSE,




1.(i) What is the principle of transmissibility?

(ii) State triangular law of forces. What is the use of this law?

(iii) Locate the centroid of a semicircle of radius r.

(iv) Find the mass moment of inertia of a slender rod.

(v) State D‘Alembert principle giving equations.

(vi) Explain the concept of work? What are the units of work?

2.(a) Two smooth circular cylinders, each of weight W= 1000N and radius 15cm,

connected at their centres

supporting above them a third cylinder of weight 2000N and radius 15cm as shown in

fig1. Find the force in string AB and the pressure produced on the floor at the points of

contact D and E.

/R13 I B. Tech I Semester Regular Examinations Jan./Feb. –

ENGINEERING MECHANICS CSE, PCE, IT, Chem E, Aero E, AME, Min E, PE,




*****

PART-A

What is the principle of transmissibility?

triangular law of forces. What is the use of this law?

a semicircle of radius r.

moment of inertia of a slender rod.

principle giving equations.

ork? What are the units of work?

PART –B

Two smooth circular cylinders, each of weight W= 1000N and radius 15cm,

connected at their centres by a string AB of length 40cm and rest upon a horizontal plane,


Find the force in string AB and the pressure produced on the floor at the points of

Fig: 1

Page 1 of 3

2015

Metal E)


[3+4+4+5+3+3]

Two smooth circular cylinders, each of weight W= 1000N and radius 15cm, are

by a string AB of length 40cm and rest upon a horizontal plane,


Find the force in string AB and the pressure produced on the floor at the points of

Set No - 1

||''''|||''|'''||''|

Subject Code: R13110/R13 2.(b) State and prove the parallel axis theorem.

[8+8]

3.(a) A small block of unknown weight is placed on an inclined plane which makes an angle of

300 with the horizontal plane. The component of this weight parallel to the inclined plane

is 100N. Find the weight of the block.

(b) Find the area moment of inertia about the centroidal axes for a given area shown in the

fig 2.

Fig.2

[5+11]

4.(a) A tower is 100m in height. A particle is dropped from the top of the tower and at the

same time another particle is projected upward from the foot of the tower. Both the

particles meet at height of 40m. Find the velocity with which the second particle is

projected upward.

(b) What do you understand by Potential Energy and Kinetic Energy of a body?

[8+8]

5.(a) The four coplanar forces are acting at a point as shown in the fig.3. One of the forces is

unknown and its magnitude is shown by P. The resultant is having a magnitude of 500N

and acting along x-axis Determine the unknown force P and its inclination with x-axis.

Fig.3

Page 2 of 3

Set No - 1

||''''|||''|'''||''|


5.(b) A body weighing 196.2N slides up a 60

400N acting parallel to the inclined plane. The coefficient of friction is equal to 0.2.

body moves from rest. Determine

(i) Acceleration of the body

(ii) Distance travelled by the body in 5 seconds

(iii) Work done by the body in 5 seconds.

(iv) Momentum of the body after 5 seconds.

6.(a) Explain and define the term Free Body diagram. Draw the free body diagram and

calculate the tensions in AC and BC shown in fig.4

(b) Prove that of moment of inertia of a circular section about an horiz

through C.G of the section is given by

7.(a) State and prove Pappus theorems I and II.

(b) Distinguish between area moment of inertia, polar moment of inertia and mass moment

of inertia.

/R13

N slides up a 600 inclined plane under the action of applied force

400N acting parallel to the inclined plane. The coefficient of friction is equal to 0.2.

body moves from rest. Determine

of the body

travelled by the body in 5 seconds

done by the body in 5 seconds.

of the body after 5 seconds.

Explain and define the term Free Body diagram. Draw the free body diagram and

calculate the tensions in AC and BC shown in fig.4.

Fig.4

Prove that of moment of inertia of a circular section about an horizontal axis and passing

of the section is given by Π D4/64.

State and prove Pappus theorems I and II.

Distinguish between area moment of inertia, polar moment of inertia and mass moment

of inertia.

Page 3 of 3

inclined plane under the action of applied force

400N acting parallel to the inclined plane. The coefficient of friction is equal to 0.2. The

[4+12]

Explain and define the term Free Body diagram. Draw the free body diagram and

ontal axis and passing

[8+8]

Distinguish between area moment of inertia, polar moment of inertia and mass moment

[8+8]

Set No - 1

||''''|||''|'''||''|

Subject Code: R13110/R13 I B. Tech I Semester Regular Examinations Jan./Feb. – 2015





*****

PART-A

1.(i) A force of 200N is acting at a point and makes an angle of 1200 and 60

0 with the x and y

axes respectively. Find the component of the force and express it as vector.

(ii) Explain and define the term Free Body Diagram.

(iii) Define radius of gyration. What is the radius of gyration of a circle of diameter d about its

diameter?

(iv) Derive the expression for the product of inertia for a rectangle with B x D about the axes

through the edges.

(v) State the condition for the dynamic equilibrium of a body under translation.

(vi) State the work energy principle for the body rotating about fixed axis.

(vii) State any two important laws of friction.

[4+3+4+4+2+3+2]

PART-B

2.(a) A body weighing 600N is lifted by two ropes passing over a smooth pulley as shown in

fig1. Determine F1 andF2.

Fig.1

Page 1 of 3

Set No - 2

||''''|||''|'''||''|


2.(b) A cone of height 20cm and radius of base 5cm is truncated from its apex by a height of

5cm. Locate the centre of gravity of the truncated cone.

[6+10]

3.(a) For the system shown in the fig 2., determine the magnitude P so that the system just

starts to move down. Assume that the pulley is smooth and coefficient of friction as 0.26

for horizontal and inclined planes.

Fig.2

(b) Compute the mass moment of inertia of a circular plate.

[6+10]

4.(a) A stone dropped into a well is heard to strike the water after 7secs. Find the depth of the

well, if the velocity of sound is 450m/s.

(b) The weight of a body on earth is 980N. If the acceleration due to gravity on earth is 9.80

m/s2, what will be the weight of the body on

(i) The moon, where gravitational acceleration is 1.6 m/s2 and

(ii) The sun, where gravitational acceleration is 270 m/s2.

[10+6]

5.(a) State and prove Varignon’s theorem.

(b) A body weighing 20N is projected up a 200 inclined plane with a velocity of 12m/s,

coefficient of friction is 0.15. Find the maximum distance S that the body will move up

the inclined plane.

[8+8]

Page 2 of 3

Set No - 2

||''''|||''|'''||''|


6.(a) Two spheres, each of weight 1000N and radius 25cm rest in a horizontal channel of width

90cm as shown in the fig.3. Find the reactions on the points of contact A, B and C.

Fig.3.

(b) Differentiate between rectilinear motion and curvilinear motion.

[10+6]

7.(a) Locate the centroid of the shaded area as shown in the fig.4

Fig.4

(b) Determine the second moment of an area of a right angled triangle with respect to its

base.

[10+6]

Page 3 of 3

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) State the parallelogram law of forces.

(ii) What is the principle of transmissibility?

(iii) What is centroid of a (a) rectangle (b) triangle with respect to base (c) triangle with

respect to apex.

(iv) What is the moment of inertia of triangular lamina (b x h) about its horizontal centroidal

axis.

(v) State the impulse momentum principle. Write its equation.

(vi) Derive relation between angular velocity and linear velocity.

(vii) Differentiate between kinematics and kinetics.

[3+3+3+4+3+3+3]

PART-B

2. A force vector is represented by a line AB. The coordinates of point A are (2, 4, 3) and of

point B is (1,-5, 2) respectively. If the magnitude of force is 10N, then determine the

(i) Components of the forces along x, y and z axis

(ii) Angles with the x, y and z axis.

(iii) Specify the force vector.

[16]

3.(a) A force of P is directed from a point A (4,1,4) metres towards a point (-3,4,-1) meters. If

it causes a moment of Mz = 1900Nm, determine the moment of P about x-axes and y-

axes.

(b) Determine the mass moment of inertia of a right circular cone shown in the fig.1 below

Fig.1

[6+10]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


4.(a) A tower is 150m height. A particle is dropped from the top of the tower and at the same

time another particle is projected upward from the foot of the tower. Both the particles

meet at height of 80m. Find the velocity with which the second particle is projected

upward.

(b) Derive work energy equation.

[10+6]

5.(a) A horizontal bar 10 m long and of negligible weight rests on rough inclined plane as

shown in the fig-2. If the angle of friction is 150, how close to B may the 200N force be

applied before motion impends?

Fig-2

(b) A body weighing 40N is projected up a 400 inclined plane with a velocity of 16m/s,

coefficient of friction is 0.20. Find the maximum distance S that the body will move up

the inclined plane.

[8+8]

6.(a) Define the terms: coplanar parallel forces, like parallel forces and unlike parallel forces.

(b) Derive the equations of motion of a body moving along a circular path with uniform

angular acceleration

[6+10]

7.(a) Determine the volume generated by rotating the shaded area shown in fig-3 about x-x

axis.

Fig-3

(b) Determine the centroid of the triangle (b x h) about the base from basic principles.

[12+4]

Page 2 of 2

A

2m

600 30

0

x

100 N 200 N

B

6 cm

1 cm 1 cm

6 cm

4 cm

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) Mention the Coulomb’s laws of friction.

(ii) What is the converse law of polygon law of forces.

(iii) State Pappus theorems I and II.

(iv) Differentiate between polar moment of inertia and product of inertia.

(v) Find the force acting on a body of mass 100 kg and producing an acceleration of 2 m/s2 in

the direction.

(vi) Find the work done in drawing a body weighing 500N through a distance of 5m along a

horizontal surface by force of 300N whose line of action makes an angle of 300 with the

horizontal.

[3+4+4+3+4+4]

PART-B

2. If the force multiplier of a force P acting from A to E is Pm= 40N/m, referring Fig-1. Find

out the following

(i) Component of P along AC

(ii) Moment of P about D.

[16]

Page 1 of 3

E

Z

4m 8m

6m

6m

O

•

C

B

A

X

D

Y

9 m

3m

W

4m

P

Fig-1

Set No - 4

||''''|||''|'''||''|


3.(a) Find the centroid of the shaded area shown in fig-2 w. r .t. x and y axes.

Fig.2

(b) Find the moment of inertia of the area shown in shaded area in fig .3, about edge AB.

Fig.3

[8+8]

4.(a) Explain the laws of motion for a body in rotational motion.

(b) A wheel rotating about a fixed axis at 20 rpm is uniformly accelerated for 70s during

which it makes 50 revolutions. Find the angular velocity at the end of this interval and

also the time required for the speed to reach 100rpm.

[8+8]

5.(a) A block is lying over a 100

wedge on a horizontal floor and leaning against a vertical wall

and weighing 1500N is to be raised by applying a horizontal force to the wedge.

Assuming coefficient of friction between all the forces in contact to be 0.3, determine the

minimum horizontal force to be applied to raise the block.


[10+6]

6.(a) Write about the following

(i) Free body diagram with example

(ii) Equations of equilibrium.

(b) An automobile travels 800m in 50s when it is accelerated at a constant rate of 0.8m/s.

Determine the initial and final velocity and also the distance travelled for the first 14s.

[6+10]

Page 2 of 3

Set No - 4

15cm

5cm 5 cm

y

X

||''''|||''|'''||''|


7.(a) Find the moment of inertia of T-section shown in fig: 4 w.r.t. its centroid x and y axes.

Fig: 4

(b) Determine the centroid of the rectangular section by integration

[10+6]

Page 3 of 3

20cm

4cm

10cm

3cm

Set No - 4

||''''|||''|'''||''|




Answering the question in Part-A is Compulsory, Three Questions should be answered from Part-B

***** PART-A

1.(i) Account for the circular shape of ‘Newton’s rings in interference pattern. (ii) Draw (1 1 1) and (1 1 0) planes in a cubic lattice. (iii) Distinguish between Soft and Hard magnetic materials. (iv) What are the fundamental laws of electromagnetism? (v) Calculate the wavelength associated with an electron raised to a potential 1600V. (vi) Describe the working mechanism for of Light Emitting Diode.

[3+4+4+4+3+4] PART-B

2.(a) What are the types of diffraction and give the differences between them. (b) Write notes on Rayleigh’s Criterion. (c) Define Resolving power of a grating. Derive the expression for Resolving power of a

grating based on Rayleigh’s Criterion. [4+6+6]

3.(a) What are Miller Indices? How are they obtained? (b) State and prove Bragg’s law of X-ray diffraction. What is the limiting condition for

Bragg’s law? (c) The Bragg’s angle for reflection from the (1 1 1) plane in FCC crystal is 19.2o for an X-

ray wavelength of 1.54Å. Compute the cube edge of the unit cell. [6+6+4]

4.(a) Derive London equations pertaining to superconductors. (b) Write notes on penetration depth in superconductivity. (c) What are applications of superconductors?

[6+6+4] 5.(a) Mention the basic requirements of an acoustically good hall. (b) Write notes on Absorption coefficient and its measurement.

[8+8] 6.(a) Explain Bloch theorem. (b) Give an account of Band theory of solids based on the Kronig-Penny model. Discuss the

salient features of Kronig-Penny model of a crystal. [4+12]

7.(a) Write the expressions for electron and hole concentrations in an intrinsic semiconductor and hence derive the expression for Fermi energy in an intrinsic semiconductor.

(b) How does the electrical conductivity vary with temperature for an intrinsic semiconductor?

(c) If the effective mass of electron is equal to twice the effective mass of hole, determine the position of the Fermi level in an intrinsic semiconductor from the centre of forbidden gap at room temperature.

[6+6+4]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|





***** PART-A

1.(i) Explain the colours in a thin film when exposed to sunlight. (ii) Define Coordination Number, Nearest Neighbor Distance and Atomic Radius. (iii) Explain Diamagnetism. Why diamagnetic materials have negative susceptibility? (iv) A hall has dimensions 20x15x5 m3. The reverberation time is 3.5 sec. Calculate the total

absorption of its surfaces. (v) What are Matter waves? Derive the expression for their wavelength. (vi) Describe the working mechanism for Photo conductors.

[4+3+4+3+4+4] PART-B

2.(a) Describe Frunhofer diffraction due to ‘n’ parallel slits. (b) Describe the action of plane transmission grating in producing diffraction spectrum. (c) Show that the grating with 500 lines/cm cannot give a spectrum in the 4th order for the

light of wavelength 5890Å. [6+6+4]

3.(a) What is meant by population of an energy state? (b) What is Population inversion? How is it achieved? Why is it necessary for lasing action? (c) With neat diagram, describe the construction and working of Ruby laser.

[2+8+6] 4.(a) Explain electronic polarisability and show that electronic polarisability for a mono atomic

gas increases as the size of the atom becomes larger. (b) The dielectric constant of He gas at NTP is 1.0000684. Calculate the electronic

polarisability of He atoms if the gas contains 2.7x1025 atoms per m3. [12+4]

5.(a) Explain the terms ‘Reverberation time’ and ‘Absorption Coefficient’. (b) Derive Sabine’s formula for reverberation time.

[4+12] 6.(a) What is Fermi level?

(b) Explain the Fermi-Dirac distribution function of electrons. Explain the effect of temperature on the distribution.

(c) Explain the concept of effective mass of an electron. [2+8+6]


(b) Show that for n-type semiconductor the Hall coefficient RH= -

.

(c) Write any four applications of Hall effect. [6+6+4]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|





***** PART-A

1.(i) How diffraction is different from interference? (ii) Obtain the relation between the edge of the unit cell and atomic radius for SC, BCC and

FCC lattices. (iii) Explain the properties of ferromagnetic materials. (iv) What are the fundamental laws of electromagnetism? (v) Show that the wavelength associated with an electron of mass ‘m’ and kinetic energy É’

is given by λ=

√.

(vi) Describe the working mechanism for of Light Emitting Diode. [4+3+4+4+3+4]

PART-B

2.(a) Explain the concept of coherence and discuss why two different sources of light of the

same wavelength cannot produce interference fringes. (b) Obtain an expression for the diameter of the nth dark ring in the case of Newton’s rings. (c) Two coherent sources produce interference pattern. Intensity ratio of bright fringe to dark

fringe is 9:1. Calculate the intensity ratio of the sources. [6+6+4]

3.(a) What are the characteristics of laser beam? Explain. (b) Distinguish between Spontaneous and Stimulated emissions. (c) Derive the expression for energy density of radiation in terms of Einstein coefficients.

[4+4+8] 4.(a) What is superconductivity? Explain Meissner effect. Describe type-I and type-II

superconductors. (b) Describe Josephson effects. Explain the applications of Josephson effect.

[8+8] 5.(a) Mention the basic requirements of an acoustically good hall. (b) Write notes on Absorption coefficient and its measurement.

[8+8] 6.(a) Explain Bloch theorem.

(b) Give an account of Band theory of solids based on the Kronig-Penny model. Discuss the salient features of Kronig-Penny model of a crystal.

[4+12] 7.(a) Write the expressions for electron and hole concentrations in an intrinsic semiconductor

and hence derive the expression for Fermi energy in an intrinsic semiconductor. (b) How does the electrical conductivity vary with temperature for an intrinsic

semiconductor? (c) If the effective mass of electron is equal to twice the effective mass of hole, determine the

position of the Fermi level in an intrinsic semiconductor from the centre of forbidden gap at room temperature.

[6+6+4] Page 1 of 1

Set No - 3

||''''|||''|'''||''|





***** PART-A

1.(i) What is Brewster’s law? Prove that the angle between reflected and refracted beams is 900, if the angle incidence corresponds to Brewster’s angle.

(ii) What are the important features of Miller indices? (iii) What are the sources of permanent dipole moment in magnetic materials? (iv) A hall has dimensions 20x15x5 m3. The reverberation time is 3.5 sec. Calculate the total absorption of its surfaces. (v) What are Matter waves? Explain their properties. (vi) Describe the working mechanism for solar cells.

[4+4+3+3+4+4] PART-B

2.(a) What are the necessary conditions for obtaining interference fringes? (b) With ray diagram discuss the theory of thin films and derive the condition for

constructive and destructive interference in the case of reflected system. (c) A parallel beam of light λ=5890Å, is incident on a glass plate (µ=1.5) such that angle of

refraction into plate is 60o. Calculate the smallest thickness of the plate which will make it appear dark by reflection.

[3+9+4] 3.(a) What is Optical fiber? What are the conditions to produce total internal reflection in

optical fiber. (b) Describe acceptance angle of an optical fibre and derive an expression for it. (c) Calculate the angle of acceptance of a given optical fiber, if the refraction indices of the

core and the cladding are 1.563 and 1.498 respectively. [4+8+4]

4.(a) What are super conductors? Explain BCS theory. (b) Derive London’s equations and also derive the expression for London penetration depth.

[8+8] 5.(a) Explain the terms ‘Reverberation time’ and ‘Absorption Coefficient’. (b) Derive Sabine’s formula for reverberation time.

[4+12] 6.(a) What is Fermi level?

(b) Explain the Fermi-Dirac distribution function of electrons. Explain the effect of temperature on the distribution.

(c) Explain the concept of effective mass of an electron. [2+8+6]


(b) Show that for n-type semiconductor the Hall coefficient RH= -

.

(c) Write any four applications of Hall effect. [6+6+4]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|



ENGINEERING DRAWING




1.(a) Draw the Isometric view assuming suitable data:

(b) A pentagonal prism is resting on a corner of its base on the ground with a longer edge

containing that corner inclined at 450 to the HP and the vertical plane containing that

edge and the axis inclined at 300 to the VP. Draw its projections. Base 40 mm side,

height 65 mm.

2.(a) Construct a regular hexagon of side 28 mm when one side is horizontal.

(b) An area of 144 sq cm on a map represents an area of 36 sq km on the field. Find the RF

of the scale for this map and draw a diagonal scale to show kilometers,

decameters and to measure up

hectameters and 6 decameters.


ENGINEERING DRAWING (EEE)




*****

PART-A

Draw the Isometric view assuming suitable data: fig.1

Fig.1

resting on a corner of its base on the ground with a longer edge



PART-B

Construct a regular hexagon of side 28 mm when one side is horizontal.

An area of 144 sq cm on a map represents an area of 36 sq km on the field. Find the RF

of the scale for this map and draw a diagonal scale to show kilometers,

decameters and to measure up to 10 km. Indicate on the scale a distance of 7 km, 5

hectameters and 6 decameters.

Page 1 of 1



resting on a corner of its base on the ground with a longer edge



[14+8]

An area of 144 sq cm on a map represents an area of 36 sq km on the field. Find the RF

of the scale for this map and draw a diagonal scale to show kilometers, hectameters and

to 10 km. Indicate on the scale a distance of 7 km, 5

[8+8]

Set No - 1

||''''|||''|'''||''|


3.(a) The Top view of a 75 mm long line measures 55 mm. The line is in the VP, its one end

being 25 mm above the HP. Draw its projections.

(b) Draw the projections of the following points on the same ground line, keeping the

projectors 25 mm apart.

(i) 40 mm above the HP and 25 mm in front of the VP

(ii) In the VP and 40 mm above the HP

(iii) 15 mm above the HP and 50 mm behind the VP

[8+8]

4. The projectors drawn from the HT and the VT of a straight line AB are 80 mm apart

while those drawn from its ends are 50 mm apart. The HT is 35 mm in front of the VP,

the VT is 55 mm above the HP and the end A is 10 mm above the HP. Draw the

projections of AB and determine its length and inclinations with the reference planes.

[16]

5. A semicircular plate of 80 mm diameter has its straight edge in the VP and inclined at 450

to the HP. The surface of the plate makes an angle of 300 with the VP. Draw its

projections.

[16]

6. A square headed bolt 25 mm diameter, 125 mm long and having a square neck has its

axis parallel to the ground and inclined at 450 to the VP.

[16]

7. Draw (i) Front View (ii) Top View (iii) Side View fig.2

Fig.2

[16]

Page 2 of 2

Set No - 1

||''''|||''|'''||''|



ENGINEERING DRAWING




1.(a) Draw (i) Front View (ii) Top View

(b) A square pyramid, base 40 mm side and axis 90 mm long, has a triangular face on the

ground and the vertical plane containing the axis makes an angle of 4

Draw its projections.

2.(a) Construct a Vernier scale of RF=1/80 to read inches and to measure up to 15 yards.

(b) A car is running at a speed of 50 km/hour. Construct a diagonal scale to show 1

Kilometer by 3 cm and to

covered by the car in 5 minutes 28 seconds.






*****

PART-A

ii) Top View (iii) Left Hand Side View fig.1

Fig.1

A square pyramid, base 40 mm side and axis 90 mm long, has a triangular face on the

ground and the vertical plane containing the axis makes an angle of 4

PART-B

Construct a Vernier scale of RF=1/80 to read inches and to measure up to 15 yards.

A car is running at a speed of 50 km/hour. Construct a diagonal scale to show 1

Kilometer by 3 cm and to measure up to 6 kilometers. Mark also on the scale the distance

covered by the car in 5 minutes 28 seconds.

Page 1 of 2



A square pyramid, base 40 mm side and axis 90 mm long, has a triangular face on the

ground and the vertical plane containing the axis makes an angle of 450 with the VP.

[14+8]

Construct a Vernier scale of RF=1/80 to read inches and to measure up to 15 yards.

A car is running at a speed of 50 km/hour. Construct a diagonal scale to show 1

measure up to 6 kilometers. Mark also on the scale the distance

[8+8]

Set No - 2

||''''|||''|'''||''|


3.(a) Two points A and B are in the HP. The point A is 30 mm in front of the VP;


top views makes an angle of 45

(b) A line AB 25 mm long is parallel to VP and perpendicular to HP.

above HP and 20 mm in front of

of the line AB.

4. A line PQ 100 mm long is inclined at 30

in the VP and 20 mm above the HP. Draw it


5. Draw an equilateral triangle of 75 mm side and inscribe a circle in it. Draw the projection

of the figure, when its plane is vertical and inclined at 30

of the triangle is inclined at 45

6. Draw the projections of a cylinder, base 30 mm diameter and axis 40 mm long, resting

with a point of its base circle on HP such that the axis is making an angle of 30

and parallel to VP.

7. Draw the Isometric view:


Two points A and B are in the HP. The point A is 30 mm in front of the VP;


top views makes an angle of 450 with xy. Find the distance of the point B from the VP.

A line AB 25 mm long is parallel to VP and perpendicular to HP. Point A is 35 mm

above HP and 20 mm in front of VP. Point B is 10 mm above HP. Draw the projections

A line PQ 100 mm long is inclined at 300 to the HP and at 45

0 to the VP. Its midpoint is

in the VP and 20 mm above the HP. Draw its projections, if its end P is in the third


Draw an equilateral triangle of 75 mm side and inscribe a circle in it. Draw the projection

of the figure, when its plane is vertical and inclined at 300 to the VP and one of the sides

of the triangle is inclined at 450 to the HP.

Draw the projections of a cylinder, base 30 mm diameter and axis 40 mm long, resting

with a point of its base circle on HP such that the axis is making an angle of 30

Draw the Isometric view: fig.2

Fig.2

Page 2 of 2

Two points A and B are in the HP. The point A is 30 mm in front of the VP; While B is


with xy. Find the distance of the point B from the VP.

Point A is 35 mm

Draw the projections

[8+8]

to the VP. Its midpoint is

s projections, if its end P is in the third

[16]

Draw an equilateral triangle of 75 mm side and inscribe a circle in it. Draw the projection

nd one of the sides

[16]

Draw the projections of a cylinder, base 30 mm diameter and axis 40 mm long, resting

with a point of its base circle on HP such that the axis is making an angle of 300 with HP

[16]

[16]

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(a) Draw the Isometric view: fig.1

Fig.1

(b) A cylindrical block, 75 mm diameter and 25 mm thick, has a hexagonal hole of 25 mm

side, cut centrally through its flat faces. Draw three views of the block when it has its flat

faces vertical and inclined at 300 to the VP and two faces of the hole parallel to the HP.

[14+8]

PART-B

2.(a) Construct a regular polygon of any number of sides, given the length of its sides equal to

25 mm.

(b) The actual length of 500 m is represented by a line of 15 cm on a drawing. Construct a

vernier scale to read upto 600 m. Mark on the scale a length of 549 m.

[8+8]

3.(a) A vertical line AB, 75mm long, has its end A in the HP and 25 mm in front of the VP. A

line AC, 100 mm long, is in the HP and parallel to the VP. Draw the projections of the

line joining B and C, and determine its inclination with the HP.

(b) A line CD 30 mm long is parallel to both the planes. The line is 40 mm above HP and 25

mm in front of VP. Draw its projections.

[8+8]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


4. A line AB, 65 mm long, has its end A in the HP and 15 mm in front of the VP. The end B

is in the third quadrant. The line is inclined at 35

its projections.

5. A 600 Set-square of 125 mm longest side is so kept that the longest side is in the HP

making an angle of 300 with the VP and set square itself inclined at 45

the projections of the Set-

6. A hexagonal pyramid, base 25mm side and axis 50mm long, has on edge of its base on

the ground. Its axis is inclined at 30

projections.

7. Draw (i) Front View (ii) Top View


A line AB, 65 mm long, has its end A in the HP and 15 mm in front of the VP. The end B

is in the third quadrant. The line is inclined at 350 to the HP and at 60

0

square of 125 mm longest side is so kept that the longest side is in the HP

with the VP and set square itself inclined at 450

-square.

A hexagonal pyramid, base 25mm side and axis 50mm long, has on edge of its base on

the ground. Its axis is inclined at 300 to the ground and parallel to the VP. Draw its

ii) Top View (iii) Side View fig.2

Fig.2

Page 2 of 2

A line AB, 65 mm long, has its end A in the HP and 15 mm in front of the VP. The end B

to the VP. Draw

[16]

square of 125 mm longest side is so kept that the longest side is in the HP

to the HP. Draw

[16]

A hexagonal pyramid, base 25mm side and axis 50mm long, has on edge of its base on

to the ground and parallel to the VP. Draw its

[16]

[16]

Set No - 3

||''''|||''|'''||''|



ENGINEERING DRAWING




1.(a) Draw (i) Front View (ii) Top View

(b) The top view of a plate, the surface of which is perpendicular to the VP and inclined at

600 to the HP is a circle of 60 mm diameter. Draw its three views

2.(a) Draw an Octagon given the length of side 25 mm.

(b) The major axis of an ellipse is 100 mm and the minor axis 55 mm. Find the foci and

construct the ellipse by Intersecting Arcs method.

3.(a) A point 30 mm above xy

is 45 mm above the HP. While that of the point Q is 35 mm below the HP. Draw the

projections of the points and state their position with reference to the principle planes and







*****

PART-A

ii) Top View (iii) Left Hand Side View fig.1

Fig.1

The top view of a plate, the surface of which is perpendicular to the VP and inclined at

to the HP is a circle of 60 mm diameter. Draw its three views.

PART-B

Draw an Octagon given the length of side 25 mm.

The major axis of an ellipse is 100 mm and the minor axis 55 mm. Find the foci and

construct the ellipse by Intersecting Arcs method.

A point 30 mm above xy line is the plan view of two points P and Q. The elevation of P



which they lie.

Page 1 of 2



The top view of a plate, the surface of which is perpendicular to the VP and inclined at

[14+8]

The major axis of an ellipse is 100 mm and the minor axis 55 mm. Find the foci and

[8+8]

line is the plan view of two points P and Q. The elevation of P



Set No - 4

||''''|||''|'''||''|


3.(b) A line PQ 40 mm long is parallel to VP and inclined at an angle of 300 to HP. The lower

end P is 15 mm above HP and 20 mm in front of VP. Draw the projections of the line.

[8+8]

4. The top view of a 75 mm long line AB measures 65 mm, while the length of its front

view is 50 mm. It’s one end A is in the HP and 12 mm in front of the VP. Draw the

projections of the AB and determine its inclinations with the HP and the VP.

[16]

5. A thin circular plate of 70 mm diameter is resting on its circumference such that its plane

is inclined 600 to the HP and 300 to the VP. Draw the projections of the plane.

[16]

6. A right circular cone of base diameter 50 mm and height 60 mm is placed such that one

diameter AB of the base is inclined at 450 to HP and the other diameter CD of the base is

parallel to both HP and VP. The diameters AB and CD are perpendicular to each other.

Draw the projections of the cone.

[16]

7. Draw the Isometric view: fig.2

Fig.2

[16]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(i) How did the clergyman help Scoresby at school?

(ii) State any two major arguments of Haldane on scientific point of view.

(iii) Do you think Russell’s ideas are relevant to the contemporary world? Justify.

(iv) What are the contributions of G.D Naidu that made him one of the greatest technologists

of India?

(v) What is the major service rendered by Dr.Bhatkar to Indian IT sector?

(vi) Write about the universe as described by James Jeans.

(vii) What efforts did Gandhi make to economize on his expenses as a student in London?

[3+3+3+3+3+3+4]

PART-B

2.(a) What, according to Dr.Kalam, are the three stages in making India a knowledge society?

(b) What is G.R. Gopinath’s contribution to the field of agriculture?

[8+8]

3.(a) What according to L.A. Hill are the principles of good writing?

(b) What are Sudha Murthy’s contributions to Indian society?

[8+8]

4.(a) How does the lesson In London by M.K.Gandh help young people in bringing necessary

changes in their life style?

(b) Sketch the character of the Scoresby.

[8+8]

5.(a) What, according to Russell, would lead to Man’s peril on earth?

(b) Write the synonyms for the following words :

(i) obliterate (ii) stranded (iii) clumsy (iv) rational

(c) Choose the appropriate antonyms given in bold.

(i) comprehensive (ii) impartial (iii) philanthropist. (iv) indigenous

[8+4+4]

Page 1 of 3

Set No - 1

||''''|||''|'''||''|


6.(a) Correct and rewrite the following sentences.

(i) Rahul did the work just now.

(ii) Shilpa is in this field since 5 years.

(iii) They worked very hardly to win the finals.

(iv) Sanju could able to comprehend this passage well.


(i) She did all the work in the kitchen with the help of ------ servant maid , while

_______ children were watching a program on TV.

(ii) He deserved ---------- punishment; and he knows -------.

(c) Use appropriate prepositions to fill in the blanks.

(i) I searched for you ________ your department and also looked for you _____ your

table.

(ii) He is grateful ---------- his master---------- many favours.

(d) Fill in the blanks with adverb and adjective forms of the words given in parenthesis.

(i) She is an __________________ girl and so she answers very _______________.

(intelligence)

(ii) He is a __________ and behaves ________________ (fool)

[4+4+4+4]

7.(a) Use the following phrases in your own sentences.

(i) give up

(ii) put off

(iii) up with the lark

(iv) join the bandwagon

(b) Fill in the blanks with articles if necessary:

(i) I have ____ laptop and _____ ipod

(ii) Which is ----------- longest river in India?

(iii) Leela is ------------ untidy girl.

(c) Match the words in Column A with their meanings in Column

Column A Column B

(i) Pique Strong liking

(ii) Penchant Praised

(iii) Unbiased To stimulate interest

(iv) Acclaimed Fair

Helter-skelter

Page 2 of 3

Set No - 1

||''''|||''|'''||''|


7.(d) Write the summary of the following passage in about 50 words:

We all know what we mean by a “good” man. The ideally good man does not

drink or smoke, avoids bad language, converses in the presence of men only exactly as he

would if there were ladies present, believes in God, attends prayers regularly and holds

the correct opinion on all subjects. He has a wholesome horror of wrong-doing and

realizes that it is our painful duty to castigate sin. He has a still greater horror of wrong

thinking, and considers it the business of the authorities to safeguard the young against

those who question the wisdom and the views generally accepted by middle-aged,

successful citizens. Apart from his professional duties, at which he is assiduous, he

spends much time in good social and humanitarian works: he may encourage patriotism

and military training; he may promote industry, sobriety and virtue among wage earners

and their children by seeing to it that failures in these respects receive due punishment; he

may be a trustee of a university, works to promote quality education and prevents an ill-

judged respect for learning from allowing the employment of professors with

revolutionary ideas. Above all, of course, his “morals” in the narrow sense must be

flawless.

[4+4+4+4]

Page 3 of 3

Set No - 1

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*****

PART-A

1.(i) Sketch the character of Scoresby?

(ii) What does Gandhi mean when he says,

‘I began the speech of Pitt’s. But Mr.Bell rang the bell of alarm in my ear and I awoke’

(iii) Do you think Russell’s ideas are relevant to the contemporary world?

(iv) Give a gist of Sudha Murthy’s philanthropic work.

(v) Give an account of the character of Gopinath.

(vi) How according to Kalam can we generate wealth?

(vii) How according to L.A.Hill does reading help one to become a good writer?

[3+3+3+3+3+3+4]

PART-B

2.(a) What were the three phases of Gandhi’s life In London? Explain

(b) Give an account of Naidu’s attitude towards education.

[8+8]

3.(a) What according to Abdul Kalam are the factors that constitute a knowledge society?

(b) What are the two accidents described by James Jeans?

[8+8]

4.(a) Why does the author say ‘the sun is dying’ and how does it affect the human life?How

can physical science help this situation ?


[8+8]

5.(a) Write about the consequences of atomic bombing in the second world war. What does

Russell suggest to avoid wars in future?

(b) Write a paragraph on ‘Green House Effects’.

(c) Write an email to your e-bay sales team requesting them to give the procedure of buying

a mobile from their website along with the details of the models and warranty issues.

[8+4+4]

Page 1 of 3

Set No - 2

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(i) vital (ii) wandering (iii) courageous (iv) modesty

(b) Choose the appropriate antonyms for the words in bold:

(i) The teacher is unbiased in her assessment.

(a) understanding (b) impartial (c) significant (d) bases

(ii) Dr. Bhatkar is an acclaimed global leader in computing.

(a) praised (b) unbelievably (c) luckily (d) potentially

(iii) Dr. Sudha Murthy has an impressive demeanour.

(a) Love for mankind (b) generosity (c) appearance and behaviour (d) pious

(iv) Mr. Naidu was so passionate about education.

(a) native like (b) exotic (c) dislike (d) strong love

(c) Correct and rewrite the following sentences:

(i) One of Rahul’s friends are in the United States.

(ii) You must enjoy when you are alone.

(iii) Each of the soldiers get the reward.

(iv) I want to know where are you going.

(d) Use appropriate prepositions to fill in the blanks.

(i) _____ I was waiting for my brother, she was looking _______ her friends.

(ii) They are very angry _______ the students but I am not happy ________ the way they

expressed it.

[4+4+4+4]

7.(a) Fill in the blanks with articles:

(i) Do you see ---------- blue sky?

(ii) He is ------------ honest man.

(iii) I met --------------- European at the university.

(iv) ----------- Bible is a holy book.

(b) Fill in the blanks with suitable pronouns.

(i) Here is --------- book. Take --------- away.

(ii) Train up ---------- child in the way--------- should go.


Column A Column B

(i) grassroots inbuilt

(ii) emulate flourish

(iii) inherent fundamental

(iv) prosper imitate

Love for mankind

Page 2 of 3

Set No - 2

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From housing to farming to healthcare to travel to clothing; everything that the

present human society uses with such ease and comfort has been improved through

experiments, application of mind and enterprise. Clothing from winter garments to

Burqas to polo caps to sarees to Kimono to Dhotis to western suits, all have gone through

a process of evolution and innovation. Today, in the globalized world, one sees myriad

varieties of clothing people use. The variation is due to weather conditions, overhang of

culture, economic status and religion. Just as all items—from medicines to safety razors

to aero-planes have a history behind them, clothing has a history of it’s own. Apart from

the purely functional needs, clothing represents our sense of fashion, aesthetics and

beauty. The most eventful periods in the history of clothing were the nineteenth and

twentieth centuries. It is interesting to know why it was so. Before the winds of

democracy swept through Europe, and capitalist markets developed in eighteenth century

Europe, people were rather too orthodox in their dresses. Mass-produced textiles and

clothing had not entered the market. So, one could not experiment with clothes, even if

one attempted to. Rigid feudal society was conformist giving little leeway for any sort of

innovation in clothing.

[4+4+4+4]

Page 3 of 3

Set No - 2

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*****

PART-A

1.(i) What were the changes Gandhi adapted in order to become an English gentleman?

(ii) How according to Abdul Kalam can India become a super power?

(iii) What are the physical conditions required for life to exist?

(iv) Give an account of G.D.Naidu’s childhood.

(v) How did Gopinath’s headmaster influence him?

(vi) What is the problem that Russell says is “stark, dreadful, and inescapable”?

(vii) Present L.A.Hill’s views on reading.

[3+3+3+3+3+3+4]

PART-B

2.(a) Give an account of Gandhi’s experiences In London as a student.

(b) Write about Sudha Murthy’s life and career.

[8+8]

3.(a) What are the views of Haldane about science?

(b) Present the character of the clergyman in the lesson, ‘Luck’

[8+8]

4.(a) Write the summary of “The scientific point of view” by J.B.S.Haldane.

(b) What does India need to stay ahead in the global supercomputer race?

[8+8]

5.(a) Do you think the happenings in ‘Luck’ could be real? Give reasons to support your

answer.

(b) Write a speech on “ Importance of Technical Education in India”.

(c) Write a letter to a ‘Fast Track transport company’complaining that the goods sent by

them were damaged in the transit.

[6+6+4]

6.(a) Write the synonyms for the following words.

(i) accomplish (ii) repulse (iii) sarcastic (iv) profoundly

(b) Choose the appropriate antonyms for the words in bold.

(i) The leader is unrivalled because of his philanthropic nature.

(a) loveable (b) has enemies (c) no enemies (d) friends

(ii) Dr. Bhatkar is an acclaimed global leader in computing.

(a) praised (b) unbelievably (c) luckily (d) potentially

(iii) Dr. Sudha Murthy has a remarkable.

(a) Love for mankind (b) generosity (c) appearance and behaviour (d) pioused

(iv) Mr. Naidu was so passionate about education.

(a) native like (b) exotic (c) dislike (d) strong love

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


6.(c) Correct and rewrite the following sentences:

(i) The price of vegetables is more than meat.

(ii) He is more cleverer than his brother.

(iii) Each of the brothers get the profit in their business.

(iv) The train arrived before they reached the station.

(d) Use appropriate prepositions to fill in the blanks:

(i) They are very angry _______ the students but I am not happy ________ the way they

expressed it.

(ii) The baby is _____ the cradle and mother is sleeping ______ the cot.

[4+4+4+4]

7.(a) Fill in the blanks with suitable verb forms.

(i) It ------------ (rain) while the boys------------ (play)

(ii) She ---------- this place a year ago. (leave)

(iii) The king as well as the soldiers ------------- the victory now. (celebrate)

(b) Fill in the blanks with adverb and adjective forms of the words given in parenthesis.

(i) It is an _________________ washing machine.

It turns off

___________________. (automation)

(ii) She is very _________________. She spoke very ____________________ in front of

the audience. (confidence)


Column A Column B

(i) passion consequent

(ii) bustle Lot of interest

(iii) impish noisy

(iv) successive mischievous

pioneer


One of our most difficult problems is what we call discipline and it is really very

complex to explain, to be understood and followed. You see, society feels that it must

control or discipline the citizen, shape his mind according to certain religious, social,

moral, ethical, economic and national or patriotic patterns. Is discipline necessary at all is

the question that hangs on the minds of every youth? Please listen carefully. Don’t

immediately say YES or NO. Most of us feel, especially while we are young, that there

should be no discipline, that we should be allowed to do whatever we like and we think,

that is freedom. But merely to say that we should not be free and should be restricted by

any norms or rules, has very little meaning without understanding the whole problem of

discipline. The keen athlete is disciplining himself the whole time, isn't he? His joy in

playing games and the very necessity to keep fit makes him go to bed early, refrain from

smoking, eat the right food and generally observe the rules of good health. His discipline

and punctuality is not an imposition but a natural outcome of his enjoyment of

athletics. Hence, if you need to be successful in your career or life you have to be

disciplined.

[4+4+4+4]

Page 2 of 2

Set No - 3

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*****

PART-A

1.(i) What made Gandhi think that he had to economize on his expenses during his stay in

London?

(ii) What does J.B.S.Haldane want to tell us by giving the example of an American Negro?

(iii) Describe the incidents in war that won laurels to Scoresby with special reference to his

ignorance.

(iv) Why was G.D.Naidu called the “Edison of India”?

(v) Give an account of the successful career of Gopinath.

(vi) Write about the earth and the life as described by James Jeans.

(vii) Do you think Russell’s ideas are relevant to the contemporary world? Give reasons.

[3+3+3+3+3+3+4]

PART-B

2.(a) What are the circumstances that made Gandhiji to realize that it is not necessary to

imitate others? Realizing so, what changes did he make in his lifestyle in London?

(b) Write about Sudha Murthy’s achievements.

[8+8]

3.(a) What does Abdul Kalam say about making India a knowledge society ? What are the

factors that make India a super power?

(b) How does J.B.S.Haldane insist both a judge and a scientist to be impartial?

[8+8]

4.(a) Summarise L.A.Hill’s suggestions to a person who wants to become a good writer.

(b) What are the major contributions of Dr.Vijay Bhatkar’s in bringing ICT to masses?

[8+8]

5.(a) Justify Russell’s statement that the ‘world is full of conflicts’

(b) Write an email to your customers about the launching of new products of your company.

You are working as a sales person of Season’s cosmetics, Andheri, Mumbai.

(c) Use the following phrases your own sentences.

(i) look into

(ii) fall through

(iii) make up

(iv) to break the ice

[6+6+4]

Page 1 of 3

Set No - 4

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(i) perpetual (ii) deployment (iii) aberrant (iv) arbitrary


The boys were playing cricket for _________ school. They were practicing cricket with

the help of ________ coach. The school will continue ________ as the coach for the next

match if ________ win the game.

(c) Use appropriate prepositions to fill in the blanks.


(ii) There are many historical places ____ India. Most of them are ____ the banks of

rivers.

(d) Correct and rewrite the following sentences:

(i) The price of mangoes are high.

(ii) He discussed about the matter with his friend.

(iii) Lalit had visited the museum last week.

(iv) The baby has been crying since two hours.

[4+4+4+4]

7.(a) Write the noun forms of the following words:

(i) confirm (ii) relate (iii) deploy (iv) punish

(b) Fill in the blanks with articles, if necessary.

(i) Copper is ---------- useful metal.

(ii) Can you play ------------ flute.

(iii) Mr. Smith is ----------- American.

(iv) ---------- Ganges is a holy river.


Column A Column B

(i) emulate Path maker

(ii) sericulture Strong liking

(iii) pell-mell Raising of silk worms

(iv) pioneer imitate

Helter-skelter

Page 2 of 3

Set No - 4

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There are different types of forests in India. several products are received from these

forests. The following are some of the forest products which are important in the growth

and development of industries. Forest products and the industries based on them are:

(i) Timber: Timber from the forest is utilised in building activities, industries and in

carpentry workshops. Asia's largest saw mill has been in operation is Andaman Islands.

(ii) Rubber: Rubber trees are grown in large numbers on the Western Ghats. As a

consequence, there are a large number of industries dependent on rubber in the Peninsular

India.

(iii) Wood Pulp: Wood pulp is made from the wood of the forests and paper is

manufactured from the pulp. There are a large number of Paper mills in the States of

Tamil Nadu, Maharashtra, West Bengal and Madhya Pradesh.

(iv) Lac and Wax : Lac and Wax are forest products and they are used in manufacturing

paints. The forests have been responsible for the growth of cottage industries.There are

other natural products, common to all these kinds of forests that are ready to use like

tamarind, soap nuts, honey, bamboos etc. Thus a number of industries make use of forest

products.

[4+4+4+4]

Page 3 of 3

Set No - 4

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*****

PART-A

1.(i) Give various ecological levels of organization in ascending order.

(ii) Explain the concept of food chain.

(iii) What are the methods of conserving water resources?

(iv) Explain what is meant by genetic diversity?

(v) What do you know about ocean water pollution?

(vi) Write explanatory notes on ozone hole.

[4+4+4+4+3+3]

PART-B

2. (a) What is biodiversity. What is its significance?

(b) What is the role of the citizen in preserving and protecting the environment?

What is sustainable life style?

[8+8]

3. (a) Describe various renewable sources of energy.

(b) Give the salient features of a pond ecosystem.

[8+8]

4. (a) Discuss the ways in which land is degraded. Suggest the steps to check land degradation.

(b) What is the role of information technology in environment and human health.

[8+8]

5 . Write about

(a) Resettlement and rehabilitation

(b) Endangered and Endemic species.

(c) Various stages of EIA

[6+5+5]

6. (a) Discuss the causes and effects of global warming

(b) Discuss the role of 3 R s-Reduce, Reuse and Recycle in pollution control and

environmental conservation.

[8+8]

7. Prepare a field report on the visit of a polluted river site.

[16]

Page 1 of 1

Set No - 1

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*****

PART-A

1.(i) Differentiate between primary succession and secondary succession.

(ii) What are the methods of conserving soil erosion.

(iii) Differentiate between a national park and sanctuary.

(iv) Mention the causes of smog and acid rain.

(v) What is forest conservation act?

(vi) Write about environmental audit.

[5+4+4+4+3+2]

PART-B

2. (a) Define biodiversity. How is, diversity at various levels generally conserved.

(b) Write about producers, consumers and decomposers.

[8+8]

3. (a) What are mineral resources? How can mineral resources be conserved?

(b) What are the global effects of air pollution? Discuss the sources and effects of ozone holes

and acid rains.

[8+8]

4.(a) Discuss the causes and effects of global warming

(b) Write about Aquatic ecosystem

[8+8]

5. (a) Discuss the role of 3 R s-Reduce, Reuse and Recycle in pollution control and

environmental conservation.

(b) What is the role of an individual in conservation of natural resources?

[8+8]


(a) Extinction of species

(b) Nuclear hazards

(c) Composting

(d) Green belts

[4+4+4+4]

7. Prepare a field report to the visit to a Mountain ecosystem.

[16]

Page 1 of 1

Set No - 2

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*****

PART-A

1.(i) Write about chipko movement.

(ii) What are ecological pyramids? Write about different types of pyramids

(iii) Write about species biodiversity.

(iv) Write about Bhopal gas tragedy. It is what type of pollution?

(v) What is EIA?

(vi) Write about water logging and salinity.

[4+4+4+4+2+4]

PART-B

2. (a) Explain the significance of biomass energy.

(b) Write about desert ecosystem and forest ecosystem.

[6+10]

3. What is noise pollution? Discuss the sources and effects of noise pollution. How can noise

pollution be controlled?

[16]

4. (a) What is Environmental audit? Explain.

(b) What is ex-situ and in-situ conservation of biodiversity?

[4+12]


(a) CFC’s

(b) EMP

(c) Rain water harvesting

(d) Food chains and food webs

[4+4+4+4]

6. (a) What are waste lands? What are the means of their conservation?

(b) Distinguish between renewable and non- renewable resources

[8+8]

7. (a) Mention the different environmental acts and write about one.

(b) Discuss about Environmental ethics and issues connected there on.

[8+8]

Page 1 of 1

Set No - 3

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*****

PART-A

1.(i) What are the issues involved in enforcement of environment legislation.

(ii) Explain what is meant by ecosystem diversity?

(iii) Write about man and wild life conflicts.

(iv) Write about Rio summit.

(v) What is Water act?

(vi) Write about energy flow in ecosystem.

[4+4+4+4+3+3]

PART-B

2. (a) What is meant by ozone shield? How CFC’s and ozone depleting substances affect ozone

shield?

(b) What is deforestation? What are the causes of deforestation?

[8+8]

3. (a) Why should public have awareness about Environmental protection acts?

(b) Write about acid rains.

(c) Write about population growth, explosion and effects.

[5+5+6]

4. “India a mega diversity nation” - Explain

[16]

5. (a) Write about EMP and EIS.

(b) What is the role of an individual in conservation of natural resources?

(c) What are man induced landslides? Explain how they can be prevented.

[4+5+7]


(a) Ecological succession

(b) Desertification

(c) Food chains and food webs.

[5+5+6]

7. (a) Mention about different types of pollution briefly.

(b) Discuss about use and over utilization of surface and ground water.

[6+10]

Page 1 of 1

Set No - 4

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*****

PART-A

1.(i) solve the D.E (1+xy)x dy +(1-yx)y dx = 0

(ii) Solve (D2+4) y = sin2x

(iii) Expand ex

cosy near (1, π/4) by Taylors series method

(iv) Find ( )0cos

tt

L e tdt−

∫

(v) Solve 2 2( )z y x qy px− = − where ,p qx y

∂ ∂= =

∂ ∂

(vi) Solve by method of separation of variables 2 3 0z z

x yx y

∂ ∂− =

∂ ∂

[4+3+4+4+4+3]

PART –B

2.(a) Find the equation of the curve satisfying the D.E ( )2 21 (2 4 ) 0x dy xy x dx+ + − = and

passing through origin

(b) Find the equation of the system of orthogonal trajectories of the family of the curves

sinn nr n aθ = , where ‘a’ is a parameter.

[8+8]

3.(a) solve the D.E ( )2 2 3 24 320( 2 )xD D y x x e+ = + +

(b) Solve the D.E 111 cos(2 1)y y x+ = − [8+8]

4.(a) Find the maximum and minimum values of 3 2 2 23 15 15 72x xy x y x− − − +

(b) If 2 2 2

2 2log( )x y z z z

z e e show thatx y x y

∂ ∂ ∂= + =

∂ ∂ ∂ ∂

[8+8]

5.(a) Solve the D.E ( )2 12 1 3 (0) 4 & (0) 2tD D te if y y+ + = = = using Laplace transform

(b) Using Convolution theorem find 1

2 2

1

(1 )L

s s

−

+ [8+8]

Page 1 of 2

Set No - 1

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6.(a) Solve the P.D.E p/x2 + q /y

2 = z , where ,p q

x y

∂ ∂= =

∂ ∂

(b) Obtain P.D.E of all spheres whose centre lies on z – axis with a given radius r.

[8+8]

7. An insulated rod of length L has its ends A and B maintained at 00c and 100

0c

respectively under steady state conditions prevail .If B is suddenly reduced to 00c and

maintained at 00c ,find the temperature at a distance x from A at time t

[16]

Page 2 of 2

Set No - 1

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*****

PART-A

1.(i) Solve the D.E dy)ey(dx)eyx2(y x3x2 +=+

(ii) Write the Equation of simple harmonic motion and find its solution

(iii) Find the relation between the functions &x x y

u vy x y

+= =

−

(iv) Find at bt

e eL

t

− − −

(v) Solve the P.D.E 2 2xp yq y x− = − where ,p qx y

∂ ∂= =

∂ ∂

(vi) Solve the 2′ where 1,D Dx y

∂ ∂= =

∂ ∂

[4+3+4+4+4+3]

PART –B

2.(a) A radioactive substance disintegrates at a rate proportional to it’s mass. When it’s mass is

10 mgm, the rate of disintegration is 0.051 mgm per day. How long will it take for the

mass to be reduced from 10 mgm to 5 mgm.

(b) Solve 3 2 (1) 2.dy

x xy if ydx

= − =

[8+8]

3.(a) solve the D.E ( )2 1 sinD y x x− =

(b) Solve the D.E 111 11 1 21y y y y x− − + = + [8+8]

4.(a) if u = f(r) and x = rcosθ, y = rsinθ then prove that 2 2

11 1

2 2

1( ) ( )

u uf r f r

x y r

∂ ∂+ = +

∂ ∂

(b) If the sum of three numbers is a constant, then prove that their product is maximum when

they are equal.

[8+8]

Page 1 of 2

Set No - 2

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5.(a) Find 1

2 2

1

(1 )

sL

s s

− +

+

(b) Using Laplace transform, Evaluate 2

0

sinate t

dtt

−∞

∫

[8+8]

6.(a) Form the partial Differential equation by elimination F(xy+z2 , x + y + z) = 0

(b) Solve the P.D.E z (z2+xy) (p x-q y) = x

4 where ,p q

x y

∂ ∂= =

∂ ∂ [8+8]

7. A string of length 100 cm is tightly stretched between x = 0 and x = 100 and is displaced

from its equilibrium positions by imparting each of its points an initial velocity given by

0 50( )

100 50 100

x if xg x

x if x

≤ ≤=

− < ≤

Then find the displacement at any subsequent time.

[16]

Page 2 of 2

Set No - 2

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*****

PART-A

1.(i) Solve the D.E ( )2 2 2 0y dx y x xy dy+ − + − =

(ii) Solve the D.E (D4+18D

2+81)y = 0

(iii) If x = r cosθ , y = r sinθ then prove that 1

&r x x

rx r r x

θ

θ

∂ ∂ ∂ ∂= =

∂ ∂ ∂ ∂

(iv) Find

+−

2

1

s

11logL

(v) Solve the P.D.E (1 )p q qz+ = where ,p qx y

∂ ∂= =

∂ ∂

(vi) Solve 3′ 4′ where 1,D Dx y

∂ ∂= =

∂ ∂

[4+3+4+4+4+3]

PART –B

2.(a) If the air temperature is 200c and the body cools for 20 min from 140

0c to 80

0c , find

when the temperature will be 350c.

(b) Solve the D.E ( )2 cot sin 2 0dr r dθ θ θ+ + =

[8+8]

3.(a) Solve the D.E ( )2 2 1 cosxD D y xe x+ + =

(b) Solve the D.E 11 12 1 xy y y e− + = +

[8+8]

4.(a) Find the dimensions of the rectangular box open at the top of the maximum capacity

whose surface area is 108 sq.inches.

(b) Show that 2 4

log(1 ) log 2 ....2 8 48

x x x xe+ = + + − + and

Hence deduce that 31

..1 2 4 48

x

x

e x x

e= + − +

+

[8+8]

5.(a) Find the Laplace transform of Dirac-Delta function

(b) Solve the D.E 111 1 111 (0) (0) (0) 0y y if y y y+ = = = = using Laplace transform

[8+8]

Page 1 of 2

Set No - 3

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6.(a) Solve the P.D.E p cos (x +y) + q sin (x + y) = z where ,p qx y

∂ ∂= =

∂ ∂

(b) Obtain P.D.E by eliminating arbitrary functions from z = f (2x+3y) + g (3x-y)

[8+8]

7. A square plate is bounded by the lines x =0, y=0, x =l, y =l. Its faces are insulated .The

temperature of along the upper horizontal edge is given by u (x. l) = x (l-x) when 0 < x< l

while other edges are kept at zero. Find the steady state temperature.

[16]

Page 2 of 2

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) Solve the D.E xy dx –(x2+2y

2)dy = 0

(ii) Find the particular integral of ( )2 1 secD x+ =

(iii) If y z u u u

u then find x y zz x x y z

∂ ∂ ∂= + + +

∂ ∂ ∂

(iv) Find [ ]t22etL −

(v) Solve 2 2 21z p q= + + where ,p qx y

∂ ∂= =

∂ ∂

(vi) Solve by method of separation of variables 54 3 (0, ) 3 y yz zz if u y e e

x y

− −∂ ∂+ = = −

∂ ∂

[4+3+3+4+4+4]

PART –B

2.(a) In a certain chemical reaction the rate of change of conversion of a substance at time t is

proportional to the quantity of the substance still untransformed at that time. At the end

of one hour 60 grams remain and at the end of four hours 21 grams. How many grams of

the first substance was there initially.

(b) Find the orthogonal trajectories of the family of hypocycloids 2 2 2

3 3 3x y a+ = , where

‘a’ is a parameter.

[8+8]

3.(a) Solve the D.E ( )4 1 cosxD y e x− =

(b) Solve the D.E 111 12 2 1 xy y y xe− + = +

[8+8]

4.(a) Find the maximum value of 2 3 4 2 3 4u x y z if x y z a= + + = by Lagrange’s multiplier

method.

(b) If x = u(1-v) and y = uv prove that ( , ) ( , )

1( , ) ( , )

u v x y

x y u v

∂ ∂× =

∂ ∂

[8+8]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


5.(a) Solve the D.E ( )2 16 9 sin (0) 1& (0) 0D D t if y y+ + = = = using Laplace transform

(b) Find the 2

1 cos tL

t

−

[8+8]

6.(a) Solve the P.D.E pqz = p2(qx+p

2)+ q

2(py+q

2) where ,p q

x y

∂ ∂= =

∂ ∂

(b) Obtain P.D.E by eliminating arbitrary constants a and b from z xy y x a b= + + +

[8+8]

7.(a) Solve ′ 3 3′ , where 1,D Dx y

∂ ∂= =

∂ ∂

(b) Find the physically feasible solution of one -dimensional heat flow equation.

[8+8]

Page 2 of 2

Set No - 4

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X

y=x Y

X (1,0)


MATHEMATICS-II (MATHEMATICAL METHODS) (Common to ECE, EEE, EIE, Bio-Tech, ECom E and Agri.E)




*****

PART-A

1.(a) Write iterative scheme to find the fourth root of 11.

(b) Find )(log xf∆ .

(c) Given 1)0(, =+=′ yyxy , find the value of y (0.4) (take h = 0.2) using Euler’s method.

(d) Find the Fourier series of the periodic function with period ‘1’

(e) If pF is complex Fourier transform of f(x), then find the complex Fourier transform of

f(x)sin ax.

(f) Prove that )(sinh ntZ = 1cosh2

sinh2 +− tzz

tz .

[4+3+4+4+4+3]

PART – B

2.(a) Using Regulae falsi method ,find the real root correct to three decimal places of the

equation 2 0.

(b) Find f(2.5) using Newton’s forward formulae for the following data:

[8+8]

3.(a) If the interval of differencing is find ∆sin

(b) Find a real root of 02xlogx 10 =−+ using Newton Raphson method.

[8+8]

4.(a) Solve 1)0(y,yxy21 =−= by using Taylor’s series method and compute 0.1.

(b) Find Half range fourier cosine series of in the range 0 2 and hence

deduce that .

[8+8]

5.(a) Obtain fourier series for the function !" , 0 2.

(b) Solve , 0 2 for 0.2 by using Runge-Kutta Method of fourth order.

[8+8]

Page 1 of 2

X 0 1 2 3 4 5

y 0 1 15 75 225 615

Set No - 1

||''''|||''|'''||''|


6.(a) Express $1 ; &' 0 ( ( 0 ; &' ) * as a Fourier integral and hence evaluate

+ ,-./00∞1 sin2 32

(b) Find inverse Z-transform of 44,4, .

[8+8]

7.(a) Solve the difference equation using Z-transform " 2 5" 1 6" 57,

given 0 0 , 1 0.

(b) Find inverse fourier transform of 8 ,|:|;.

[8+8]

Page 2 of 2

Set No - 1

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X

y=2xY

X (1,0)






*****

PART-A

1.(a) Write iterative scheme to find the nth

root of a real number K(>0).

(b) Find ).qpxsin(2 +∆

(c) Find the Fourier series of the periodic function with period ‘1’

(d) If pF is complex Fourier transform of f(x), then find the complex Fourier transform of

f(x) cos ax.

(e) Find the Z-transform of sin(n+1)x.

(f) Using Euler’s method, find the value of y(0.5) (take h = 0.25) and compare with the exact

solution of the equation .1)0(, =+=′ yyxy

[3+3+4+4+4+4]

PART – B

2.(a) Using Regula-Falsi Method, find the real root of, correct to three decimal places, the

equation xx coslog = .

(b) Find )91.1(y using Gauss forward difference formula

x 1 2 3 4 5

y 5 14.5 14 13.25 12

[8+8]

3.(a) If ,)(ax

exf = Show that axnahn

eexf )1()( −=∆ .

(b) Find the root of 025cos3 =+− xxex

near x = 4.5 (correct to three decimal places).

[8+8]

4.(a) Solve 1)0(,2 =−=′ yxyy by Picard’s method up to fourth approximation.

(b) Find a Fourier series to represent the function x

exf =)( in ππ <<− x and hence deduce

a series for π

π

sinh

[8+8]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|


5.(a) Find Half Range sine series of )()( xxxf −= π on π<< x0 and deduce that

32...

7

1

5

1

3

1

1

13

3333

π=+−+−

.

(b) Using Runge-Kutta method of 4th

order, compute y (1.1) for the equation

2.1)1(,32 =+=′ yyxy .

[8+8]

6.(a) Prove that Fourier transform of ( )]([)())( pFdp

dixfx

n

nnn −= .

(b) Find

+ )1(

1

nnZ .

[8+8]

7.(a) Solve the difference equation, using Z-transform 0)(2)1(3)2( =++++ nynyny given

.1)1(,0)0( == yy

(b) Find Fourier cosine transform of 0, >−ae

ax and hence evaluate ∫∞

+0

22

cosdp

pa

px.

[8+8]

Page 2 of 2

Set No - 2

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*****

PART-A

1.(a) Write iterative scheme to find the root of the quadratic equation < = > 0, < ? 0. (b) Prove that δ+µ=

2

1E 2/1

(c) Find the Fourier series of the periodic function (of period 2) given by

(d) If pF is complex Fourier transform of f(x), then find the complex Fourier transform of

f(x) sin ax.

(e) Given 1)0(, =+=′ yyxy , find the value of y(0.4) using Picard’s method up to second

degree term.

(f) Find the Z-transform of cos(n+1)x.

[3+3+4+4+4+4]

PART – B

2.(a) Using Regula Falsi method solve the equation !" 1.

(b) Using Lagrange’s interpolation formula find 10 from the data given below:

[8+8]

3.(a) Prove that @∆ ∆ @ A.

(b) Find approximate root of the equation 8 4 0 near 3.

[8+8]

4.(a) Given ;,;D , 0 1 compute 0.2 in steps of 0.1 using modified Euler’s

method.

(b) If || expand as fourier series in the interval2,2. [8+8]

Page 1 of 2

X 5 6 9 11

y 12 13 14 15

Y

y=x2

X

(2,0)

Set No - 3

||''''|||''|'''||''|


5.(a) If E ; ! 0 ; ! * Find Half range sine series of . (b) Using Runge-Kutta method of fourth order, compute 2.5 for the equation

D; , 2 2.

[8+8]

6.(a) Find Fourier transform of ,|| and hence deduce that + FGHIDI∞1 3J ,||. (b) Evaluate K, L 4

4,4,MN [8+8]

7.(a) Find finite Fourier cosine transform of O1 P in 0, . (b) Using Z-transform, solve the difference equation 7D 57D 67 27 using

1 0, 0. [8+8]

Page 2 of 2

Set No - 3

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*****

PART-A

1.(a) Using Newton-Raphson method find the reciprocal of a number.

(b) Express shift operator E in terms of exponential function.

(c) Find half range Fourier sine series of f(x) = ex in (0, 1).

(d) Using Euler’s method, solve for y at x = 2 from 13 2 += xdx

dy, y(1) = 2.

(e) If pF is complex Fourier transform of f(x), then find the complex Fourier transform of

f(x) sin ax.

(f) Find the Z [ n2an ].

[3+3+4+4+4+4]

PART–B

2.(a) Using Regulae falsi method find approximate root of the equation 4 0 .

(b) Find 3.5 using Newton’s forward interpolation formula for the data :

X 0 1 2 3 4 5

y 0 1 12 60 150 225

[8+8]

3.(a) Prove that 1 ∆1 @ 1.

(b) Using Newton Raphson method compute R37 correct to four decimal places.

[8+8]

4.(a) Using Euler’s method solve , 0 1 for 0.2 and 0.4 , Check with

exact solution.

(b) Expand T1 ; ! ( ( 01 ; ! 0 ( ( * as a fourier series and hence deduce that

.

[8+8]

5.(a) Obtain fourier cosine series for !" ; 0 .

(b) Using Runge-Kutta method of fourth order find 0.4 for the differential equation , 0 0 use U 0.2

[8+8]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


6.(a) Express V1 ; 0 ( ( 0 ; ) * as a fourier sine integral and hence evaluate

+ ,FGH00∞1 sin 2 32.

(b) Find K L2" 5 sin 7πM 3<MN. [8+8]

7.(a) Find the solution of the difference equation using Z-transform 7D 67D 97 37

with 1 0 , 1.

(b) Find fourier transform of $1 ; || ( 1 0 ; || ) 1 * [8+8]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


PROFESSIONAL ETHICS & HUMAN VALUES (Common to ECE, EEE, EIE, Bio-Tech, EComE & Agri.E)




*****

PART-A

1.(i) Write a brief account on ‘Autonomous computers’.

(ii) ‘Codes provide a positive stimulus for ethical conduct’- explain.

(iii) How courage is considered as virtue?

(iv) What are the issues related to cross-culture?

(v) Explain types of inquiry.

(vi) Write about risk- benefit analysis. Explain with an example.

(vii) What is conflict of interest?

[3+3+3+3+3+3+4]

PART-B

2. Explain the salient features of Indian patent act 1970. What are its objectives?

[16]

3. Write about-

(a) Threshold Levels for Risk.

(b) Liability

[8+8]

4. Write about


(b) Professional Ethics.

[8+8]

5. (a) What is the importance of collegiality?

(b) Write about two sences of Loyalty. Does Loyalty affects professionalism?

[8+8]

6. What are the general features of morally responsible engineers? Explain each feature with

appropriate examples.

[16]

7. Write a note on –

(a) Integrity

(b) Self- respect

[8+8]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) Explain what is meant by authenticity.

(ii) What are values? Explain how values have changed over a period of time.

(iii) Explain the meaning of moral leader ship.

(iv) Write about types of inquiry.

(v) Discuss the need to focus on professional ethics. Why are they essential to a person in

any profession.

(vi) What is conscientiousness?

(vii) List the moral rights of a salaried engineer. What are his responsibilities?

[3+3+3+3+3+3+4]

PART-B

2. What is institutional authority? How do you correlate institutional authority, expert authority

and power?

[16]

3. Discuss the qualities of an engineer in order to be a responsible experimenter.

[16]

4. Write briefly about

(a) ‘Honesty is the best policy’

(b) Living peace fully

(c) Civic virtue

(d) Integrity.

[4+4+4+4]

5. Write about-

(a) Computer ethics.

(b) Consulting engineering.

[8+8]

6. (a) Explain Gilligan’s stage theory of moral development.

(b) Write about the types of inquiry.

[8+8]

7. Write about

(a) Safety and engineer

(b) Risk benefit analysis.

[8+8]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) How can risks be reduced? Explain.

(ii) Explain the essence of Indian Spirituality.

(iii) Give an account of the History of Ethics.

(iv) What is meant by globalization? What are its advantages?

(v) Write short notes on industrial standard.

(vi) What is meant by obligations of loyalty?

(vii) Explain the term Accountability.

[3+3+3+3+3+3+4]

PART-B

2. (a) What are the types of Accidents? Give the details.

(b) Write about the importance of the designing for safety.

[8+8]

3. Define and explain personal ethics and professional ethics.

[16]

4. Write a short note on-

(a) Weapon development.

(b) Autonomous computers.

[8+8]

5. Elaborate your views on ‘Engineering as social experimentation’

[16]

6. Explain the levels of moral development as suggested by Kohlberg. What is Gilligan’s

argument? Make a comparative study.

[16]

7. Write about-

(a) Ethical Egoism.

(b) Collective Bargaining.

[8+8]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) What is meant by Ethical – Egoism?

(ii) Write about fundamental values.

(iii) Distinguish between profession and professionalism.

(iv) Explain what happens if the judgment about the risk is incorrect?

(v) State the benefits of collective bargaining.

(vi) What is the role played by experimentation in the design process?

(vii) What are the responsibilities of the engineers as managers?

[3+3+3+3+3+3+4]

PART-B

2. State and explain any two major accidents. List out the causes and suggest the safety

measures.

[16]

3. Explain in detail -

(a) Peace

(b) Non violence

(c) Right conduct

(d) Respect for others

[4+4+4+4]

4. (a) Explain the necessity that engineers must be the guardians of public interest.

(b) Can knowledge be gained by the study of engineering projects? Discuss.

[8+8]

5. (a) Explain in detail the essence of Kohlberg’s theory.

(b) Write about the types of inquiry.

[8+8]

6. (a) Explain the meaning of ‘accountability’.

(b) Write short note on ‘Industrial standards’.

[8+8]

7. Define and explain-

(a) Privileged information.

(b) Proprietary information

[8+8]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|

Subject Code: R13105/R13 I B. Tech I Semester Supplementary Examinations Sept. - 2014





*****

PART-A

1.(i) Differentiate between variable and constant?

(ii) Write program to find whether the given no is Armstrong or not.

(iii) Write short notes on storage classes.

(iv) Write a program to swap two numbers using pointers.

(v) Discuss about shift operator with example.

(vi) Write a program to read a text file and count the no of blanks in the text file.

[3+4+4+4+3+4]

PART- B

2.(a) What are the steps involved in program development process? Explain.

(b) Discuss about the relational and logical operators.

[8+8]

3.(a) What is Array? Discuss about the initialization and accessing of array elements for 1D

and 2D arrays.

(b) Write a program to check whether the given string is palindrome or not.

[8+8]

4.(a) What is recursion? How it is implemented? Explain with example.

(b) Write a c program for Tower’s of Hanoi using recursion.

[8+8]

5.(a) How to define and initialize structures? How to access structure elements?

(b) Discuss about the enum data type with example.

[8+8]

6.(a) Differentiate between binary and text file?

(b) Write a program to copy contents of one file to another file.

[8+8]

7.(a) Explain about the procedure for creating and running programs.

(b) Discuss about standard library functions with examples.

[8+8]

Page 1 of 1

Set No - 1

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*****

PART-A

1.(i) Is there any difference between pre increment and post increment? Explain with

examples?

(ii) Write program to check the symmetricity of a Matrix.

(iii) Write short notes on parameter passing mechanisms.

(iv) What is dangling memory? Explain.

(v) What are self referential structures? Explain.

(vi) Write a program to read a text file and Print the first character in each word into upper

case.

[4+4+4+3+3+4]

PART- B

2.(a) Discuss about different computer languages with examples.

(b) Draw flow chart for finding facts for a given number.

[8+8]

3.(a) Differentiate between else-if and switch? Explain with an example.

(b) write a c program for matrix multiplication with sufficient conditions.

[8+8]

4.(a) Explain about the different ways of creating functions with examples.

(b) Write a c program to print Fibonacci series using recursion. [8+8]

5.(a) What is the need of nested structures? Explain with one example.

(b) Write a program to display student details using pointers to structure.

[8+8]

6.(a) Discuss about formatted I/O with suitable examples.

(b) Write a program to merge two files into single file.

[8+8]

7.(a) Explain about user defined functions. How they are different from library functions?

(b) Write a program to sort a list of elements and trace with an example.

[8+8]

Page 1 of 1

Set No - 2

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*****

PART-A

1.(i) Explain about the precedence rules with examples.

(ii) Write a program to find second smallest element in the given array.

(iii) Write a program to print factorial of a given number using recursion.

(iv) What is dynamic memory allocation? Explain.

(v) Explain about the nested structures.

(vi) Write a program to find whether the given string present in the main string or not.

[4+4+3+4+3+4]

PART- B

2.(a) Write the structure of the C Program.

(b) Draw a flow chart for the prime number program.

[8+8]

3.(a) What is an array? How to initialize 1D and 2D arrays? Discuss about the advantages and

disadvantages of arrays.

(b) Write a C program to print pascal triangle.

[8+8]

4.(a) Explain about different parameter passing mechanisms with examples.

(b) Write C program’s for swapping of 2 numbers using different parameter passing

mechanisms

[8+8]

5.(a) Is there any difference between structure and Union? If Yes, Explain.

(b) How structure elements are passed to function arguments? Discuss with an example.

[8+8]

6.(a) Discuss about file I/O operations.

(b) Write a program to replace the given word with CPROG in a given file.

[8+8]

7.(a) Discuss about header files and C Preprocessor.

(b) Write a program to sort given numbers using arrays.

[8+8]

Page 1 of 1

Set No - 3

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*****

PART-A

1.(i) What is meant by type casting? Explain.

(ii) Explain about break and continue with an example.

(iii) Write a program to find GCD of 2 numbers using functions.

(iv) Write a program to find whether the given no is Armstrong number or not using


(v) Differentiate between structure and union?

(vi) Write a program to read a text file and print frequency count of the given word.

[4+4+3+4+3+4]

PART- B

2.(a) What is flow chart? Draw the flow chart for the biggest number among 3 numbers.

(b) Write a C program that illustrates the conditional operator

[8+8]

3.(a) How to initialize strings? Explain about various string handling functions.

(b) Write a program to print the given string in reverse order.

[8+8]

4.(a) What is pointer? Discuss about pointers to pointers with examples.

(b) Write a program to insert and delete an element from the given array.

[8+8]

5.(a) What are self referential structures? Explain with one example.

(b) Write a C Program to calculate grade, average marks and Total marks in a class of 60

Students.

[8+8]

6.(a) What is a file and what are different type of files? Explain.

(b) Write a program to copy one file into another file.

[8+8]

7.(a) Explain about different storage classes with examples.

(b) Write a program to check whether the given element is there in the array or not.

[8+8]

Page 1 of 1

Set No - 4

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*****

PART-A

1.(i) Write notes on

(a) Zeigler-Natta polymerization

(b) proper design to protect corrosion

(c) deterioration of cement concrete

(ii) Explain the principle involved in potentiometric titrations with examples.

(iii) A water sample on analysis gives the following analysis in mg/L:

MgSO4 = 12; Ca(HCO3)2 = 8.1; CaSO4 = 16.3; Mg(HCO3)2 = 14.6;, NaCl = 5.6. Calculate

in quantities (in Kgs) of lime and soda required to soften 10,000 litres of this water. Also

calculate temporary and permanent hardness of water

[12+3+7]

PART-B

2.(a) Discuss the permutit process of softening of hard water with a neat sketch.

(b) Define Kohlraush Law and explain its applications.

(c) Write a note on cathodic protection.

[8+4+4]

3.(a) Explain with a neat sketch Bergius process for the synthesis of gasoline.

(b) How is BUNA – S prepared? Write any 2 uses and properties of it.

(c) Discuss the types of liquid crystals.

[8+4+4]

4.(a) Discuss the compounding of rubber.

(b) Discuss paints and their constituents and functions.

(c) Explain the working of glass electrode with a neat diagram.

[8+4+4]

5.(a) Describe chemical vapour deposition method and arc discharge method in preparation of

carbon nanotubes.

(b) Write notes on (i) octane and cetane numbers (ii) sterilization of water.

[8+8]

6.(a) Describe the working of lead acid battery with reactions involving in it.

(b) What are scales and sludges? How can they be minimized?

(c) A sample of coal was found to contain 85 % C, 7% H, 3% O, 2.5% S and remaining ash.

Find its gross and net calorific values. Latent heat of condensation of steam: 580 cal./gram.

[8+4+4]

7.(a) Discuss the factors affecting the rate of corrosion of a metal.

(b) Discuss the mechanism of free radical polymerization.

(c) Write notes on solar cells.

[8+4+4]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) Write notes on

(a) reversible and irreversible galvanic cells (b) Pilling-Bedworth rule

(c) Kevlar (d) glass transition temperature of polymers

(ii) A water sample contains Ca(HCO3)2 = 35 mg/L; Mg(HCO3)2 = 26 mg/L; CaSO4 = 13.5

mg/L; MgSO4 = 14 mg/L. Calculate temporary and permanent hardness of water.

(iii) A sample of coal was found to have the following percentage composition: C = 78%,

H = 6%, O = 11 %, N = 2%, and remaining is ash. Calculate the minimum air required for

complete combustion of 1 Kg of coal. Calculate the HCV and LCV of coal sample. Latent

heat of condensation of steam: 580 cal./gram.

[12+4+6]

PART-B

2.(a) Describe with neat diagram the working of ion-exchange process.

(b) Explain the working of a fuel cell with a neat sketch.

(c) Discuss the chemical conversion coatings.

[8+4+4]

3.(a) Explain with a neat sketch fluid bed catalytic cracking to produce gasoline.

(b) Write notes on (i) mechanical properties of polymers (ii) green house effect

[8+8]

4.(a) Discuss on any 2 moulding techniques of plastics.

(b) The equivalent conductance values of 0.05 M (at 250C) NaCl, NH4Cl, NaOH and NH4OH

are 124, 159.7, 235.8 and 10.56 mhocm2equiv

-1 respectively. Calculate the dissociation

constant of NH4OH.

(c) Write notes on passivity of a metal to corrosion.

[8+4+4]

5.(a) Explain phase transfer method and aqeous phase method of green synthesis with examples.

(b) Discuss (i) thermal cracking (ii) caustic embrittlement

[8+8]

6.(a) Discuss the conductometric titrations.

(b) Explain cold lime soda process.

(c) What is knocking? What are antiknocking agents?

[8+4+4]

7.(a) Explain wet theory of corrosion with neat sketches.

(b) How is Thiokol prepared? Mention its properties and uses.

(c) Write notes on fullerenes.

[8+4+4]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) Write notes on (a) knocking and antiknocking (b) photovoltaic cells (c) mechanism of

anionic polymerization

(ii) Calculate the temporary and permanent hardness of water containing Ca (HCO3)2 = 162

ppm, Mg(HCO3)2 = 146 ppm, MgCl2 = 95 ppm, CaSO4 = 68 ppm, NaCl = 125 ppm.

(iii) The standard oxidation potential of Cd/Cd2+

electrode is 0.403 V. Calculate the Cd2+

concentration if the electrode oxidation potential is 0.5 V at 25 0C.

(iv) Differentiate between tinning and galvanizing.

[12+3+5+2]

PART-B

2.(a) With a neat sketch explain the working of (i) reverse osmosis and (ii) lime soda process

(b) Explain the working of lead acid battery.

(c) Write notes on differential aeration corrosion.

[8+4+4]

3.(a) Describe fractional distillation of crude oil. Write the various fractions obtained at different

boiling ranges and their uses.

(b) How is polyvinyl chloride prepared? Give its uses and properties.

(c) Discuss any one method of green synthesis.

[8+4+4]

4.(a) Discuss compounding of plastics giving examples for each.

(b) Write notes on bimetallic corrosion and stress corrosion.

(c) Explain standard electrode potential.

[8+4+4]

5.(a) Write notes on (i) fullerenes (ii) green house effect

(b) A sample of coal containing 93% C; 5% H and remaining ash. When this coal was tested in

the laboratory for its calorific value in bomb calorimeter, the following data was obtained.

Weight of coal burnt = 0.95g, Weight of water taken = 650g, Water equivalent of bomb and

calorimeter = 2,000 g, Rise in temperature = 2.480C, Cooling correction temperature =

0.020C, Fuse wire correction = 10.0 cal, Acid correction = 50.0 cal. Calculate the net and

gross calorific value of coal in cal/g. Assume latent of heat of condensation = 580 cal per

gram.

(c) Discuss internal treatment of hard water.

[8+4+4]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|


6.(a) Explain the working of calomel electrode and glass electrode with neat sketches.

(b) What is the principle of EDTA titration? Briefly describe the estimation of hardness of

water by EDTA method.

(c) Mention the characteristics of a good fuel.

[8+4+4]

7.(a) What is corrosion? Discuss the theory of dry corrosion.

(b) How are Aramid-reinforced plastic prepared? What are its uses and properties?

(c) What are the drawbacks of rubber? How is rubber vulcanized?

[8+4+4]

Page 2 of 2

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) Describe the Orsat process for estimation of flue gases with a neat sketch.

(ii) A water sample on analysis gives the following in ppm:

MgSO4 = 32; Ca(HCO3)2 = 23; CaSO4 = 20, Mg(HCO3)2 = 21, NaCl = 4. Calculate the

quantities (in Kgs) of lime and soda required to soften 10,000 litres of this water.

(iii) Discuss (a) differential aeration corrosion (b) galvanic cells (c) stereoregular polymers

[8+5+9]

PART-B

2.(a) Discuss any one external treatment of hard water.

(b) Describe galvanizing process with neat sketch.

(c) Calculate the emf of the cell at 250C

(Pt)/H2 (1 atm) / HCl (0.1M) // AgCl, Ag. Given the standard emf of the cell is 0.223V

[8+4+4]

3.(a) Discuss proximate analysis and its significance.

(b) Mention the principles of green chemistry.

(c) How are crepe and smoked rubbers obtained from natural rubber.

[8+4+4]

4.(a) Explain with neat sketches injection and extrusion moulding techniques.

(b) Discuss electroplating of metals with example.

(c) Define specific and equivalent conductivities. How do specific and equivalent conductivity

of an electrolyte vary with dilution.

[8+4+4]

5.(a) Write the engineering applications of carbon nanotubes. Mention the properties of

fullerenes.

(b) Write notes on break point chlorination.

(c) Discuss with a neat sketch Fischer-Tropsch method to produce gasoline.

[8+4+4]

6.(a) Explain the working of glass electrode and fuel cell with neat sketches.

(b) A gas has the following composition by volume: H2 = 36%, CH4 = 12%, O2 = 14%,

N2 = 38%. If 20 % excess of air is used, find the weight of air actually supplied per m3 of

this gas.

(c) Write notes on phosphate and calgon conditioning of water.

[8+4+4]

7.(a) Discuss any THREE of the following

(i) cladding (ii) phosphate coatings

(iii) chromate coatings (iv) anodizing

(b) Write notes on

(a) photovoltaic cells (b) mechanism of cationic polymerization

[8+8]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(a) Draw front view and top view from the following isometric view.

(Note: All dimensions are in mm)

(b) The major and minor axis of an ellipse are 120mm and 80mm. Construct an ellipse using

arcs of circles method?

[12+10]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


2.(a) Construct a regular heptagon of side 35 mm using general method?

(b) Draw a vernier scale of R.F = 1/25 to read centimeters upto

representing 2.39m and 0.91m.

3.(a) A point P is 50mm from both the reference planes. Draw its projections in all possible

positions.

(b) A 100mm long line is parallel to and 40mm above

50mm in front of the V.P. respectively. Draw its projections and find its inclination with

the V.P.

4. Draw the projections of line AB, 90mm long ,

H.P and 40mm in front of the V.P . The end A is 20mm above the H.P and 10mm in front

of the V.P. Show the traces and the inclinations of the line with the H.P and the V.P.

5. Draw the projections of a regular h

H.P and inclined at 60 degrees to the V.P, and its surface making an angle of 45 degree

with the H.P.

6. Draw the projections of a pentagonal prism, base 25mm side axis 50mm long, resting on

one of its rectangular faces on the H

7. Draw the isometric view of the following orthographic projections?

(Note: All dimensions are in mm

Subject Code: R13109/R13 PART-B

Construct a regular heptagon of side 35 mm using general method?

scale of R.F = 1/25 to read centimeters upto 4m and on it , show lengths

resenting 2.39m and 0.91m.?

A point P is 50mm from both the reference planes. Draw its projections in all possible

A 100mm long line is parallel to and 40mm above the H.P. Its two ends are 25


Draw the projections of line AB, 90mm long , its mind point M being 50mm above the



Draw the projections of a regular hexagon of 25mm side, having one of its sides in the


Draw the projections of a pentagonal prism, base 25mm side axis 50mm long, resting on

its rectangular faces on the H.P, with the axis inclined at 45 degrees to the V.P.

Draw the isometric view of the following orthographic projections?

Note: All dimensions are in mm)

Page 2 of 2

4m and on it , show lengths

[4+12]

A point P is 50mm from both the reference planes. Draw its projections in all possible

Its two ends are 25mm and


[8+8]

its mind point M being 50mm above the



[16]

exagon of 25mm side, having one of its sides in the


[16]

Draw the projections of a pentagonal prism, base 25mm side axis 50mm long, resting on

degrees to the V.P.?

[16]

[16]

Set No - 1

||''''|||''|'''||''|







1.(a) Draw isometric view from the foll

(Note: All dimensions are in

(b) The major and minor axis of an ellipse are 120mm and 80mm. Construct an ell

oblong method.

2. Construct a diagonal scale of 3:200 showing

measure up to 6 meters?

3.(a) A point P is 20mm below H.P. and lies in the third quadrant. Its shortest distance from

xy is 40mm. Draw its projections?

(b) A 90 mm long line is parallel to and

the H.P., while the other is 50mm above the H.P. Draw its projections and find its

inclination with the H.P.

Subject Code: R13109/R13 I B. Tech I Semester Supplementary Examinations Sept.

ENGINEERING DRAWING Common to ECE, EEE, EIE, Bio-Tech, EComE, Agri.E)




*****

PART-A

Draw isometric view from the following orthographic views.

Note: All dimensions are in mm)

The major and minor axis of an ellipse are 120mm and 80mm. Construct an ell

PART-B

Construct a diagonal scale of 3:200 showing meters, decimeters and centimeter

A point P is 20mm below H.P. and lies in the third quadrant. Its shortest distance from

m. Draw its projections?

A 90 mm long line is parallel to and 25mm from in front of the V.P. Its one end is in


Page 1 of 2

- 2014


The major and minor axis of an ellipse are 120mm and 80mm. Construct an ellipse using

[12+10]

meters, decimeters and centimeters and to

[16]

A point P is 20mm below H.P. and lies in the third quadrant. Its shortest distance from

25mm from in front of the V.P. Its one end is in


[6+10]

Set No - 2

||''''|||''|'''||''|


4. A line AB of 70mm long, has its ends A 20mm above H.P. and 15mm in front of V.P.

The line is inclined at 30 degrees to H.P. and 60 degrees to V.P. Draw its projections.

[16]

5. A semi-circular plate of 80mm diameter has its straight edge in V.P. and inclined at 45

degrees to the H.P. The surface of the plate makes an angle of 30 degrees with the V.P.


[16]

6. Draw the projections of a hexagonal prism of base 25mm side and axis 60mm long,

when it is resting on one of its corners of the base on H.P. The axis of the solid is

inclined at 45 degrees to H.P.

[16]

7. Draw front view, top view and side view from the following isometric view.


[16]

Page 2 of 2

Set No - 2

||''''|||''|'''||''|







1.(a) Draw the isometric projection of the following orthographic views?

(b) A pentagonal pyramid of base 25mm side and axis 60mm long,

the base. Draw the projections of the pyramid, when its axis is perpendicular to V.P. and

the base is at 15mm from V.P.

2. Construct a diagonal scale of R.F.=1/32 showing yards, feet and inches and to measure

up to 4 yards.

3.(a) A point A is 2.5 cm above the H

(b) The top view of a 75mm long line measures 5

being 25mm above the H.P.

4. A line AB of 90mm long, is inclined at 45 degrees to H.P. and its top view makes an

angle of 60 degrees with xy. The end A is on H.P. and 12mm in front of V.P. Draw its

projections and find its inclination with V.P.






*****

PART-A

Draw the isometric projection of the following orthographic views?

A pentagonal pyramid of base 25mm side and axis 60mm long, is resting on an edge of


base is at 15mm from V.P.

PART-B

Construct a diagonal scale of R.F.=1/32 showing yards, feet and inches and to measure

A point A is 2.5 cm above the H.P. and 3cm in front of V.P. Draw its projections.

The top view of a 75mm long line measures 55mm. The line is in the V.P.,

being 25mm above the H.P. Draw its projections.?

A line AB of 90mm long, is inclined at 45 degrees to H.P. and its top view makes an


projections and find its inclination with V.P.?

Page 1 of 2

- 2014


is resting on an edge of


[11+11]

Construct a diagonal scale of R.F.=1/32 showing yards, feet and inches and to measure

[16]


5mm. The line is in the V.P., its one end

[6+10]

A line AB of 90mm long, is inclined at 45 degrees to H.P. and its top view makes an


[16]

Set No - 3

||''''|||''|'''||''|


5. Draw the projections of a regular pentagon of 40mm side , having its surface inclined to

at 30degrees to the H.P and a side parallel to the H.P. is inclined at an angle of 60 degrees

to the V.P.?

[16]

6. Draw the projections of a cylinder 75mm diameter and 100mm long, lying on the ground

with its axis inclined at 30 degrees to the V.P. and parallel to the ground.

[16]

7. Draw front view, top view and side view from the following isometric view.


[16]

Page 2 of 2

Set No - 3

||''''|||''|'''||''|







1.(a) Draw the projections of a circle of 60mm diameter, resting on V.P. on a point on the

circumference. The plane is inclined at 45 degrees to V.P. and perpendicular to H.P.

The center of the plane is 40mm above H.P.

(b) Draw the Front view and top view of the following pictorial projection?

2. Construct a diagonal scale of R.F.=1/4000 to show meters and long enough to measure

up to 500 meters.

3.(a) A point B is 2 cm below the H.P. and 3cm behind the V.P. Dr

(b) The front view of a line, inclined at 30 degrees to the V.P. is 65mm long. Draw the

projections of the line, when it is parallel to and 40mm above the H.P., its one end being

30mm in front of the V.P.






*****

PART-A

Draw the projections of a circle of 60mm diameter, resting on V.P. on a point on the


e plane is 40mm above H.P.

and top view of the following pictorial projection?

PART-B

Construct a diagonal scale of R.F.=1/4000 to show meters and long enough to measure

A point B is 2 cm below the H.P. and 3cm behind the V.P. Draw its projections.

The front view of a line, inclined at 30 degrees to the V.P. is 65mm long. Draw the


30mm in front of the V.P.?

Page 1 of 2

- 2014


Draw the projections of a circle of 60mm diameter, resting on V.P. on a point on the


[12+10]

Construct a diagonal scale of R.F.=1/4000 to show meters and long enough to measure

[16]

aw its projections.

The front view of a line, inclined at 30 degrees to the V.P. is 65mm long. Draw the


[6+10]

Set No - 4

||''''|||''|'''||''|


4. A line AB of 80mm long, has its end A, 15mm from both H.P. and V.P. The other end B

is 40mm above H.P. and 50mm in front of V.P. Draw the projections of the line and

determine the inclinations of the line with H.P. and V.P.

[16]

5. Draw the projections of rhombus having diagonals 125mm and 50mm long , the smaller

diagonal of which is parallel to both the principle planes, while the other is inclined at 30

degrees to the H.P.

[16]

6. Draw the projections of a cone, base 45mm diameter and axis 50mm long, when it is

resting on the ground on a point on its base circle with the axis making an angle of 30

degrees with the H.P. and parallel to V.P.

[16]

7. Draw isometric view from the following orthographic views.


[16]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(i) Define coplanar, non concurrent forces and coplanar concurrent forces.

(ii) State the conditions for equilibrium of a rigid body in three dimensions.

(iii) Locate the centriod of a T-section of flange 7cm x 2 cm and web 7 cm x 3 cm.

(iv) Define mathematically the radius of gyration of an area about the centriodal axis.

(v) What is polar moment of inertia and product of inertia?

(vi) A 500 kg block rests on a horizontal plane. Find the acceleration of the block if 2500N

force is applied as shown in the figure.1 Take coefficient of friction as 0.22.

Figure.1

[3+2+5+4+4+4]

PART-B

2.(a) A body of weight 400N is pulled up along an inclined plane having an inclination 30

0 to

the horizontal .If the coefficient of friction between the body and the plane is 0.3 and the

force is applied parallel to the inclined plane, find the force required. Find also the work

done on the body if the distance travelled by the body is 10m along the plane.

(b) State and derive the impulse momentum principle.

[10+6]

3.(a) A vertical boom AE is supported by three wires AB,AC and AD where these are

anchored at points B,C and D respectively. The height of the peak point of the boom is

12m from the ground. If the tensile force in wire AD is 252N.Determine the forces in

the wires AC and AB so that the resultant force on A is vertical. Consider the coordinates

as A(0,12,0), B(0,0,-9),C(-4,0,3) and D (6,0,4)

(b) Define the terms moment of inertia and projectile.

[12+4]

Page 1 of 3

Set No - 1

||''''|||''|'''||''|


4.(a) Locate the centriod for the shaded area as shown in figure.2

Figure.2

(b) Find the Mass Moment of inertia of a rectangular lamina

[12+4]

5.(a) An aeroplane is flying horizontally at a height of 900m.A bomb is released from the

aeroplane when the speed of aeroplane is 700kmph. Determine the time required for the

bomb to reach the ground and the horizontal distance travelled by the bomb during flight

(b) State laws of friction.

[12+4]

6.(a) Two blocks shown in figure.3 below are originally at rest. Determine (i) the acceleration

of each block (ii) tension in cables. Assume the effect of friction in the pulleys, between

the blocks and inclines as negligible. Mass of the pulley can also be neglected.

Figure.3

(b) State and prove Pappus theorem-I.

[12+4]

Page 2 of 3

Set No - 1

||''''|||''|'''||''|


7.(a) Two forces of magnitude 340N and 300N are acting at a point O .If the angle between the

forces is 600, determine the magnitude of the resultant force. Also, find the direction of

the resultant with the horizontal force.

(b) A ball of mass 100gmis moving towards a bat with a velocity of 25m/s as shown in the

figure.4. When hit by the bat, the ball attains a velocity of 35m/s. If the ball and bat are in

contact for a period of 0.02 sec, determine the average impulse force exerted by the bat

on the ball during the impact.

Figure.4

[6+10]

Page 3 of 3

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) State and prove Varignon’s principle.

(ii) Define Free Body Diagram. Draw F.B.D for a body of weight W placed on a table.

(iii) Derive an expression for C.G of a plane area using method of moments.

(iv) Differentiate between Area Moment of Inertia and Mass Moment of Inertia

(v) A body is rotating with an angular velocity of 6 radians/sec. After 5 seconds the angular

velocity of the body becomes 14 radians/sec. Determine the angular acceleration of the

body.

(vi) What are the units of work? What is the relation between work done and power?

[3+3+4+4+4+4]

PART-B

2.(a) A mass of12kg travelling to the right with a speed of 8m/sec collides with another mass

of 20kg travelling to the left with a speed of 25m/s. If the coefficient of restitution is 0.60,

find the velocities of the particles after collision and loss of kinetic energy. What is the

impulse acting on either particle during impact?

(b) What is the principle of transmissibility?

[12+4]

3.(a) Determine the centroid of the shaded area shown in the figure.1

Figure.1

(b) Derive the mass moment of inertia of a right circular cone with respect to an access

through the apex of the cone and perpendicular to its longitudinal axis.

[8+8]

Page 1 of 2

Set No - 2

100

||''''|||''|'''||''|


4.(a) A stone is thrown vertically upwards at a point on a bridge located 40m above the water.

If it strikes the water after 4sec determine the speed at which the stone was thrown up.

(b) Two cylinders of diameters 30cm and 80cm weighing 60N and 220N respectively are

placed as shown in figure.2, assuming all the contact surfaces to be smooth. Find the

reactions.

Figure.2

[8+8]

5.(a) A block weighing 1000N is kept on a rough plane inclined at 400 to the horizontal The

coefficient of friction between the block and the plane is 0.4. Determine the smallest

force inclined at 150 to the plane required just to move the block up the plane.

(b) State the impulse –momentum principle

[12+4]

6. A block and pulley system is shown in the figure.3. The pulley is friction less. Find the

tension in the cable and the velocity of 50kg block after it has moved a distance of 1.5m

when the system starts from rest. Neglect the mass of the pulley. Take the coefficient of

kinetic friction between the blocks and plane as 0.25. Use the principle of work and

energy.

Figure.3

[16]

7.(a) Prove that moment of inertia of a triangular section about the base of the section is

bh3/12.

(b) Derive the relation between angular velocity and linear velocity.

[8+8]

Page 2 of 2

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) State triangular law of forces.

(ii) State and prove parallel axis theorem

(iii) State any two laws of friction.

(iv) A particle moves along the x-axis and its position is expressed as x = 3.5 t3-7t

2, where x

is in metres and t is in seconds. Determine the displacement during three seconds.

(v) Define coefficient of restitution.

(vi) Find the centre of gravity of a quarter circle.

[2+5+2+3+4+2+4]

PART-B

2.(a) Find the mass moment of inertia of T-section shown in the figure.1,about x-x axis passing

through its centroid.

Figure.1

(b) The motion of a particle is given by the relation x = 4t3-20t

2+20t +8. When does the

velocity of the particle become zero?

[10+6]

3.(a) A block of wood of weight 1200N is placed on a smooth inclined plane which makes an

angle 300 with the horizontal. Find the work done in pulling the block up for a length of

8m.

Page 1 of 3

Set No - 3

||''''|||''|'''||''|


3.(b) Determine the centriod of the shaded area as shown in figure.2.

Figure.2

[8+8]

4.(a) Write short notes on (i) cone of friction (ii) Angle of repose (iii) Angle of friction

(b) State and prove Varignon’s Theorem

(c) Define projectile.

[9+5+2]

5.(a) Define (i) coefficient of restitution (ii) work-energy principle for the body under

translation.

(b) Two cylinders of diameters 25cm and 60cm weighing 50N and 180N respectively are

placed as shown in the figure.3, assuming all the contact surfaces to be smooth. Find the

reactions.

Figure.3

[6+10]

Page 2 of 3

Set No - 3

||''''|||''|'''||''|


6. Two blocks shown in the figure.4, start from rest. Determine the acceleration of each and

the tension in each chord. Assume that horizontal plane and pulley are frictionless and the

pulley is of negligible mass.

Figure.4

[16]

7.(a) From the top of a tower of height 70m,a bullet is fired at an angle of 600

with the

horizontal with a velocity of 120m/s. Calculate the maximum height attained by the

bullet and the time interval

(b) Determine the centroid of the arc of the circle.

[10+6]

Page 3 of 3

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) Which theorem is used for the equilibrium of a particle applied with the system of

concurrent coplanar forces.

(ii) With the help of a simple example illustrate and define F.B.D

(iii) Distinguish between rectilinear motion and curvilinear motion.

(iv) State the laws of static friction

(v) State the principle of work energy

(vi) Locate the centroid of a right angled triangle.

[3+4+4+3+4+4]

PART-B

2. Determine the moment of inertia about its horizontal axis for the plane section as shown

in figure.1.

Figure.1

[16]

3.(a) Derive an equation for the path traced by a projectile when projected into space with a

velocity ‘u’ at an angle ‘α’ with the horizontal.

(b) State and prove parallel axis theorem.

[8+8]

4.(a) A bullet of mass 30 gm is fired into a body of mass 10kg, which is suspended by a string

0.8m long. The bullet gets embedded in the body and due to the impact, the body swings

through an angle of 300. Find the velocity of the bullet.

Page 1 of 2

Set No - 4

||''''|||''|'''||''|


4.(b) Locate the centroid for the area shown in the figure.2

Figure.2

[8+8]

5.(a) A system of four forces acting on a body is shown in the figure.3. Determine resultant

force and its direction.

Figure.3

(b) A block weighing 1200N is kept on a rough plane inclined at 300 to the horizontal, The

coefficient of friction between the block and the plane is 0.3. Determine the smallest

force inclined at 200 to the plane required just to move the block up the plane.

[4+12]

6.(a) For a pulley of diameter 2m, an = 4m/s2 and αt = 9.17 rad/s

2, find the total acceleration.


[4+12]

7.(a) Differentiate between rectilinear motion and curvilinear motion

(b) A mass of14kg travelling to the right with a speed of 9m/sec collides with another mass

of 25kg travelling to the left with a speed of 30m/s. If the coefficient of restitution is 0.60

find the velocities of the particles after collision and loss of kinetic energy.

[6+10]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|


I B. Tech I Semester Supplementary Examinations Sept. - 2014

ENGINEERING PHYSICS (Common to ECE, EEE, EIE, Bio-Tech, E Com E and Agri. E)



***** PART-A

1.(i) Derive an expression for the dispersive power of a plane diffraction grating. (ii) What are the characteristics of a LASER beam? (iii) Explain orientation polarization in dielectrics and discuss the effect of temperature on it. (iv) State and explain Fermi distribution function. (v) Write the Maxwell’s electromagnetic equations in differential or integral form. (vi) What are Direct and Indirect band gap semiconductors?

[4+4+3+3+4+4] PART-B

2.(a) State and explain the Principle of superposition of waves. (b) Derive the expression for Fermi energy in intrinsic semiconductor. (c) Explain the concept of Effective mass and derive the expression for it.

[4+8+4] 3.(a) Explain the terms ‘Acceptance angle’ and ‘Acceptance cone’.

(b) Explain the formation of Newton’s rings and obtain an expression for the diameter of the dark rings in reflected system.

(c) Mention some applications of Hall effect. [4+8+4]

4.(a) Explain the important magnetic properties of ferro magnetic materials. (b) Classify the fibers on the basis of refractive index profile, modes and materials. (c) Newton’s rings are formed with sodium light in an experiment. What is the order of the dark

ring, which has double the diameter of the fourth dark ring? [4+8+4]

5.(a) What are the properties of Matter waves? (b) What is meant by Hysteresis? Explain ferro magnetic hysteresis on the basis of domain

theory. (c) An optical fiber has a core and cladding materials of refractive indices of 1.55 and 1.50

respectively. The light is launched into the fiber from air. Calculate its numerical aperture. [4+8+4]

6.(a) Define valence band, conduction band and forbidden energy gap in the energy band structure.

(b) Show that the solution of Schrodinger wave equation for a particle in an infinite potential well leads to the concept of quantization of energy.

(c) Find the relative permeability of a ferro magnetic material if field of strength 220A/m produces a magnetization of 3300A/m in it.

[4+8+4] 7.(a) Distinguish between Intrinsic and Extrinsic semiconductors. (b) Explain the Kronig-penny model of solids and show that it leads to energy band structure. (c) An electron beam is accelerated from rest through a potential difference of 200V. Calculate

the associated wavelength. [4+8+4]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|





***** PART-A

1.(i) What is a half wave plate? Deduce an expression for its thickness. (ii) Distinguish between spontaneous and stimulated emissions. (iii) Define dielectric susceptibility and polarisability of a dielectric. Write a relation connecting the two. (iv) How will you measure the absorption coefficient of a material? (v) Describe the formation of energy bands in a crystalline solid. (vi) How does the Fermi level change with temperature in extrinsic semiconductors?

[4+4+3+3+4+4] PART-B

2.(a) What are the necessary conditions to get clear and distinct interference fringes? (b) Explain Hall effect and derive an expression for Hall coefficient. Give any two of its

applications. (c) For the metal having 6.5x1028 conduction electrons per m3 find the relaxation time of

conduction electrons if the metal has resistivity 1.43x10-8Ωm.

[4+8+4] 3.(a) Distinguish between crystalline solids and amorphous solids.

(b) Derive the conditions for path difference for interference in thin parallel film due to reflected light.

(c) An electric field of 100 V/m is applied to a sample of n-type semiconductor whose Hall coefficient is -0.0125m3/C. Determine the current density in the sample assuming µe=0.6m2/V.s.

[4+8+4] 4.(a) State and explain Meissner effect.

(b) Derive the expression for inter planar distance between consecutive planes described by Miller indices (hkl).

(c) A half wave plate is designed from a crystal for λ=600nm. If (µ0 - µe)=0.0057, calculate the thickness of the plate.

[4+8+4] 5.(a) What are polar and non-polar dielectrics? (b) Explain a.c. and d.c. Josephson’s effect with theory. (c) Silver has FCC structure and its atomic radius is 1.441Å. Find the spacing of (220) planes.

[4+8+4] 6.(a) Explain the terms ‘Drift velocity’ and ‘Carrier mobility’.

(b) Derive an expression for internal field seen by an atom in a dielectric material subjected to an electric field.

(c) Give any four applications of superconductors. [4+8+4]

7.(a) Write a notes on drift and diffusion currents. (b) Based on classical free electron theory, derive an expression for electrical conductivity of

metals. (c) Write notes on Flux quantization.

[4+8+4] Page 1 of 1

Set No - 2

||''''|||''|'''||''|





***** PART-A

1.(i) Derive an expression for the dispersive power of a plane diffraction grating. (ii) What are the characteristics of a LASER beam? (iii) Explain orientation polarization in dielectrics and discuss the effect of temperature on it. (iv) State and explain Fermi distribution function. (v) Write the Maxwell’s electromagnetic equations in differential or integral form. (vi) What are Direct and Indirect band gap semiconductors?

[4+4+3+3+4+4] PART-B

2.(a) What are the necessary conditions to get clear and distinct interference fringes? (b) Explain Hall Effect and derive an expression for Hall coefficient. Give any two of its

applications. (c) For the metal having 6.5x1028 conduction electrons per m3 find the relaxation time of

conduction electrons if the metal has resistivity 1.43x10-8Ωm.

[4+8+4] 3.(a) Explain the terms ‘Acceptance angle’ and ‘Acceptance cone’.

(b) Explain the formation of Newton’s rings and obtain an expression for the diameter of the dark rings in reflected system.

(c) Mention some applications of Hall effect. [4+8+4]

4.(a) State and explain Meissner effect. (b) Derive the expression for inter planar distance between consecutive planes described by

Miller indices (hkl). (c) A half wave plate is designed from a crystal for λ=600nm. If (µ0 - µe)=0.0057, calculate the

thickness of the plate. [4+8+4]

5.(a) What are the properties of Matter waves? (b) What is meant by Hysteresis? Explain ferro magnetic hysteresis on the on the basis of

domain theory. (c) An optical fiber has a core and cladding materials of refractive indices of 1.55 and 1.50

respectively. The light is launched into the fiber from air. Calculate its numerical aperture. [4+8+4]

6.(a) Explain the terms ‘Drift velocity’ and ‘Carrier mobility’. (b) Derive an expression for internal field seen by an atom in a dielectric material subjected to

an electric field. (c) Give any four applications of superconductors.

[4+8+4] 7.(a) Distinguish between Intrinsic and Extrinsic semiconductors. (b) Explain the Kronig-penny model of solids and show that it leads to energy band structure. (c) An electron beam is accelerated from rest through a potential difference of 200V. Calculate

the associated wavelength. [4+8+4]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|





***** PART-A

1.(i) What is a half wave plate? Deduce an expression for its thickness. (ii) Distinguish between spontaneous and stimulated emissions. (iii) Define dielectric susceptibility and polarisability of a dielectric. Write a relation connecting the two. (iv) How will you measure the absorption coefficient of a material?

(v) Explain the origin of magnetism in materials. (vi) How does the Fermi level change with temperature in extrinsic semiconductors?

[4+4+3+3+4+4] PART-B

2.(a) State and explain the Principle of superposition of waves. (b) Derive the expression for Fermi energy in intrinsic semiconductor. (c) Explain the concept of Effective mass and derive the expression for it.

[4+8+4] 3.(a) Distinguish between crystalline solids and amorphous solids.

(b) Derive the conditions for path difference for interference in thin parallel film due to reflected light.

(c) An electric field of 100 V/m is applied to a sample of n-type semiconductor whose Hall coefficient is -0.0125m3/C. Determine the current density in the sample assuming µe=0.6m2/V.s.

[4+8+4] 4.(a) Explain the important magnetic properties of ferro magnetic materials. (b) Classify the fibers on the basis of refractive index profile, modes and materials. (c) Newton’s rings are formed with sodium light in an experiment. What is the order of the dark

ring, which has double the diameter of the fourth dark ring? [4+8+4]

5.(a) What are polar and non-polar dielectrics? (b) Explain a.c. and d.c. Josephson’s effect with theory. (c) Silver has FCC structure and its atomic radius is 1.441Å. Find the spacing of (220) planes.

[4+8+4] 6.(a) Define valence band, conduction band and forbidden energy gap in the energy band

structure. (b) Show that the solution of Schrodinger wave equation for a particle in an infinite potential

well leads to the concept of quantization of energy. (c) Find the relative permeability of a ferro magnetic material if field of strength 220A/m

produces a magnetization of 3300A/m in it. [4+8+4]

7.(a) Write a notes on drift and diffusion currents. (b) Based on classical free electron theory, derive an expression for electrical conductivity of

metals. (c) Write notes on Flux quantization.

[4+8+4]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(i) How does reading help one to become a good writer according to L.A.Hill?

(ii) What according to J.B.Haldane is a common quality of a judge and a scientist and how?

(iii) Do you think Russell’s ideas are relevant to today’s world? Justify your answer with

reasons.

(iv) Why was G.D.Naidu called the “ Edison of India?

(v) Give an account of the character of Gopinath.

(vi) Write about the sun as described by James Jeans in your own words.

(vii) What are the various sources of knowledge according to Kalam?

[3+3+3+3+3+3+4]

PART-B

2.(a) What are the three phases of Gandhi’s life in London? What were the changes from one

phase to another?


[8+8]

3.(a) What are the factors that constitute a knowledge society according to Abdul Kalam?

(b) Write an account of Sudha Murthy’s achievements and social work.

[8+8]

4.(a) Describe Scoresby’s character.

(b) Write a speech on “ Women Equality in India”

[8+8]

5.(a) Justify the title of the essay ‘Man’s Peril’.

(b) Write an essay on “Corruption in India” suggesting some steps to control it.

[8+8]

6.(a) Haldane says that science has affected the opinions of an average man. Do you agree with

this opinion? Substantiate your answer with your own examples.

(b) Write a paragraph on Green House Effect.

(c) You have seen an advertisement of a mobile phone on the website. You liked it. You want

to buy it and so you want to have some details about it. Write an email to

[email protected]

[8+4+4]

Page 1 of 2

Set No - 1

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(i) charity

(ii) pioneer

(iii) pell-mell

(iv) segregate


(i) unbiased

(ii) acclaimed

(iii) demeanor

(iv) passionate

(c) Rewrite the following sentences using comparative adjective.

(i) Aesop’s tales are not as famous as Panchatantra tales in India.

(ii) Sony television is as clear as any other television in the market.

Rewrite the following sentences using superlative adjective.

(iii) None of the boys are as tall as Vikram in the class.

(iv) No other movie in the world is as highly rated as Shawshank Redumption on

IMDB.

(d) Use appropriate prepositions to fill in the blanks.


(ii) They are very angry _______ the students but I am not happy ________ the way they

expressed it.

[4+4+4+4]

Page 2 of 2

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) State any two major arguments of Haldane on scientific point of view.

(ii) What are the ways in which Gandhiji simplified his life in London?

(iii) Do you think Russell’s ideas are relevant to today’s world? Justify your answer with

reasons.

(iv) What are the contributions of G.D Naidu that made him one of the greatest technologists

in India?

(v) How successful was G.R.Gopinath as a farmer? What is his contribution to the field of

agriculture?

(vi) Write about the universe as described by James Jeans in your own words

(vii) Describe the participation of Scoresby in the war.

[3+3+3+3+3+3+4]

PART-B

2.(a) Describe in your words the efforts made by Gandhi to transform himself into an English

gentleman in London.

(b) What are the major interests of Sudha Murthy and how did she pursue them all her life?

[8+8]

3.(a) What according to Dr.Kalam are the three stages of making India a knowledge society?

(b) What were the major works Dr. Vijay Bhatkar has accomplished

[8+8]

4.(a) What according to L.A. Hill are the principles of good writing? Do you agree with him?

Give reasons.

(b) Write an essay on “Reservation for women in the legislature is not necessary”.

[8+8]

5.(a) Summarise the suggestions offered by Russell to Nations as well as the general public for

the maintenance of world peace.

(b) Write a speech on “ Importance of quality education in India”

[8+8]

6.(a) Compare and contrast the characters of Scoresby and clergymen.

(b) Write an email to your e-bay sales team requesting them to give the procedure of buying a

mobile from their website along with the model details and warranty issues.

(c) Write a paragraph on comparing life before and after the invention of personal computers

[8+4+4]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|



(i) vital

(ii) wandering

(iii) courageous

(iv) modesty


(i) comprehensive

(ii) unfortunately

(iii) philanthropist

(iv) indigenous

(c) Punctuate the following text.

i have been looking on this evening at a merry company of children assembled round that

pretty german toy a christmas tree what a wonderful gift anshu got everybody said

appreciatively how is it i asked him


(i) Thomas, you must behave your in front of your teachers.

(ii) We had a lot of rains in the South last year.

(iii) The behavior of our boss is bad. His P.A. is even more bad.

(iv) You must enjoy yours when you are alone.

[4+4+4+4]

Page 2 of 2

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) What does Gandhiji want every youth of India to learn from him?

(ii) What is societal transformation and what does it result in?

(iii) How according to Haldane, should a scientist and a judge act? Do you think he is right?

Justify.

(iv) What does Hill mean by “simple and clear style” of writing?

(v) What was G.D.Naidu’s relationship with agriculture?

(vi) Describe two accidents that occurred in the universe according to James Jeans.

(vii) How did Gopinath impact the airline industry?

[3+3+3+3+3+3+4]

PART-B

2.(a) Why should a writer be a good reader and a keen observer? How can these qualities make

him a good writer? Explain L.A.Hills views.

(b) Give an account of some of the work done by Sudha Murthy in the field of philanthropy

and social work.

[8+8]

3.(a) Describe how changes in the society through technology can lead to wealth generation in a

developing country like India? Elaborate Kalam’s views.

(b) Write an account on Dr.Vijay Bhatkar’s super computers in India.

[8+8]

4.(a) Write about Gandhiji’s experiences as a student in London.

(b) Write an essay on “A good political leader: an old experienced one or a fresh educated

one?

[8+8]

5.(a) How did ‘Luck’ make Scoresby a famous and successful person? Do you think luck can

favour any person in reality? Give reasons.

(b) Prepare a speech on the number of graduates produced every year and the quality of

technical education.

[8+8]

6.(a) Write in your own words, the repercussions of atomic warfare as described by Russell.

(b) Write a paragraph on any one festival celebration with your family.

(c) Write an email to your teacher requesting her to extend the last date for submission of an

assignment as you are collecting actual data to complete the assignment.

[8+4+4]

Page 1 of 2

Set No - 3

||''''|||''|'''||''|



(i) obliterate

(ii) stranded

(iii) clumsy

(iv) illustrious


(i) stranded

(ii) mortal

(iii) significant

(iv) economical

(c) Fill in the blanks with adverb and adjective forms of the words given in parenthesis.

(i) She is an __________________ girl and so she answers very _______________.

(intelligence)

(ii) He is __________ and behaves ________________ (fool)

(d) Rewrite the following sentences using comparative adjective.

(i) Entertainment parks are not as famous as movie theatres in India.

(ii) India is as clear as any other western country on its stand.

Rewrite the following sentences using superlative adjective.

(iii) None of the boys are as young as Vivek in the class.

(iv) No other batsman in the world is as great as Sachin Tendulkar.

[4+4+4+4]

Page 2 of 2

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) What should be done in order to make India a ‘knowledge society’?

(ii) What were the efforts made by Gandhiji to economize his lifestyle in London?

(iii) What is that science cannot and should not do according to Haldane?

(iv) “ To write interestingly, you must yourself be interested in what you are writing”.

Comment on this statement made by L.A.Hill.

(v) What feelings does Russell want all of us to set aside?

(vi) Give an account of the letter written by the headmaster of Gopinath to Ministry of

Defence in Delhi.

(vii) What was G.D.Naidu’s attitude towards education when he was a child and how did it

change as he grew up?

[3+3+3+3+3+3+4]

PART-B

2.(a) What does common man think about science? What according to Haldane, should we

educate common man about science?

(b) ‘We should make way for the youngsters instead of expecting them to come around to our

ways.” Do you agree with Sudha Murthy?

[8+8]

3.(a) Discuss the feasibility of the ways which Dr Kalam proposes to make India a wealthy

nation?

(b) What were the major contributions of Dr.Bhatkar to the field of computers in India?

[8+8]

4.(a) “But hence forward, I became a student.” What was Gandhiji before and what changes did

he make after he became a student?

(b) Write an essay on “ Benefits of living in big cities as opposed to rural areas”.

[8+8]

5.(a) How do good reading, observation and vocabulary help a writer to become a good writer?

Support your answer with examples. Elaborate L.A.Hills views in ‘principles of good

writing’.

(b) Prepare a formal vote of thanks at the conclusion of a week-long cultural festival

organized in your college. It should include the details of the programs conducted on each

day.

[8+8]

6.(a) Write the summary of the story “ Luck”.

(b) Write an email to a friend of your who lives in Singapore seeking his suggestion on your

pursuing your further education in Singapore universities.

(c) Write a paragraph describing the process of making any food item you like most.

[8+4+4]

Page 1 of 2

Set No - 4

||''''|||''|'''||''|



(i) pique

(ii) penchant

(iii) rational

(iv) serene


(i) skilled

(ii) anonymous

(iii) belief

(iv) frequently

(c) Fill in the blanks with suitable Prepositions. (i) I searched for you ________ your department and also looked for you _____ your table but in

vain. (ii) The musical night started _______ 6.00 pm in the evening and went on _______ 11.30 at

night.


Odisha, a small state in the east coast of India, was battered by Cyclone Philine in

the last weekend. The cyclone came from the Bay of Begal. It was the result of a low

pressure area developing in the sea. From a location a few hundred kilometers off the

coast, Cyclone Philine gradually moved towards the land. The wind speed was nearly 220

kilometers per hour. The violent wind hit villages near the coastline with deadly force.

Mud houses were flattened, trees uprooted and power lines were reduced to tangled heaps

of wire. Fortunately, weather radars tracked the Philine doggedly as a result of which

people were evacuated from their houses that fell in the projected path of Cyclone

Philine. Millions of people were quickly moved to temporary shelters with remarkable

efficiency. This reduced the death toll to negligible numbers. It was a remarkable success

of disaster management in India. In another operation, the Coast Guard spotted a cargo

ship at night that had tilted dangerously in the waters a few kilometers off Bengal.

Responding to its SOS call, the Coast Guard rushed to its rescue and lifted out the sailors

who were floating on their life boat in the dark near their ship.

[4+4+4+4]

Page 2 of 2

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1.(i) Define biodiversity hotspots and on what basis a region is designated as hotspot?

(ii) What do you know about soil erosion?

(iii) Write about grassland ecosystem.

(iv) Write about air pollution.

(v) Write about productive use of biodiversity.

(vi) Write about Ecotourism

[5+4+4+3+4+2]

PART-B

2.(a) Describe the importance of land resources in the development of civilization.

(b) Write about rain water harvesting.

[8+8]

3.(a) Write about endangered and endemic species.

(b) Write short notes on (i) Role of Information Technology (ii) Human rights

[8+8]

4.(a) What is radioactive pollution? Discuss sources and effects of radiation

(b) Write about India as a mega diversity nation.

[8+8]

5.(a) Write about the water (prevention control of pollution) Act,1974

(b) What is thermal pollution? Explain the sources and its effects on ecosystem.

[8+8]

6.(a) What are the resettlement and rehabilitation measures you suggest for dam construction?

(b) Write short notes on living and non-living species of environment.

[10+6]

7.(a) Write detailed note on field visit to any polluted site and suggest the protective measures

(b) Write about Habitat loss

[8+8]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) What do you know about conservation of biodiversity.

(ii) Define environment. What are the components of environment?

(iii) Explain about nonproductive agricultural activities.

(iv) Write about water pollution.

(v) Write about environmental victims of developmental projects and their rehabilitation &

resettlement.

(vi) What is EIA? Explain.

[3+4+4+3+5+3]

PART-B

2.(a) What are the environmental implications of conventional and non conventional sources

of energy?

(b) Write about desert ecosystem.

[10+6]

3.(a) Explain the threats to biodiversity. How can they be prevented?

(b) What are the primary needs of sustainable development?

[10+6]

4.(a) Write about classification of biodiversity.

(b) Write detailed note on urban solid waste and it’s management.

[6+10]

5.(a) Explain the Exponential growth of population.

(b) Explain about consumerism and waste products.

[8+8]

6.(a) Write about the field visit you have undertaken during the semester?

(b) Write notes on depletion of ozone layer and its effects.

[8+8]


(i) Ethics and education

(ii) Renewable and non renewable resources

(iii) Narmada Bachao Andolan.

[5+6+5]

Page 1 of 1

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) Write about impact of ecological succession on human beings.

(ii) Briefly describe the role of an individual in the conservation of natural resources.

(iii) Write about the hotspots of biodiversity.

(iv) Write about soil pollution?

(v) What is rain water harvesting? What are the major objectives?

(vi) What are the various stages of EIA.

[4+4+5+4+3+2]

PART-B

2.(a) Describe world food problems. Ennumerate the causes and the possible ways to increase

world food production.

(b) Give an account of municipal solid waste management.

[8+8]

3.(a) Define ecosystem. Explain the structure and function of an ecosystem.

(b) Write about values of biodiversity

[10+6]

4.(a) Write a note on wind energy

(b) Why public should have awareness about environmental acts.

[8+8]

5.(a) Write about environmental ethics.

(b) Write about In-situ and Ex-situ conservation of biodiversity.

[6+10]

6.(a) Describe the steps in the preparation of environment management plan (EMP)?

(b) Explain the role of chlorofluorocarbons (CFCs).

[8+8]

7.(a) Write short notes on nuclear hazards and accidents?

(b) Write field visit report on forests, hilly areas and rivers.

[6+10]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) What is deforestation? Give main causes of deforestation.

(ii) What is nutrient cycling? What is the significance of decomposers in nature?

(iii) Give an account of consumptive use of biodiversity.

(iv) Write about noise pollution.

(v) Give a brief account of environmental ethics.

(vi) What is environmental audit?

[4+4+4+4+3+3]

PART-B

2.(a) What is soil erosion? What are its causes? How can soil be conserved?

(b) Write short notes on biomedical waste.

[8+8]

3.(a) “India - a mega diversity nation” Explain.

(b) Describe food chain and food web with examples

[10+6]

4.(a) Write an essay on air pollution, causes, effects and control measures.

(b) Write about ecological succession.

[10+6]

5.(a) Write about threats to biodiversity

(b) Write about wild life protection act?

[8+8]

6.(a) Write about mineral resources of India.

(b) Write in detail about EMP and EIS.

[8+8]


(i) Bhopal gas tragedy

(ii) Geo-thermal energy

(iii) Estuaries

[5+6+5]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|






*****

PART-A

1. (i) Find the orthogonal trajectories of family of curves

(ii) Solve 4

(iii) Find the Laplace transform of √ √

(iv) Show that

2 ! , where # $

(v) Solve % % &%' 2( 2&

(vi) Solve )

)

) % %

[3+3+4+4+4+4]

PART-B

2.(a) Solve 1 % 1

(b) Solve 2%+ %%+ 0

[8+8]

3.(a) Solve -% 1 3 /

(b) A particle of mass m executes S.H.M in the line joining the points A and B, on a smooth

table and is connected with these points by elastic strings whose tensions is equilibrium

are each T. If , be the extensions of the string beyond their natural lengths, find the

time of oscillation.

[8+8]

4.(a) Find the Laplace transform of 012340125

. (b) Solve

9 / 2, if 0 1, 78%9 1

[8+8]

5.(a) Expand # log 1 in powers of x and y up to terms of third degree.

(b) In a plane triangle, find the maximum value of / / =/ /. [8+8]

6.(a) Solve % &' %& ( &% (b) Solve (% &%'%1 '%.

[8+8]

7.(a) Solve the Laplace equation

0 subject to the conditions 0, ,

, 0 0 and , sin 8 B

(b) Solve the wave equation /%

under the conditions 0, 0, , 0 C; , 0 E and FG !, 0 H H .

[8+8]

Page 1 of 1

Set No - 1

||''''|||''|'''||''|






*****

PART-A

1.(i) Find the orthogonal trajectories of the family of cardioids 1 / (ii) Solve the -% 4- 3 3/ 2

(iii) Find the Laplace transform of 3/ % (iv) If u 4

4 , prove that

0

(v) Solve ) ' &( %

(vi) Solve )

)

) & #4

[3+3+4+4+4+4]

PART-B

2.(a) Solve %+ %+ 0

(b) Solve 2 / %

[8+8]

3.(a) Solve 2

#

(b) An unchanged condenser of capacity C is charged by applying an e.m.f. I √JK ,

through leads of self-inductance L and negligible resistance. Prove that at any time t, the

charge on One of the plates is LK% M

√JK

√JK /

√JKN [8+8]

4.(a) Evaluate O M P QRS

G + N

(b) Find the inverse Laplace transform of log 72$249

[8+8]

5.(a) A rectangular box open at the top is to have volume of 32 cube ft. Find the dimensions of

The box requiring least material for its construction.

(b) Expand E, in powers of (x-1) and (y-1)

[8+8]

Page 1 of 2

Set No - 2

||''''|||''|'''||''|


6.(a) Solve '√ (T √&

(b) Solve ' (% ' (% 1

[8+8]

7.(a) Using the method of separation of variables, solve 2

where , 6#4

(b) A tightly stretched string of length l, with fixed ends is initially in equilibrium position.

It is set vibrating by giving each point a velocity VG 8 B . Find the displacement y(x,t).

[8+8]

Page 2 of 2

Set No - 2

||''''|||''|'''||''|






*****

PART-A

1.(i) Find the orthogonal trajectories of the family of parabolas % 4 (ii) Solve

2

#% / % (iii) Find the Laplace transform of #4% (iv) If

$ , W

3

(v) Solve ' ( % % (vi) Solve 4 )

4 )

) 16 log 2

[4+4+3+3+4+4]

PART-B

2.(a) Solve #/%

(b) A body is originally at 80G/ cools down to 60G/ in 20 minutes, the temperature of the air

being 40G/ . What will be the temperature of the body after 40 minutes from the

original.

[8+8]

3.(a) Solve -% 1% Y 2/ 3

(b) Solve % #/.

[8+8]

4.(a) Find the Laplace transform of #43. (b) Apply convolution theorem to evaluate O4Z 2

2$32$5[ [8+8]

5.(a) Expand % 3 2 in powers of (x-1) and (y+2) using Taylors theorem.

(b) Discuss the maxima and minima of , %1 . [8+8]

6.(a) Solve the partial differential equation px+qy=1

(b) Solve 2& '% ( 2% 0

[8+8]

7.(a) Using the method of separation of variables, solve ' (% 0

(b) Solve the equation

with boundary conditions , 0 3\, 0, 0

and 1, 0, where 0 H H 1, ] 0.

[8+8]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) Find the orthogonal trajectories of the family of cardioids 2/ (ii) Solve -% 1 Y 2/ 3

(iii) Find the inverse Laplace transform 2

24%^

(iv) Show that

2 ! , W## log ^$^ $Y

(v) Solve % &%' ( & 0 (vi) Solve

^) ^ 3 ^)

^)^ # $%

[4+4+3+3+4+4]

PART-B

2.(a) Solve %+ %+ 0

(b) Solve 2%+ %%+ 0

[8+8]

3.(a) Solve -% 1% Y 2/ 3

(b) Solve -Y -% 1 #4 %_ / √% .

[8+8]

4.(a) Solve 9 / 2, if 0 1, 78%9 1

(b) Find the Laplace transform of #43. [8+8]

5.(a) A rectangular box open at the top is to have volume of 32 cube ft. Find the dimensions of

The box requiring least material for its construction.

(b) In a plane triangle, find the maximum value of / / =/ /. [8+8]

6.(a) Solve % &' %& ( &% (b) Solve 2& '% ( 2% 0

[8+8]

7.(a) Using the method of separation of variables, solve 2

where , 6#4 .

(b) Solve the equation

with boundary conditions , 0 3\, 0, 0

and 1, 0, where 0 H H 1, ] 0. [8+8]

Page 1 of 1

Set No - 4

||''''|||''|'''||''|


MATHEMATICS-II (MATHEMATICAL METHODS) (Common to ECE, EEE, EIE, Bio-Tech, EComE and Agri.E)




*****

PART-A

1. (i) Write iterative scheme to find the cube root of a real number K(>0).

(ii) Express shift operator E in terms of exponential function.

(iii) Given 1)0(, =+=′ yyxy , find the value of y(0.4) (take h = 0.2) using Euler’s method.

(iv) Find Fourier series of f(x) = |x| in (–2, 2).

(v) If pF is complex Fourier transform of f(x), then find the complex Fourier transform of

f(x) cos ax.

(vi) Prove that 1cosh2

sinh)(sinh

2 +−=

tzz

tzntZ

.

[3+3+3+3+5+5]

PART–B

2.(a) Find positive root of 0353 =+− xx using bisection method up to 4 steps.

(b) The population of a town in the decimal census is given below. Estimate the population

of a town for the year 1895

Year X 1891 1901 1911 1921 1931

Population Y 46 66 81 93 101

[8+8]

3.(a) Using Newton-Raphson method Compute 41 correct to 4 decimal places.

(b) Using Lagrange’s interpolation formulae find the value of y(12) from the data

X 4 7 8 10

Y 10 15 17 21

[8+8]

4.(a) Solve 1+=′ xyy , y(0)=1 using Taylors method up to 3rd

degree term and compute

y(0.1).

(b) Find the fourier series of xxxf −= 2)( in ),( ππ− . Hence deduce that

.6

...3

1

2

1

1

1 2

222

π=+++

[8+8]

Page 1 of 2

Set No - 1

||''''|||''|'''||''|


5.(a) Find half range sine series of

<<−

<<

=

ππ

π

x

x

xf

2,1

20,1

)( .

(b) Use Runge-Kutta 4th

to compute y(1.25) given that 2)1(, =+

= yx

yx

dx

dy

[8+8]

6.(a) Find Fourier transform

>

≤=

axif

axifxxf

||0

||)( .

(b) Find Z-transform of nan2

.

[8+8]

7.(a) Find Fourier cosine transform of 0, >− ae ax and hence deduce the inversion formula.

(b) If 11

)]([2 +

+−

=z

z

z

znfZ , find Z[f(n + 2)].

[8+8]

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Set No - 1

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*****

PART-A

1.(i) Using a numerical method for the square root of 11.

(ii) P.T. 2/12/1 −−= EEδ .

(iii) If 48.1)4.0(, =+−′ yyxy , find y(0.9) with h = 0.25 using Euler’s method and compare

it with exact solution.

(iv) Find the Half range Fourier sine series of f(x) = |x| in (0, 1).

(v) Prove

)]([)()]([ pFdp

dixfxF

n

nnn −=

.

(vi) Prove that 1cosh2

)cosh()(cosh

2 +−

−=

tzz

tzzntZ

.

[3+3+4+4+4+4]

PART–B

2.(a) Find the root of the 0462 234 =−−−− xxxx lying between 2 and 3 upto 4 stages.

(b) Use Gauss forward interpolation formulae to find )30(f solve that

f(21) = 18.4, f(25) = 17.8, f(29) = 17.1, f(33) = 16.3 and f(37) = 15.5.

[8+8]

3.(a) Find a positive root of xx cos32 += by using Newton-Raphson method.

(b) Using Lagrange’s Interpolation formula for the value of )3.1(y given the following table

X 0.7 0.9 0.95 1.2

Y 1.25 1.5 2.0 2.7

[8+8]

4.(a) Solve 1)0(,2 =−=′ yxyy using Picard’s method up to third approximation and hence

find the value of y(0.1).

(b) Find the Fourier expansion of π20,cos)( <<= xxxxf .

[8+8]

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Set No - 2

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5.(a) Find half range cosine series of

<<−

<<

=

ππ

π

x

x

xf

2,1

20,1

)( .

(b) Find y(0.1) using 4th

order Runge-Kutta method given that .1)0(,2 =+=′ yyxxy

[8+8]

6.(a) Find the Fourier transform of ||

1

x.

(b) Find Z-transform of θnen2

.

[8+8]

7.(a) Find Fourier cosine transform of 21

1

x+and hence find Fourier sine transform of

21 x

x

+.

(b) Solve 1)1(,0)0(,0)(2)1(3)2( ===++++ yynynyny using Z-Transform.

[8+8]

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Set No - 2

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*****

PART-A

1.(i) Find reciprocal of a real number K using Newton-Raphson method.

(ii) Prove that ][

2

1 2/12/1 −+= EEµ.

(iii) Employ Taylor’s method to obtain the values of y(1.1) for the differential equation

1)1(,3/1 ==′ yxyy . Compare the solution with exact solution.

(iv) A sinusoidal voltage tE ωsin is passed through a half wave rectifier which clips the

negative portion of the wave. Develop the resulting periodic function

ω

π

ω

2,

20,sin

02

,0

)( =

<<

<<−

= TT

ttE

tT

tu as Fourier series.

(v) Prove that

)()()( pFipxFdx

dF

n

n

n

−=

(vi) Prove that 1cos2

sin)(sin

2 +−=

tzz

tzntZ

.

[3+3+4+4+4+4]

PART–B

2.(a) By using Regula-Falsi method for a real root of 2=xxe up to 4 stages.

(b) Using a Backward difference formula, find y(8)from the given table

X 0 5 10 15 20 25

Y 7 11 14 18 24 32

[8+8]

3.(a) Using Newton-Raphson formula, find the root between 0 and 1of 463 −= xx correct to

3 decimal places.

(b) Using Lagrange’s Interpolation formula, find the value y(2) given the following table of

values

X 1 1.1 1.4 1.8

Y 2 4 8 11

[8+8]

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Set No - 3

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4.(a) Using Euler’s method, solve for y at x = 0.5 from 1)0(,2 ==′ yxyy using step size 0.25.

(b) Find the Fourier series of

<<

<<−

=π

π

π

xx

x

xf0,

4

0,0

)( and hence deduce that

8...

5

1

3

11

2

22

π=+++ .

[8+8]

5.(a) Represent the function as Fourier sine series

<<−

<<

=

ππ

π

ππ

xx

x

xf

2,

20,

2)(

(b) Use Runge-Kutta 4th

order to compute y(1.25) for the equation 2)1(, =+

=′ yx

yxy .

[8+8]

6.(a) Find the Fourier sine transform of .x

eax−

(b) If 11

)]([2 +

+−

=z

z

z

znfZ find Z [f(n + 2)].

[8+8]

7.(a) Find Fourier transform of

>

≤=

axif

axifxxf

||0

||)( .

(b) Solve 096 12 =+− ++ nnn uuu using Z-transform.

[8+8]

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Set No - 3

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*****

PART-A

1.(i) Evaluate 3 28 to four decimal places by Newton-Raphson method.

(ii) If the interval of differencing is unity, 2

11

2

1tan

1tan

nn

n −− =

−∆ .

(iii) Using Taylor’s series method obtain y(0.2) for the differential equation

0)0(,32 ==−′ yeyy x . Compare with exact solution.

(iv) Find the Fourier series of ).,(in|xcos|)x(f ππ−=

(v) Find Fourier transform of

>

<=

ax

axxf

||,0

||,1)( and hence evaluate ∫

∞

0

.sin

dpp

p

(vi) Prove that 1cos2

)cos()(cos

2 +−

−=

tzz

tzzntZ

.

[3+3+4+4+4+4]

PART–B

2.(a) Find a real root of 0943 =−− xx using Regula-Falsi method up to 4 stages.

(b) Using Gauss Backward difference polynomial, find y(5) given that

X 0 3 6 9 12

Y 5 11 13 15 17

[8+8]

3.(a) Using Newton-Raphson method, find a positive root of 0cos =− xexx .

(b) Using Lagrange’s Interpolation, find f(x)

X 4 7 8 10

Y 10 15 17 21

[8+8]

4.(a) Using Euler’s method, solve for y at x = 0.4 from 1)0(,2 ==′ yxyy using step size 0.2

(b) Find the Fourier series of periodicity 3 for 22)( xxxf −= in 0 < x < 3.

[8+8]

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Set No - 4

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5.(a) Represent the function as Fourier cosine series

<<−

<<

=

ππ

π

ππ

xx

x

xf

2,

20,

2)( .

(b) Estimate y(0.2), given 1)0(,2

3 =+=′ yy

xy using Runge-Kutta 4th

order.

[8+8]

6.(a) Find Fourier Sine transform of x

eax−

.

(b) Find the Z-transform of x(n) = nzn

[8+8]

7.(a) Find Fourier transform of

>

≤=

ax

axaxf

||,0

||,2

1

)( .

(b) Solve 1,0,2 102 ===−+ uuuun

nn using Z-transform.

[8+8]

Page 2 of 2

Set No - 4

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*****

PART-A

1. (i) Discuss some of the ways to reduce risks in any experimentation.

(ii) Write about values.

(iii) What is the purpose of Engineering Ethics?

(iv) Explain the meaning of moral leadership.

(v) Explain the role of Engineers as Managers.

(vi) Write about acceptance of bribes and gifts.

(vii) What are the social responsibilities of engineers?

[3+3+3+3+3+3+4]

PART-B

2. Explain how lack of communication and information create problems for engineers.

[16]

3. Write about cross cultural issues and globalization.

[16]

4. Explain

(a) Gilligan’s argument

(b) Heinz’s Dilemma

[8+8]

5. Write about classification of Human Values.

[16]

6. (a) What are two senses of loyalty?

(b) Write about conflict of interests.

[8+8]

7. Write about

(a) Designing for safety.

(b) Risk- Benefit Analysis.

[8+8]

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Set No - 1

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*****

PART-A

1.(i) Explain job related risks.

(ii) State the benefits of collective bargaining.

(iii) What is meant by relevant information?

(iv) Bring out the difference between morals and values.

(v) Give an account of history of ethics.

(vi) Write briefly about ‘procedural accidents’

(vii) Is weapon development ethically acceptable?

[3+3+3+3+3+3+4]

PART-B

2. Write about Safety and Engineer.

[16]

3. Write a short note on

(a) Professional Ethics

(b) Types of Inquiry.

[8+8]

4. What do you understand by ‘Environmental Ethics’?

[16]

5. Explain the importance and classification of Human Values.

[16]

6. How does comparison with standard experiments help Engineers? Give examples.

[16]

7. (a) What are the techniques for achieving ‘Collegiality’?

(b) Discuss the importance of Professional Ethics.

[8+8]

Page 1 of 1

Set No - 2

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*****

PART-A

1.(i) Give an account of History of Ethics.

(ii) What is the concept of Safety? Explain the ‘Types of Risks’.

(iii) Write about cross cultural issues.

(iv) What is meant by ‘learning from the past for an engineer’?

(v) Explain the significance of ‘Non Violence’ in the present time.

(vi) What is risk benefit analysis?

(vii) Differentiate between a bribe and a gift.

[3+3+3+3+3+3+4]

PART-B

2. Can computers be instruments of Unethical behavior? How does an ethical issue arise with

the misuse of computers?

[16]

3. Civic virtue and respect for others are the qualities that help one to live peacefully in the

society. Elaborate.

[16]

4. (a) What are the techniques for achieving collegiality?

(b) Write about collective bargaining.

[8+8]

5. Explain the types of risks. Give Examples from any case study analysis.

[16]

6. Explain the following.

(a) Kohlberg’s theory.

(b) Gilligan’s argument.

[8+8]

7. What are the social responsibilities of engineers? What factors help them to achieve success

in their experiments?

[16]

Page 1 of 1

Set No - 3

||''''|||''|'''||''|






*****

PART-A

1.(i) What are the limitations of code of ethics?

(ii) Write about the difference between ethics and values.

(iii) What is concept of safety?

(iv) What is reverse discrimination?

(v) Explain the nature of professional ethics.

(vi) What is meant by voluntarism?

(vii) Define utilitarianism.

[3+3+3+3+3+3+4]

PART-B

2 . Write about environmental ethics.

[16]

3. ‘Engineering as social experimentation- comparison with standard experiments’- Elaborate.

[16]

4. (a) How courage is considered to be a virtue?

(b) How character is formed?

[8+8]

5. (a) Explain the meaning of a faithful agent in relation to public service.

(b) How can whistle blowing be prevented?

[8+8]

6. (a) Explain the use of Ethical theories.

(b) Explain Heinz’s dilemma.

[8+8]

7. Would knowledge of risk help you to have better safety standards or safe products?

Substantiate your argument with suitable case studies.

[16]

Page 1 of 1

Set No - 4

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