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|''||||'|''||'''|''| Code No: R161211 I B. Tech II Semester Regular Examinations, April/May - 2017 APPLIED CHEMISTRY (Com. to ECE, CSE, EIE, IT, ECC) Time: 3 hours Max. Marks: 70 Note: 1. Question Paper consists of two parts (Part-A and Part-B) 2. Answering the question in Part-A is Compulsory 3. Answer any FOUR Questions from Part-B ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ PART –A 1. a) Differentiate emulsion and suspension polymerization with examples. (2M) b) Why net calorific value (NCV) is less than gross calorific value (GCV)? (2M) c) Explain differential aeration corrosion with one example. (2M) d) Draw and explain the structure of fullerene. (2M) e) Write the applications of Hall-Effect. (2M) f) What are electrical insulators? Give their applications. (2M) g) Write the principle involved in Batteries. (2M) PART –B 2. a) Bring out the difference between thermoplastics and thermosetting plastics with suitable examples. (8M) b) Explain the following i) Biodegradable polymers ii) Vulcanization of natural rubber. (6M) 3. a) Name the different types of coals? Explain the proximate analysis of coal and write its significance. (8M) b) Define the octane number of gasoline .what is its significance and how is it measured? Why ethylene di bromide is added when TEL is used as an antiknock reagent? (6M) 4. a) What are nano materials? How to characterise nano materials by BET and TEM methods? (8M) b) Explain the following i) Green synthesis principles ii) Applications of Super conductors (6M) 5. a) Explain the construction, working and applications of photo voltaic cell. (8M) b) Which type of non conventional energy source you prefer for the generation of energy? How to construct it and its importance? (6M) 6. a) What are the insulators? Write about electrical and electronic applications of Insulators? (10M) b) What are semiconductors and P-n junction diode? (4M) 7. a) What are batteries ?Explain the principle ,construction, working and application of Ni-metal hydride cell. (8M) b) Write about cathodic protection methods to control corrosion? Explain with suitable examples. Differentiate galvanizing and tinning. (6M) 1 of 1 SET - 1 R16
Transcript

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Code No: R161211

I B. Tech II Semester Regular Examinations, April/May - 2017

APPLIED CHEMISTRY (Com. to ECE, CSE, EIE, IT, ECC)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Differentiate emulsion and suspension polymerization with examples. (2M)

b) Why net calorific value (NCV) is less than gross calorific value (GCV)? (2M)

c) Explain differential aeration corrosion with one example. (2M)

d) Draw and explain the structure of fullerene. (2M)

e) Write the applications of Hall-Effect. (2M)

f) What are electrical insulators? Give their applications. (2M)

g) Write the principle involved in Batteries. (2M)

PART –B

2. a) Bring out the difference between thermoplastics and thermosetting plastics with

suitable examples.

(8M)

b) Explain the following i) Biodegradable polymers ii) Vulcanization of natural

rubber.

(6M)

3. a) Name the different types of coals? Explain the proximate analysis of coal and

write its significance.

(8M)

b) Define the octane number of gasoline .what is its significance and how is it

measured? Why ethylene di bromide is added when TEL is used as an antiknock

reagent?

(6M)

4. a) What are nano materials? How to characterise nano materials by BET and TEM

methods?

(8M)

b) Explain the following i) Green synthesis principles ii) Applications of Super

conductors

(6M)

5. a) Explain the construction, working and applications of photo voltaic cell. (8M)

b) Which type of non conventional energy source you prefer for the generation of

energy? How to construct it and its importance?

(6M)

6. a) What are the insulators? Write about electrical and electronic applications of

Insulators?

(10M)

b) What are semiconductors and P-n junction diode?

(4M)

7. a) What are batteries ?Explain the principle ,construction, working and application of

Ni-metal hydride cell.

(8M)

b) Write about cathodic protection methods to control corrosion? Explain with

suitable examples. Differentiate galvanizing and tinning.

(6M)

1 of 1

SET - 1 R16

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��

Code No: R161211

I B. Tech II Semester Regular Examinations, April/May - 2017

APPLIED CHEMISTRY (Com. to ECE, CSE, EIE, IT, ECC)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Why conducting polymers shows conductivity? Give examples. (2M)

b) What is power alcohol? Write its applications. (2M)

c) What is electrode potential? What is the effect of electrolyte concentration on

electrode potential?

(2M)

d) Define R4M4 principle of green synthesis. (2M)

e) Differentiate Ferro and Ferri magnetism. (2M)

f) What is tidal energy? Write any two conditions to generate tidal energy. (2M)

g) Discuss the phenomenon of metal Cladding with suitable examples. (2M)

PART –B

2. a) Explain chain growth and step growth polymerization with suitable examples. (8M)

b) What are Elastomers? Explain preparation, properties and engineering applications

of Thiokol rubber.

(6M)

3. a) Differentiate HCV and LCV? Explain with neat diagram how to determine

calorific value by bomb calorimeter.

(10M)

b) What are explosives? Explain the classification and discuss about RDX and TNT

(4M)

4. a) What are nano materials? How to prepare Nano materials with chemical

reductions method? Explain how Nano materials are taking major role in medical

field.

(8M)

b) What are the super conductors? Explain properties of type-1 and type-2 super

conductors

(6M)

5. a) Explain differences between conventional and non conventional energy sources. (8M)

b) Explain the construction, working and applications of methanol – oxygen fuel cell.

Write short notes on Biofuels.

(6M)

6. a) Explain Hall effect and its applications. (8M)

b) Discus the structure of cesium chloride with neat diagram.

(6M)

7. a) What is electro chemical series? Discuss its significance. (8M)

b) Explain the principle involved in batteries. Differentiate electroplating and electro

less plating of corrosion control.

(6M)

1 of 1

SET - 2 R16

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��

Code No: R161211

I B. Tech II Semester Regular Examinations, April/May - 2017

APPLIED CHEMISTRY (Com. to ECE, CSE, EIE, IT, ECC)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) What is heterogeneous polymerization? Explain about suspension polymerization. (2M)

b) Differentiate between HDPE and LDPE. (2M)

c) What is refining? Why petroleum is subjected to refining? (2M)

d) Write the composition of LPG and CNG. (2M)

e) What is electro less plating? What are its advantages over electroplating? (2M)

f) Define Hall Effect. (2M)

g) What are the applications of solar energy? (2M)

PART –B

2. a) Discus about the preparation and engineering applications of Teflon, Bakelite and

Thiokol rubber.

(8M)

b) Write a note on biodegradable polymers.

(6M)

3. a) Define L.C.V and H.C.V. How these are related. A gas has the following

composition by volume H2 =22%, CH4=4%, CO=20%, CO2=6%, O2=3% and

N2=45%. If 25 % excess air is used. Find the actual weight of air supplied per m3

of this gas.

(8M)

b) How explosives are classified? Write about RDX, TNT.

(6M)

4. a) Write about the construction and working of calomel electrode. Give a neat sketch. (8M)

b) Explain about

i) Water line corrosion.

ii) Sacrificial anodic protection.

iii) Electro less plating

(6M)

5. a) How do you characterise nonomaterials by BET method? (8M)

b) How green chemical methods are superior over conventional methods in organic

synthesis? Explain with examples.

(6M)

6. a) What are magnetic materials? Explain. (8M)

b) Explain with suitable examples about the BCC, FCC structure and spinels.

(6M)

7. a) What is photo voltaic cell? Explain the principle of working. (8M)

b) What are the non-conventional energy sources? Discus about geothermal energy. (6M)

1 of 1

SET - 3 R16

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��

Code No: R161211

I B. Tech II Semester Regular Examinations, April/May - 2017

APPLIED CHEMISTRY (Com. to ECE, CSE, EIE, IT, ECC)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) What are plastics? How do they differ from fibers and elastomers? (2M)

b) What are conducting polymers? Give the applications of conducting polymers. (2M)

c) What is RDX and TNT? Write their uses. (2M)

d) Give about cetane number. (2M)

e) Write any three differences between galvanic cell and electrolytic cell. (2M)

f) What are electrical insulators? Give their applications. (2M)

g) Give the importance of photo voltaic cells.

(2M)

PART –B

2. a) How are the plastics fabricated by compression and injection molding methods? (8M)

b) What are the conducting polymers? Why the polymers becomes conducting?

Explain by taking Poly acetylene as an example.

(6M)

3. a) What are the advantages of liquid fuels? (8M)

b) Explain about Fisher-Tropsch’s process. What are rocket fuels? Give examples.

(6M)

4. a) Explain about cathodic protection methods with suitable examples. (10M)

b) What are the characteristic of a battery? Explain Ni-Cd cell, its constructions and

working.

(4M)

5. a) What are CNTs? Give their applications. (8M)

b) Explain the principles of green synthesis.

(6M)

6. a) How is the semi conductors prepared? (8M)

b) Write a note on electrical and electronic applications of insulators. Give the

applications of Ferro magnetic materials.

(6M)

7. a) Give the applications of solar energy. (8M)

b) How do non-conventional energy sources differ from conventional energy

sources? Write about tidal wave power.

(6M)

1 of 1

SET - 4 R16

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Code No: R161216

I B. Tech II Semester Regular Examinations, April/May - 2017

ENGINEERING MECHANICS (Com. to CSE, IT, AGE)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Define the terms: (i) Friction; (ii) Coefficient of friction. (2M)�

b) Give the necessary and sufficient conditions for the equilibrium of rigid body. (2M)�

c) With the help of a sketch, show where does the centroid of semi-circle lie. (2M)�

d) State Perpendicular axis theorem. (2M)�

e) Explain the difference between Rectilinear and Curvilinear motion. (2M)�

f) State the principle of impulse and momentum for a rigid body. (2M)�

g) Define the term Moment of inertia. (2M)�

PART -B

2. a) Two forces of magnitude 50 N and 30 N are acting at a point. If the angle between

the two forces is 600, determine the magnitude and direction of the resultant force.

(7M)

b) In the Figure 1, the two blocks (A=30 N and B=50 N) are placed on rough

horizontal plane. Coefficient of friction between the block A and the plane is 0.3

and that between B and plane is 0.2. Find the minimum value of the force P to just

move the system. Also find the tension in the string.

Figure 1

(7M)�

3. a) A force has the components Fx=100N; Fy=65N; Fz=-80N. Find the magnitude of

the force and the angles �x ,�y and �z from the axes X, Y and Z respectively.

(5M)�

b) Two smooth cylinders with diameters 250 mm and 400 mm respectively are kept

in a groove with slanting surfaces making angles 600 and 30

0 as shown in the

Figure 2. Determine the reactions at contact points A, B and C.

Figure 2

(9M)�

� �

SET - 1 R16

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Code No: R161216

4. a) Determine an expression for the center of gravity of a right circular solid cone

about is base from first principles.

(7M)�

b) Find the center of gravity of the shaded area as shown in the Figure 3.

Figure 3

(7M)�

5. a) Derive an equation for moment of inertia of a Quarter circle. (7M)�

b) Find the Moment of Inertia about the centroidal axis in the given Figure 4.

Figure 4

(7M)�

6. a) A wheel has an initial clock wise angular velocity of 8 rad/s and a constant angular

acceleration of 2 rad/s2. Determine the number of revolutions the wheel must

undergo to acquire a clockwise angular velocity of 15 rad/s. What is the time

required?

(7M)�

b) Two trains P and Q leave the same station on parallel lines. Train P starts at rest

with uniform acceleration of 0.2 rad/s2 attains a speed of 10 m/s. Further the speed

is kept constant. Train Q leaves 30 seconds later with uniform acceleration of 0.5

m/s2from rest and attains a maximum speed of 20 m/s, when will train Q overtake

train P.

(7M)�

7. An elevator weighs 10000 N when fully loaded. It is connected to 7500 N counter

weight C and is powered by an electric wire as show in the Figure 5. Determine

the power required when (i) the elevator is moving upward at constant speed of 20

m/s; (ii) the elevator is moving downward at a constant speed of 20 m/s and (iii)

the elevator has an instantaneous velocity of 20 m/s upward and an upward

acceleration of 3 m/s2.

Figure 5

(14M)�

2 of 2

SET - 1 R16

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Code No: R161216

I B. Tech II Semester Regular Examinations, April/May - 2017

ENGINEERING MECHANICS

(Com. to CSE, IT, AGE)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Define the terms: (i) Coulomb Friction; (ii) Angle of friction. (2M)�

b) State Lami’s theorem. (2M)�

c) With the help of a sketch, show where does the centroid of a Trapezium lie. (2M)�

d) State Parallel Axis theorem. (2M)�

e) Write down the relationship between rectangular components and tangential and

normal components of acceleration.

(2M)�

f) How to find the total kinetic energy of the body, it the body has both translation

and rotational motion.

(2M)�

g) Define the term polar moment of inertia. (2M)�

PART -B

2. a) Two forces of 80N and 70N act simultaneously at a point. Find the resultant force,

if the angle between them is 1500.

(7M)

b) Determine the necessary force P acting parallel to the plane to cause motion to

impend as shown in the Figure 1. Assume coefficient of friction as 0.25 and the

pulley to be smooth.

Figure 1

(7M)�

3. a) The force acts at the origin in a direction defined by the angles �y=600 and �z=35

0.

Knowing that the X-component of force is -80 kN, determine (i) the other

components and magnitude of forces; (ii) the value of �x.

(5M)�

b) An electrical light weighing 15N hangs from a point C by the two strings AC and

BC as shown in the Figure 2. AC is inclined at 600 to the horizontal and BC at 45

0

to the vertical. Using Lami’s theorem, find the forces in the strings AC and BC.

Figure 2

(9M)�

� �

SET - 2 R16

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Code No: R161216

4. a) Determine the centroid of the semi-circle whose radius is R. (7M)�

b) Determine the position of the center of gravity of the shaded area OBD as shown

in the Figure 3. The curve OD is parabolic.

Figure 3

(7M)�

5. a) Describe the method of finding Moment of Inertia of composite areas. (7M)�

b) Find the Moment of Inertia about the centroidal axis in the given Figure 4.

Figure 4

(7M)�

6. a) A wheel accelerates uniformly from rest to a speed of 200 rpm in ½ sec. It then

rotates at that speed for 2 sec before decelerating to rest in 1/3 sec. How many

revolutions does it make during the entire time interval?

(7M)�

b) Two trains R and S start from rest simultaneously from stations A and B facing

each other with accelerations 0.5 m/s2and 2/3 m/s

2reaching their maximum speeds

of 90 kmph and 72 kmph respectively. If they cross each other midway between

the stations, find the distance between the stations and the time taken by each

other.

(7M)�

7. a) Determine the power required for lifting a weight of 10 kN at constant speed of 2

m/s. If the velocity is later on increased to 3 m/s within a duration of 2 seconds.

(5M)�

b) A projectile is fired with an initial velocity of 250m/s at a target located at a

horizontal distance of 4km and vertical distance of 700 m above the gun.

Determine the value of firing angle to hit the target. Neglect air resistance.

(9M)�

SET - 2 R16

2 of 2

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Code No: R161216

I B. Tech II Semester Regular Examinations, April/May - 2017

ENGINEERING MECHANICS

(Com. to CSE, IT, AGE)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Define the terms: (i) Fluid Friction; (ii) Angle of repose. (2M)�

b) What do you understand by a “Free Body Diagram”? (2M)�

c) With the help of a sketch, show where does the centroid of Hemisphere lie. (2M)�

d) Define the term Moment of Inertia. (2M)�

e) Distinguish between translation and rotational motion. (2M)�

f) Define the motion of fixed axis rotation and give an example. (2M)�

g) Discuss the advantages of work-energy theorem. (2M)�

PART -B

2. a) Three collinear horizontal forces of magnitude 150N, 450N and 300N are acting

on a rigid body. Determine the resultant of forces when (i) all the forces are

acting in the same direction; (ii) the force of 300N act in the same direction.

(7M)

b) In the given Figure 1, weights of two blocks A and B are 100N and 150 N

respectively. Find the smallest value of the horizontal force F to just move the

lower block B if (i) the block is restrained by a string; (ii) when the string is

removed.

Figure 1

(7M)�

3. a) The x, y and z components of a force are 30 kN, -25kN and 20 kN respectively.

Find the component of this force along the line joining A(2,3,-4) and B(-2,-3,3).

(5M)�

b) Two smooth spheres of weight 100N and radius 250 mm each are in equilibrium

each are in equilibrium in a horizontal channel of width 870 mm as shown in the

Figure 2. Find the reactions at the surfaces of contact A, B, C, D assuming all

surfaces to be smooth.

Figure 2

(9M)�

� �

SET - 3 R16

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Code No: R161216

4. a) Deduce an expression to determine the centroid of a triangle of base ‘b’ and

height ‘h’.

(7M)�

b) Find the center of gravity of the shaded area under the curve as shown in Figure

3.

Figure 3

(7M)�

5. a) Derive an equation for moment of inertia of a Rectangle. (7M)�

b) Find the Moment of Inertia of the centroidal axis as shown in the Figure 4.

Figure 4

(7M)�

6. a) A fly wheel has its angular speed increased from 20 rad/s to 75 rad/s in 100

seconds. If the diameter of the wheel is 2 m, determine the normal and tangential

components of the displacement of the point during this time period.

(7M)�

b) A burglar’s car had a start with an acceleration of 2 m/s2. A police vigilant party

came after 5 seconds and continued to chase the burglar’s car with a uniform

velocity of 20 m/s. Find the time taken, in which police will overtake the car.

(7M)�

7. Two blocks A and B of masses 10 kg and 5 kg are connected with cord and

pulley system as shown in the Figure 5. Determine the velocity of each block

when the system is started from rest and block B gets displacement by 2 m.

Consider µk=0.2 between block A and horizontal surface.

Figure 5

(14M)�

SET - 3 R16

2 of 2

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Code No: R161216

I B. Tech II Semester Regular Examinations, April/May - 2017

ENGINEERING MECHANICS

(Com. to CSE, IT, AGE)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) State the laws of Coulomb friction. (2M)�

b) How free body diagram is constructed? (2M)�

c) With the help of a sketch, show where does the centroid of right circular solid

cone lie.

(2M)�

d) Define the term Radius of Gyration. (2M)�

e) For a rotating body, define (i) angular velocity; (ii) angular acceleration. (2M)�

f) State the advantage of energy and momentum methods in the analysis of plane

motion of rigid bodies.

(2M)�

g) What do you mean by coplanar concurrent force system? (2M)�

PART -B

2. a) The resultant of two concurrent forces is 2500N and the angle between the forces

is 900. The resultant makes an angle of 46

0 with one of the forces. Find the

magnitude of each force.

(7M)

b) Block A has a mass of 20 kg and block B has a mass of 10 kg in the Figure 1.

Knowing that µs=0.15 between all surfaces of contact, determine the value of �

for which for which motion will impend. Take acceleration due to gravity = 10

m/s2.

Figure 1

(7M)�

3. a) A force of 450N forms angles of 450, 120

0 and 60

0 with X, Y and Z axes

respectively. Find the components Fx, Fy and Fz of the force.

(5M)�

b) Two cylinders P and Q in a channel are as shown in the Figure 2. The cylinder P

has a diameter of 100 mm and weight 200 N and Q has 180 mm and 500 N.

Determine the reaction at all contact surfaces.

Figure 2

(9M)�

� �

SET - 4 R16

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Code No: R161216

4. a) Determine the centroid of the quarter-circle whose radius is R. (7M)�

b) Find the center of gravity of the shaded area shown in the Figure 3.

Figure 3

(7M)�

5. a) Derive an equation for moment of inertia of a Circle. (7M)�

b) Calculate the Moment of Inertia about the centroidal x and y for the section shown

in the Figure 4.

Figure 4

(7M)�

6. a) The motion of a flywheel around its geometrical axis is described by the equation:

�=15t2+3t+2 rad/s and angular displacement is 160 radians at t=3 seconds. Find

the angular acceleration, velocity, displacement at t = 1 second.

(7M)�

b) An aircraft moving horizontally at a speed of 360 kmph and at a height of 490 m

towards a target on the ground, releases a bomb, which hits a target. Find (i) Time

required for the bomb to reach the target on the ground; (ii) the velocity and the

direction with which the bomb hits the target.

(7M)�

7. Two blocks of masses M1 and M2 are connected by a string as shown in Figure 5.

below Assuming the coefficient of friction between block M1 and the horizontal

surface to be � if the system is released from rest, find velocity of the block A

after it has moved a distance of 1 m Assume M1=100kg.and M2=150kg and

� =0.20.

Figure 5

(14M)�

2 of 2

SET - 4 R16

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Code No: R161201

I B. Tech II Semester Regular Examinations, April/May - 2017

ENGLISH-II (Com. to All Branches)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) What is the layman’s view of atomic bomb? How right is he in thinking so? (2M)�

b) Define culture shock with various symptoms of it. (2M)�

c) What is public health surveillance and why is it important? (2M)�

d) What was the program Gates developed along with his friend and how did he market

it?

(2M)�

e) What were Kalam’s contributions to DRDO? (2M)�

f) Name any two European scientists Bhabha was associated with and their

contributions to the scientific world.

(2M)�

g) What was Branley’s experiment and what is its importance?

(2M)�

PART –B

2. a) How is the knowledge given by science different from what is acquired through

education? Give examples from your learning experiences to support your answer.

(5M)

b) Mention any four great qualities of Dr. Kalam that made the world recognize him as

a great scientist and leader.

(4M)�

c) Write a letter to the Regional Manager of South Central Railways, Vijayawada

complaining about the luggage/parcel you have not received which your friend has

sent from IIT Mumbai.

(5M)

3. a) Who do you think is to be held responsible for the destruction created by

technology? Support your opinion with suitable examples.

(5M)�

b) Write an email to your principal with a copy to your head of the department, asking

him/her to permit your class to go on an industrial & educational tour for a week.

(4M)�

c) List out the awards and achievements of Sir C.V. Raman.

(5M)�

� �

SET - 1 R16

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Code No: R161201

4. a) How should one avoid culture shock before experiencing it when one goes to a new

place? What precautions would help in living peacefully in a new place of new

culture?

(5M)�

b) Fill in the blanks with suitable forms of the verbs given in the parenthesis.

She __________________ (look) for a house for the past one month. Finally, she

________________ (find) one that suits her requirements. She _____________

(want) a house that has a small garden and space to ____________ (park) her car.

She ________ ( say) she ___________ (love) to live in a house that __________

(have) cross ventilation. She ________________ ( move) into it tomorrow.

(4M)�

c) Name the discoveries and inventions that Bhabha was associated with. How did they

help him contribute better to our country?

(5M)�

5. a) How did lottery in the village change the lives of the people? What could be done to

make the villagers’ lives better?

(5M)�

b) Why and how do you think J.C.Bose remained an ideal scientist in principle and

practice? State instances from his life that support your opinion.

(4M)�

c) Write an essay on “Importance of Technical Education” in about 300 to 350 words.

(5M)�

6. a) What kind of health problems are common in India in relation to climate changes?

What steps are to be taken by the public and government to prevent health hazards

caused due to climate changes?

(5M)�

b) Give a note on P.C. Ray’s discoveries and their properties. (5M)�

c) Give one word substitutes for the following and use the word in your own

sentence:

i) Hard to please

ii) A great lover of books

iii) Having a ready disposition to fight

iv) Someone who is the first to think/make something

(4M)�

7. a) What do you think are the qualities of Bill Gates that made him a successful

professional? Give examples from the text to support your answer.

(5M)�

b) How did Hardy help Ramanujan personally and professionally? (5M)�

c) Rewrite the following sentences correcting the errors:

i) I started late at my house. Thought I can take a cab to reach my office in time.

ii) He plays football when he was free.

iii) He drunk coffee everyday when he was young.

iv) Had your breakfast in the morning?

(4M)�

SET - 1 R16

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Code No: R161201

I B. Tech II Semester Regular Examinations, April/May – 2017

ENGLISH-II (Com. to All Branches)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) What is the foremost task of education according to the text “The Greatest Source-

Education”?

(2M)�

b) How is the attitude of the local people towards a person who is under culture

shock?

(2M)�

c) Who is Paul Allen and how did he contribute to Microsoft? (2M)�

d) Explain the process of lottery in the village and state whether it is democratic. (2M)�

e) What is Kalam’s role in SLV-3 project that made it successful? (2M)�

f) Explain Raman Effect. (2M)�

g) What were the unique achievements of Ramanujan?

(2M)�

PART -B

2. a) Does our education system help us find the difference between science and

education? Give reasons to support your point of view.

(4M)

b) What qualities of Abdul Kalam made him the world’s admirable scientist? How do

you think he has developed them?

(5M)�

c) Write a dialogue between you and your friend who has come from a school where

he is not very much exposed to English. He feels he is not fit for the course and

needs to quit. However, his previous ranks and marks show that he is brilliant.

Convince him instilling some courage using your soft skills. (Your dialogue cannot

be less than 10 exchanges-A+B)

(5M)

3. a) Who is to be held responsible for the destructive use of scientific inventions-

science or people? Give reasons/examples to support your opinion.

(5M)�

b) What were Raman’s contributions to Indian Institute of Sciences? (5M)�

c) Write an email to the regional manager of Samsung, complaining about the

malfunctioning of the refrigerator you bought last month. The service center

manager refused to take up the issue as the product is in the guarantee period. Give

details of your gadget and request for immediate action.

(4M)�

� �

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Code No: R161201

4. a) Why and when do variations in cultures lead to a shock to new comers? How do

you think one can avoid any kind of culture shock?

(5M)�

b) Why did Bhabha initiate Indian Nuclear programme? Do you think it is realistic

and necessary for a country like India? Give reasons.

(5M)�

c) Fill in the blanks with suitable forms of the verbs given in the parenthesis.

I ____________ (wait) for this news for the past one week. Finally, it

___________ (come) but none _______ (be) ready to accept it. Our teacher

________________________(leave) us to _________ (join) her family in Chennai.

She __________ (tell) me this a week ago but did not officially announce. She

________________ (vacate) her house tomorrow. So we ________________

(think) of giving her a farewell today evening.

(4M)�

5. a) Is lottery morally justified? Give reasons with examples from the story “The

Lottery”.

(5M)�

b) Why did J.C.Bose remain against patenting his inventions? (5M)�

c) Write an essay on “Importance of Digital Literacy in Rural India”.

(4M)�

6. a) What are the different measures the author talks about to manage health problems

caused due to climate changes?

(5M)�

b) What were the achievements and awards won by P.C. Ray? How did they

contribute to the scientific world?

(5M)�

c) Give one word substitutes for the following and use the word in your own

sentence:

i) A remedy for all diseases

ii) One who can speak two languages

iii) A word opposite in meaning

iv) A person who never drinks alcohol

(4M)�

7. a) What do you think is the role of Gates parents in his success? Can similar kind of

home environment lead to anyone’s success? Give reasons.

(5M)�

b) What were the circumstances that helped Ramanujan go to England and why did he

return to India?

(5M)�

c) Rewrite the following sentences correcting the errors:

i) I waved at my friend’s car. Thought he will stop to pick me up.

ii) They gathered under the tree and discusses the agenda of the meeting.

iii) She sung a very melodious song yesterday in the competition.

iv) You saw the doctor yesterday?

(4M)�

SET - 2 R16

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Code No: R161201

I B. Tech II Semester Regular Examinations, April/May – 2017

ENGLISH-II (Com. to All Branches)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) What is the scientific dilemma a layman is linked with and why? (2M)�

b) What is the role of language in helping us recover from culture shock? (2M)�

c) How is temperature directly related to the death rate of a place? (2M)�

d) What did Gates feel about the free distribution of his software and what did he

write in his open letter?

(2M)�

e) How was Kalam involved with Pokhran-II project? (2M)�

f) How was TIFR founded and what were its research areas? (2M)�

g) Name the top most award in the field of science that Bose received. What was it

given for?

(2M)�

PART -B

2. a) Describe how education can be the greatest source for civilization. Give suitable

examples to support your answer.

(5M)

b) Why do you think Dr. Kalam was nominated as President of India unanimously?

Give reasons highlighting his qualities/characteristics.

(4M)�

c) You are the president of the students’ union of your college. Write a letter to the

officer-in-charge of the hostels of your college explaining the problems faced by

the students. Suggest some solutions and request for immediate action.

(5M)

3. a) Is it possible to have a scientific invention without any evil effects? Support your

answer with suitable examples from our day to day use of scientific inventions.

(5M)�

b) Was Raman’s career as a scientist a smooth one? Give reasons to support your

answer.

(5M)�

c) Write an email to your district collector asking him to provide more beds and a

proper qualified doctor at all the health centers in the rural places of your district

which would improve the living conditions in the villages.

(4M)�

� �

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Code No: R161201

4. a) How is culture shock caused and what are the various strategies a person can adopt

to overcome culture shock?

(5M)�

b) How did Bhabha contribute to Atomic Energy Commission in India? (5M)�

c) Fill in the blanks with suitable forms of the verbs given in the parenthesis.

She __________________ (look) for a house for the past one month. Finally, she

________________ (find) one that suits her requirements. She _____________

(want) a house that has a small garden and space to ____________ (park) her car.

She ________ ( say) she ___________ (love) to live in a house that __________

(have) cross ventilation. She ________________ ( move) into it tomorrow.

(4M)�

5. a) Explain the practice of lottery in the village. Do you think it is the right one? Give

reasons to support your opinion.

(5M)�

b) Mention the famous devices designed by J.C.Bose. Describe their functioning and

importance.

(5M)�

c) Write an essay on “Importance of Protecting One’s Culture”.

(4M)

6. a) What kind of health problems do Indians face due to climate changes? How can they

be prevented?

(5M)�

b) Give details of contributions of P.C Ray as a scientist, entrepreneur and socialist to

India.

(5M)�

c) Give one word substitutes for the following and use the word in your own

sentence:

i) Detailed plan of a journey

ii) Person who works in the same department/office

iii) One who travels in space

iv) A small shop that sells fashionable clothes, cosmetics etc.

(4M)�

7. a) Explain the social services rendered by Bill Gates as Philanthropist. (5M)�

b) What were the strengths and weaknesses of Ramanujan as a mathematician

according to Hardy?

(5M)�

c) Rewrite the following sentences correcting the errors:

i) I keep smiling at the blind man at the bus stop. Although I knew he cannot see my

smile.

ii) She looked at the cake and immediately orders for it.

iii) She written the report yesterday.

iv) Had your lunch in the afternoon?

(4M)�

SET - 3 R16

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Code No: R161201

I B. Tech II Semester Regular Examinations, April/May – 2017

ENGLISH-II (Com. to All Branches)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Why does the author say that the ‘know-how’ produced by science and technology

is an ‘unfinished sentence’?

(2M)�

b) How can one control air pollution and manage it? (2M)�

c) How do people express their culture shock? (2M)�

d) What is public health surveillance and why is it important? (2M)�

e) What was Kalam’s role in building indigenous rockets in India? (2M)�

f) Describe the work of Raman that made him to achieve the Noble Prize. (2M)�

g) Name some awards P. C. Ray won. What were they given for? (2M)�

PART –B

2. a) What is the prime source for civilizations to come into existence and disappear?

Do you agree with the author’s argument? Justify.

(5M)

b) Why do you think Dr. Kalam is called “The Missile Man of India”? How did his

scientific contributions help our country?

(5M)

c) Write a letter to the Editor of the Hindu newspaper stating the present hot summer

days and the bad status of bus shelters that cannot give shade resulting in deaths

due to sunstroke at many places.

(4M)

3. a) Describe any modern invention that the present generation is obsessed with. Write

the positive and negative effects it has on the society. Who should be praised or

held responsible for these effects?

(5M)

b) What were the challenges Raman faced in his life and career? How did he

overcome them?

(5M)

c) Write an email to the regional manager of Whirlpool, complaining about the

malfunctioning of the washing machine you bought last month. The service center

manager refused to take up the issue as the product is in the guarantee period. Give

details of your gadget and request for immediate action.

(4M)

� �

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Code No: R161201

4. a) Elaborate with examples on how language variations contribute to culture shock. (5M)

b) How did Bhabha’s education help him contribute better to our country’s scientific

and academic progress?

(5M)

c) Fill in the blanks with suitable forms of the verbs given in the parenthesis.

I ____________ (wait) for this news for the past one week. Finally, it

___________ (come) but none _______ (be) ready to accept it. Our teacher

________________________(leave) us to _________ (join) her family in

Chennai. She __________ (tell) me this a week ago but did not officially

announce. She ________________ (vacate) her house tomorrow. So we

________________ (think) of giving her a farewell today evening.

(4M)

5. a) What is black box in the story “ The Lottery”? Who made it? When and why is it

significant?

(5M)

b) How could J.C. Bose establish the harmony between the living and non-living

worlds?

(5M)

c) Write an essay on “ Making India a Developed Country”

(4M)

6. a) Suggest some traditional measures to manage health problems caused due to

climate changes?

(5M)

b) How and when could P.C. Ray help his village people? (5M)

c) Give one word substitutes for the following and use the word in your own

sentence:

i) Incapable of being seen through

ii) One who talks to people to help solve their problems

iii) One who talks in sleep

iv) That which can be easily broken

(4M)

7. a) When and how did Bill Gates start building his own empire of business? Give the

details of each stage.

(5M)

b) How do you justify Srinivasa Ramanujan’s birthday being celebrated as

Mathematics day in India?

(5M)

c) Rewrite the following sentences correcting the errors:

i) I gave a good gift to my friend. Which I bought in Dubai.

ii) They ride through the tunnel and stopped at the other end.

iii) The peon rung the bell when the clock showed 12.

iv) You came to see me now?

(4M)

2 of 2

SET - 4 R16

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��

Code No: R161212

I B. Tech II Semester Regular Examinations, April/May - 2017

ENVIRONMENTAL STUDIES (Com. to ECE, CSE, EIE, IT, ECC)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Write about ecological succession. (2M)

b) Explain the concept of food chain. (2M)

c) What are the methods of conserving water resources? (2M)

d) Define biodiversity. (2M)

e) Write the classification of municipal solid waste. (2M)

f) List out the different types of land pollution. (2M)

g) Write about EIA. (2M)

PART –B

2. a) What are the structure and function of an ecosystem? (7M)

b) Write about Role of IT in Environment and human health.

(7M)

3. a) Describe various renewable sources of energy. (7M)

b) What are the methods of conservation soil erosion?

(7M)

4. a) What is biodiversity at global, national and local levels? (7M)

b) Write about endangered and endemic species of India.

(7M)

5. a) Write about classification and effects of urban and industrial solid waste. (7M)

b) Write the causes and effects and control methods of Air Pollution.

(7M)

6. a) Mention the different environmental acts and write about Water Act. (7M)

b) Discuss about Environmental ethics and issues connected.

(7M)

7. a) Define EIA and describe various stages of EIA along with methodologies. (7M)

b) Discuss EIA of a major thermal power project, as a case study.

(7M)

1 of 1

SET - 1 R16

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��

Code No: R161212

I B. Tech II Semester Regular Examinations, April/May - 2017

ENVIRONMENTAL STUDIES (Com. to ECE, CSE, EIE, IT, ECC)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Differentiate between primary succession and secondary succession. (2M)

b) Define food chain and ecological pyramids. (2M)

c) Write about man induced landslides. (2M)

d) What is meant by extinction of a species? (2M)

e) Write about e – waste management. (2M)

f) List out salient features of forest conservation act. (2M)

g) Write about environmental audit. (2M)

PART –B

2. a) What are the structure and function of an ecosystem? (7M)

b) Write about ecological succession.

(7M)

3. a) What are the effects of dams on forest and tribal people? (7M)

b) What is role of an individual in conservation of natural resources?

(7M)

4. a) What are different threats to bio diversity? (7M)

b) Discuss RAMSAR convention.

(7M)

5. a) Mention about different types of pollution briefly. (7M)

b) Name different types of air pollutants and sources of air pollution.

(7M)

6. a) Write about rain water harvesting. (7M)

b) Write about Water (Prevention and control of Pollution) Act.

(7M)

7. a) Write about Impact Assessment and its significance. (7M)

b) What are the stages involved in EMP and EIS?

(7M)

1 of 1

SET - 2 R16

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��

Code No: R161212

I B. Tech II Semester Regular Examinations, April/May - 2017

ENVIRONMENTAL STUDIES (Com. to ECE, CSE, EIE, IT, ECC)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) What is primary productivity? (2M)

b) What are the causes of acid rains? (2M)

c) Discuss about benefits of Dam construction. (2M)

d) Write about man and wild life conflicts. (2M)

e) Write about the sources of water pollution. (2M)

f) Write about Urban problems related to energy. (2M)

g) Write about environmental audit. (2M)

PART –B

2. a) Define environment. Write about global warming and climate changes. (7M)

b) Write about energy flow in ecosystem.

(7M)

3. a) What is deforestation? What are the causes of deforestation? (7M)

b) Write about use and over utilization of ground water.

(7M)

4. a) What is biodiversity at global, national and local levels? (7M)

b) Write about endangered and endemic species.

(7M)

5. a) Name different types of air pollutants and sources of air pollution. (7M)

b) What are the various methods of safe disposal of hazardous waste management?

Discuss.

(7M)

6. a) Write about rain water harvesting concept and its advantages. (4M)

b) What are the major issues and problems related to Resettlement and

Rehabilitation of displaced people during river valley projects?

(10M)

7. a) Define and Discuss ecotourism. (7M)

b) Write about the – Green business and Green politics.

(7M)

1 of 1

SET - 3 R16

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��

Code No: R161212

I B. Tech II Semester Regular Examinations, April/May - 2017

ENVIRONMENTAL STUDIES (Com. to ECE, CSE, EIE, IT, ECC)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Explain the concept of food chain and ecological niche. (2M)

b) Write about energy flow in ecosystem. (2M)

c) What are the conflicts over dams? Give an example. (2M)

d) Write about genetic diversity. (2M)

e) Write the classification of solid waste. (2M)

f) Discuss the problems involved in enforcement of Environmental Legislation. (2M)

g) Write the various stages of EIA. (2M)

PART -B

2. a) Write about Global warming and climate change. (7M)

b) Write in detail about forest ecosystem.

(7M)

3. a) Write in detail about energy resources. (7M)

b) What is Waste land reclamation?

(7M)

4. a) India a biodiversity nation-Explain. (7M)

b) What are the different uses of biodiversity?

(7M)

5. a) What are the causes, effects and control measures of noise pollution? (7M)

b) What are the causes, effects and control measures of water pollution?

(7M)

6. a) Write about environmental ethics. (4M)

b) What are different acts and explain about any one act in detail?

(10M)

7. a) What are the stages involved in preparation of EMP and EIS? (7M)

b) Brief about Environmental audit.

(7M)

1 of 1

SET - 4 R16

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Code No: R161203

I B. Tech II Semester Regular Examinations, April/May – 2017

MATHEMATICS-III (Com. to CE, EEE, ME, ECE, CSE, CHEM, EIE, IT, ECC, AE, AME, MM, PE, PCE, MET, AGE)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1.

a) Find the rank of a matrix � � � ��� � �� � ��� � � ������ (2M)

b) Prove that if is an eigen value of a matrix A then �� is an eigen value of the

matrix ��� if it exists. (2M)

c) Evaluate � � � ��������������������� . (2M)

d) Find the value of � ���� . (2M)

e) Find the angle between the surface �� �� �� � ! and � � �� �� � ��at (2,

-1, 2). (2M)

f) If "# � $%�� � &��'() $�� � *�'�+�, then evaluate �"#- �.#### along the curve � � �/ from the point (1, 1) to (2, 8). (2M)

g) Write the quadratic form corresponding to the symmetric matrix

�� * �� ��* �� � ����. (2M)

PART –B

2. a) Solve the system of equations �� � � �� � ��0 �� �� � � � ��0 �� ��� �� � �% by Gauss Jacobi method.

(7M)�

b) Find the currents in the following circuit

(7M)�

1 of 2

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Code No: R161203

3. a) Verify Cayley-Hamilton theorem and find the inverse of the matrix

� � � �� �� � ��� �� � ���� (7M)�

b) Reduce the quadratic form ��� ��� ���� � ��� � ��� � ��� to canonical

form by orthogonal transformation and hence find rank, index, signature and

nature of the quadratic form.

(7M)�

4. a) Trace the curve 1� � 2�345�6. (7M)�

b) Evaluate � � ��7��8�97� ������ by changing the order of integration.

(7M)�

5. a) Express � �:$� � �;'<�� �� in terms of �� functions and hence evaluate

� ��$� � �/'���� ��.

6M)�

b) Evaluate � 5=>�6�345?6�@�� �6 by using A0 � functions.

(4M)�

c) Express � B�$* � �'/ �C ���D�� in terms of A function.

(4M)

6. a) Show that the vector field "# � $�� � ��'() $�� � ��'+) $�� � ��'�E�, is

conservative and find the scalar potential function corresponding to it.

(7M)�

b) Show that F- $"# G H)' � H)- $F G "#' � "#- $F G H)'

(7M)�

7. State Stoke’s theorem and verify the theorem for�", � $� �'() $� �'+) � �E# and S is the surface of the plane �� � � � �, which is in the first octant.

(14M)�

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R16 SET - 1

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Code No: R161203

I B. Tech II Semester Regular Examinations, April/May – 2017

MATHEMATICS-III (Com. to CE, EEE, ME, ECE, CSE, CHEM, EIE, IT, ECC, AE, AME, MM, PE, PCE, MET, AGE)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1.

a) Determine the rank of a matrix � � � I� �� � � *�� �% �������*�%&J. (2M)

b) Use Cayley-Hamilton theorem to find �K if � � � L� �� ��M. (2M)

c) Evaluate � � � ���������������� . (2M)

d) Find the value of � �� ���. (2M)

e) Find unit normal vector to the surface ��� ���� � at the point (1, 0, 2). (2M)

f) If "# � $3�� &�'() � �*���+�, ����E# then evaluate �"#- �.#### from (0, 0, 0) to

(1, 1, 1) along the path � � �N0 � � N�, � � N/. (2M)

g) Write the quadratic form corresponding to the symmetric matrix

O % �C �% �C � �� � ����P (2M)

PART –B

2. a) Show that the system of equations is consistent �� � � � � � �0 � �� � � �0 *� � �� � %� � � and solve.

(7M)�

b) Find the currents in the following circuit

(7M)�

1 of 2� �

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Code No: R161203

3. a) Reduce the quadratic form &��� ����� ��/� � *���� � ����/ *���/ to

canonical form and hence state nature, rank, index and signature of the quadratic

form.

(7M)�

b) Determine the natural frequencies and normal modes of a vibrating system for

which mass Q � L� �M and stiffness E � L� �� �M.

(7M)�

4. a) Trace the curve ��$�2 � �' � �/. (7M)�

b) Evaluate � � R�$�����'S�S� ���� by changing in to polar coordinates and hence

deduce � R���S� �� � �BT� .

(7M)�

5. a) Show that A$Q0 >' � U$:'U$;'U$:�;' . 6M)�

b) Evaluate � 5=>D6�345�6�@�� �6 by using A0 � functions.

(4M)�

c) Express � �$���V'W VC ���� in terms of A function.

(4M)

6. a) Show that the vector field "# � $�� ���'() $�� ���'�+�, is conservative and

find the scalar potential function.

(7M)�

b) Show that F$F- "#' � F G $F G "#' F�"#.

(7M)�

7. State Greens theorem in plane and verify the theorem for X Y$� � 5=>�'�� Z345����[0 where C is the plane triangle formed by the lines � � 0 � � T�0� � � � �T � .

(14M)�

2 of 2�

R16 SET - 2

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Code No: R161203

I B. Tech II Semester Regular Examinations, April/May – 2017

MATHEMATICS-III (Com. to CE, EEE, ME, ECE, CSE, CHEM, EIE, IT, ECC, AE, AME, MM, PE, PCE, MET, AGE)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1.

a) Determine the rank of a matrix � � � I� � �� * ��& � ��������%J.

(2M)

b) Use Cayley-Hamilton theorem and find ��� if � � � L� *� �M. (2M)

c) Evaluate � � � 1����1��$9�\]�'9�7^_;`�@�� 6.

(2M)

d) Show that A ��� 0 ���� � �a. (2M)

e) Find directional derivative of b � ��� ��� at the point (2,-1,1) in the direction

of the vector () ��+�, ��E�, .

(2M)

f) If "# � $�� � �'() $��� � �'�+�, ���E# then evaluate �"#- �.#### where C is the

straight line joining the points (0, 0, 0) to (1, 2, 4).

(2M)

g) Write the quadratic form corresponding to the symmetric matrix

�� % % % * * �����. (2M)

PART –B

2. a) Solve the system of equations �� � � � ��0 �� �� � � ��0 �� �� �� � �* by Gauss Seidel method.

(7M)�

b) Find the currents in the following circuit �

(7M)�

1 of 2� �

R16 SET - 3

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Code No: R161203

3. a) Reduce the quadratic form ��� %�� ���� � ��� � ��� ��� to canonical

form by orthogonal transformation and hence find the rank, index signature and

nature of the quadratic form.

(7M)�

b) Find the natural frequencies and normal modes of a vibrating system Q�cc E� � �for mass Q � L� �M and stiffness E � L ! ���� � M.

(7M)�

4. a) Trace the curve 2��� � ��$2� � ��'. (7M)�

b) Evaluate � � �����B��� ���� by changing the order of integration.

(7M)�

5. a) Show that � ���� � Ba. 6M)�

b) Evaluate � 5=>�6�@�� �6 by using A0 � functions.

(4M)�

c) Express � � ��d�B���e�� in terms of A function.

(4M)

6. a) Find the constants a, b such that the surfaces %�� � ��� � !� � and 2��� f�/ � * cut orthogonally at (1,-1,2).

(7M)�

b) Show that F G $F G "#' � �F$F- "#' � F�"#.

(7M)�

7. State Gauss divergence theorem in plane and verify the theorem for "# � *��() ����+�, ���E# over the cube � � 0 � � �0 � � 0 � � ��0 � � 0 � � � .

(14M)�

2 of 2�

R16 SET - 3

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Code No: R161203

I B. Tech II Semester Regular Examinations, April/May – 2017

MATHEMATICS-III (Com. to CE, EEE, ME, ECE, CSE, CHEM, EIE, IT, ECC, AE, AME, MM, PE, PCE, MET, AGE)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answering the question in Part-A is Compulsory

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1.

a) Find inverse of the matrix � � � ��� � � �� � ���� �* �*��� by elementary operations.

(2M)

b) Prove that if is an eigen value of a matrix A then ghgi is an eigen value of adjA. (2M)

c) Evaluate � � � ����������������� . (2M)

d) Determine the value of A$�0 ��'. (2M)

e) Show that Fjk � j�Fk k�Fj. (2M)

f) If "# � ����() ��+�, then evaluate � "#- �.####Z where C is the curve �� � *� in the

XY plane from (0, 0) to (4, 4).

(2M)

g) Write the quadratic form corresponding to the symmetric matrix

� � �� %�� � ��% �� � ���� (2M)

PART –B

2. a) Solve the system of equations � �� � � &0 �� � � � &0 � � �� � &�by Gauss Seidel method.

(7M)�

b) Find the currents in the following circuit

(7M)�

1 of 2�

R16 SET - 4

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Code No: R161203

3.

a) Verify Cayley-Hamilton theorem for the matrix � � � ���� � ��� � ��� �� � ����and hence

find �D . (7M)�

b) Reduce the quadratic form ���� %���� ��/� � ����� � ����/ ����/ to

canonical form and hence state nature, rank, index and signature of the quadratic

form.

(7M)�

4. a) Trace the curve 1 � 2�5=>�6. (7M)�

b) Evaluate � � ����� ���B7�����7� ���� by transforming to polar coordinates.

(7M)�

5. a) Establish a relation between A and � functions. 6M)�

b) Evaluate � 345?6�@�� �6 by using A0 � functions.

(4M)�

c) Express � � ��d�����l�� in terms of A function.

(4M)

6. a) Find the angle between the surfaces 2�� ��� �� � �� � ��and conservative f��� ���� � � �� at (1, 1, 0).

(7M)�

b) Show that "# � $�� � �� ��� � ��'�() �$��� ���'+�, �$��� � ��� ��'E# is both solenoidal and irrotational.

(7M)�

7. a) State Greens theorem in plane and apply the theorem to evaluate X ������ Z�/���0 where C is the closed path formed by � � �0���� � � �/ from (0, 0) to (1, 1).

(7M)�

b) Evaluate � "#-m ��5### using Gauss divergence theorem, where "# � ����() ����+�, ���E# and S is the surface of the region bounded by � � 0 � � �0 � � 0�� � ��� � &-�

(7M)

2 of 2�

R16 SET - 4

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��

Code No: R161215

I B. Tech II Semester Regular Examinations, April/May - 2017

OBJECT ORIENTED PROGRAMMING THROUGH C++ (Com. to CSE, IT)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) What is a class? Give an example. (2M)�

b) Define scope and lifetime of a variable. (2M)�

c) What is a virtual base class? (2M)�

d) What is a dereferencing Operator? (2M)�

e) What features of C++ enable polymorphism? (2M)�

f) What is an iterator in STL? (2M)�

g) What is a copy constructor? (2M)�

PART -B

2. a) List the drawbacks of conventional programming. Explain how object oriented

programming overcome them.

(7M)

b) Explain about polymorphism and encapsulation.

(7M)�

3. a) What are recursive constructors? Explain with an example. (7M)

b) Define inline function. Write a C++ program for finding the area of a triangle using

inline functions.

(7M)�

4. a) What is inheritance? Present the advantages and disadvantages of inheritance. (7M)

b) Write C++ Program to overload + operator to add two matrices.

(7M)�

5. a) What is a virtual destructor? Explain with an example. (7M)

b) Explain the role of this pointer in C++ with a programming example.

(7M)�

6. a) Write a C++ program to add two integers, two floating point numbers and two

complex numbers using class templates. (7M)

b) Explain how to catch multiple exceptions in C++.

(7M)�

7. a) Write a function template for finding the minimum value in an array. (7M)

b) Discuss about STL programming model.

(7M)�

1 of 1

SET - 1 R16

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��

Code No: R161215

I B. Tech II Semester Regular Examinations, April/May - 2017

OBJECT ORIENTED PROGRAMMING THROUGH C++ (Com. to CSE, IT)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Define a class and an object. (2M)�

b) With an example, explain the purpose of scope access operator. (2M)�

c) List some C++ operators that cannot be overloaded. (2M)�

d) How to declare a pointer in C++? (2M)�

e) What is the primary difference between early binding and late binding? (2M)�

f) What is an algorithm in STL? (2M)�

g) Write the purpose of a destructor. (2M)�

PART –B

2. a) List the similarities and differences between C and C++. (7M)

b) Write about inheritance and abstraction.

(7M)�

3. a) What is function overloading? What are the principles of function overloading? (7M)

b) Write C++ Program that demonstrates the usage of static data member and static

member function.

(7M)�

4. a) Explain hybrid inheritance with a C++ example. (7M)

b) Explain the concept of Data hiding in C++, with suitable examples.

(7M)�

5. a) What is a virtual base class? Why it is important to make a class virtual? (7M)

b) Write a C++ program that declare and use pointer to a class.

(7M)�

6. a) Explain the concept of Class Template with overloaded operators. (7M)

b) Write a C++ program that implements Bubble Sort using function templates.

(7M)�

7. a) Write a C++ program to insert elements into a map. (7M)

b) Explain different ways of initializing a vector with programming examples.

(7M)�

1 of 1

SET - 2 R16

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��

Code No: R161215

I B. Tech II Semester Regular Examinations, April/May - 2017

OBJECT ORIENTED PROGRAMMING THROUGH C++ (Com. to CSE, IT)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) List some operators in C++, which are not present in C. (2M)�

b) What is a constructor? (2M)�

c) What is a friend function? (2M)�

d) Define namespace. (2M)�

e) How is polymorphism achieved at runtime? (2M)�

f) What is a list in C++ STL? (2M)�

g) What happens if we declare all member functions as private in a class? (2M)�

PART –B

2. a) Explain the key concepts of Object Oriented Programming. (7M)

b) Briefly write about the evolution of C++.

(7M)�

3. a) Write C++ program to find the area of a circle, rectangle and triangle using

function overloading.

(7M)

b) What is a constructor? Write different rules associated with declaring constructors.

(7M)�

4. a) What is code reusability? Explain different C++ features that enable reusability. (7M)

b) Write about operator overloading in C++ with an example.

(7M)�

5. a) What is dynamic binding? How it is different from static binding? List some

advantages of dynamic binding over static binding.

(7M)

b) List and explain the rules associated with virtual functions.

(7M)�

6. a) Define template. What is the need for templates in programming? Write C++ code

that declares a Template class.

(7M)

b) Write a C++ program that catches any math exception.

(7M)�

7. a) Explain the components of Standard Template Library (STL). (7M)

b) Write a C++ program that fills a vector with random numbers.

(7M)�

1 of 1

SET - 3 R16

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��

Code No: R161215

I B. Tech II Semester Regular Examinations, April/May - 2017

OBJECT ORIENTED PROGRAMMING THROUGH C++ (Com. to CSE, IT)

Time: 3 hours Max. Marks: 70

Note: 1. Question Paper consists of two parts (Part-A and Part-B)

2. Answer ALL the question in Part-A

3. Answer any FOUR Questions from Part-B

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PART –A

1. a) Write C++ code that reads two numbers from user and prints their sum. (2M)�

b) List different access specifiers in C++. (2M)�

c) Define an abstract class. (2M)�

d) What is a pure virtual function? (2M)�

e) List the keywords used in exception handling along with their purpose. (2M)�

f) What is a map in STL? (2M)�

g) What are anonymous objects in C++? (2M)�

PART –B

2. a) Present the structure of C++ program. Explain different elements in it. (7M)

b) Write C++ code that defines a class and declares an array of objects to that class.

(7M)�

3. a) Explain about default and parameterized constructors with suitable examples. (7M)

b) Write C++ program to add two complex numbers using friend functions.

(7M)�

4. a) What are different types of inheritance supported by C++? Give an example for

each.

(7M)

b) Write a C++ program to overload increment operator.

(7M)�

5. a) Write a C++ program to demonstrate pointers to base and derived classes. (7M)

b) Discuss about virtual functions with a C++ example.

(7M)�

6. a) What is a template function? How to overload template functions in C++? (7M)

b) How to handle exceptions that arise in constructors? Explain with an example.

(7M)�

7. a) Explain about different types of containers. (7M)

b) Write a C++ program that erases all elements in a list using iterators. (7M)�

1 of 1

SET - 4 R16


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