Code No: R21013 R10 II B. Tech I Semester … me-all.pdfCode No: R21013 II B. Tech I Semester...

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Code No: R21013

II B. Tech I Semester Supplementary Examinations, June - 2015

ELECTRICAL AND ELECTRONICS ENGINEERING

(Com. to CE, ME, CHEM, PE, AME, MM)

Time: 3 hours Max. Marks: 75

Answer any FIVE Questions

All Questions carry Equal Marks

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

1 Six resistors are connected as shown in figure 1?. If a battery having an emf of

30V and an internal resistance of 2 is connected to terminals A and B. Find

i) Current supplied from battery

ii) Potential difference across 8 ohms resistance.

Figure 1

2 a) Explain the basic Principle of DC generator

b) A 6 pole wave wound dc generator is having 50 slots with 25 conductors per slot and

rotating at 1500 rpm. The flux per pole is 0.015 wb, calculate the emf generated?

3 a) Explain the procedure for performing the open circuit test on a single phase

transformer? What is the information obtained from this test?

b) A 230/400 V single phase transformer has 800 turns on primary. The maximum flux

density in the core is 1.5 Wb/m2. Calculate the number of turns on secondary, area of

cross section and maximum flux in the core.

4 a) What are the merits and demerits of induction motor

b) A 4pole, 3-phase, 50Hz star connected alternator has a single layer winding in 36 slots

with 30 conductors per slot. The flux per pole is 0.05wb and winding is full pitched.

Find the synchronous speed and the emf induced on no-load?

5 a) Explain the working of P-N junction diode.

b) Describe the full wave rectifier with neat diagrams?

6 a) Compare the input and output characteristics of BJT in the three configuration?

b) Explain the V-I characteristics of SCR?

7 a)

b)

Describe the induction heating with diagram

Explain various types induction heating and their applications

8 a) Describe the principle of piezo- electric tranducer

b) Discuss how to measure the voltage , current and frequency with CRO

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Code No: R21013


ELECTRICAL AND ELECTRONICS ENGINEERING (Com. to CE, ME, CHEM, PE, AME, MM)




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1 a)

b)

Explain the star to delta transformation with a simple example

Explain the concept of series and parallel circuits

2 a) Explain the purpose of

(i) Pole shoe, (ii) Carbon brushes and (iii) Slotted armature in a DC machine.

b) A dc generator develop an emf of 220V at 1200 rpm with a flux per pole is 0.01 wb.

What will be the flux value to induce the 240 volts at 1400 rpm?

3 a) Explain briefly the operation of a transformer and sketch phasor diagram on no-load

b ) The Short-circuit test is conducted on a 5KVA, 400V/100 V single phase transformer

with 100 V winding shorted. The input voltage at full load current is 40 V. The

wattmeter, on the input reads 250 W. Find the power factor for which regulation at

full load is zero.

4 a) Discuss the principle of operation of 3-Phase induction Motor

b) A 4-pole alternator is run at a speed of 1500rpm. What is the frequency of the armature emf?

If the number of poles is 2 at what speed should it be run so that the armature emf has the

same frequency?

5 Explain the forward and reverse biasing of the P-N junction diode.

6 a) Compare CE, CC and CB amplifier in terms of voltage and current gains and input

and output impedances.

b) How a transistor acts as an amplifier? Explain?

7 Describe the dielectric heating with diagrams? List out its merits and demerits

8 a) Describe the principle of Thermocouple

b) Explain the applications of CRO

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1 Determine the currents in all the bridge arms of the circuit as shown in figure below.

Find the value of the current through the galvanometer, and its direction (G is

galvanometer, and all resistance are in ohms).

2 a) Discuss the Significance of back EMF

b) A 230V motor has an armature circuit resistance of 0.8Ω. If the full load armature

current is 25A and the no load armature current is 6A. Find the change in back e.m.f

from no-load to full-load.

3 a) Explain the procedure for performing the short circuit test on a single phase transformer?

What is the information obtained from this test?

b) A 220/440 V single phase transformer has 1000 turns on primary. The maximum flux

density in the core is 1.2 Wb/m2. Calculate the number of turns on secondary, area of

cross section and maximum flux in the core.

4 a) Describe predetermination of regulation of an alternator from the O.C and S.C tests?

b) If the current in the stator of an 4-pole, 3-phase induction motor has a frequency of 50Hz

and that in the rotor is 2 Hz. Determine the slip and speed of the motor?

5 Explain the operation of a centre tap full wave rectifier. Show its input and output waveforms.

Also list its disadvantages.

6 a) Draw the V-I characteristics of an SCR and explain?

b) Explain the necessity conditions for oscillators

7 a) What are the advantages and disadvantages of induction heating

b) Explain the generation of Ultrasonic’s? Give its applications

8 a) Describe the principle of LVDT.

b) Explain the operating principle of digital multimeter with neat diagram

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1 a) State and explain Ohm’s Law. What is the limitation of Ohm’s Law?

b) Calculate the magnitude and direction of current in the 10 ohms resistor. As shown in

following figure that the power delivered by source is equal to power dissipated in the

resistors. (All resistance is in ohms).

2 a) What are the various types of DC Motors and explain Shunt Wound Motor

b) A 220V motor has an armature circuit resistance of 0.6Ω. If the full load armature

current is 20A and the no load armature current is 5A. Find the change in back e.m.f

from no-load to full-load.

3 a) State and prove the condition for maximum efficiency of a transformer?

b) A 230/115 V single phase transformer takes a no load current of 2A at a power factor of

0.2 lagging with low voltage winding kept open. If the low voltage winding is now

loaded to take a current of 10A at 0.8 pf lagging find the current taken by high voltage

winding.

4 a) Define i) Pitch factor ii) Distribution factor

b) A 6-pole, 100 HP, 3-phase, 440-V, 50Hz induction motor has a slip of 5% on full load.

Calculate the speed of the motor?

5 Explain the operation of a full wave bridge rectifier. Show its input and output

waveforms. Also mention its advantages and disadvantages.

6 a) How to get saturation and cutoff regions in a transistor operation

b) Explain the SCR Characteristics and its applications.

7 a) What are the advantages and disadvantages of dielectric heating

b) Explain the flow detection in ultrasonic with necessary diagram

8 a) Describe the principle of strain gauge.

b) Explain the frequency measurement with CRO

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Code No: R21031


ENGINEERING MECHANICS (Com to ME, AE, AME, MM)




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1. a) State and prove Varignon’s theorem (or) principle of moments.

b) Two forces of magnitude 240 N and 200 N are acting at a point O as shown in Figure 1. If

the angle between the forces is 60°,determine the magnitude of the resultant force and also

determine the angle β and ϒ as shown in the Figure 1. (7M+8M)

2. Two smooth circular cylinders, each of weight W=1000 N and radius 15 cm are connected at

their centre’s by a string AB of length 40 cm and rest upon a horizontal plane, supporting

above them a third cylinder of weight 2000 N and radius 15 cm as shown in Figure 2. Find the

force S in the string AB and the pressure produced on the floor at the points of contact D and E.

(15M)

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Code No: R21031

3. a) Find the center of gravity of the I section shown in Figure 3.

b) Determine the centroid of the parabolic spandrel. (8M+7M)

4. Determine the Polar moment of inertia of the I-Section shown in Figure, All Dimensions are in

mm. (15M)

5. A truss of span 5 m is loaded as shown in Figure. Find the reactions and forces in the members

marked 4, 5 and 7 using method of sections. (15M)

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Code No: R21031

6. The initial angular velocity of a rotating body is 2 rad/s and initial angular acceleration is zero.

The rotation of the body is according to the relation α = 3t2

- 3. Find (i) angular velocity (ii)

Angular displacement when t= 5 seconds. Consider the angular displacement in radians and

time in seconds. (15M)

7. A tram car weighs 120 kN, the tractive resistance being 5 N / kN. What power will be required

to propel the car at a uniform speed of 20 kmph?

i) On level surface ii) p an incline of 1 in 300 and iii) Down an inclination of 1 in 300? Take

efficiency of motor as 80%. (15M)

8. a) What is solid friction? If a body of weight 70 N is placed on a rough horizontal

plane. To just move the body on the horizontal plane, a push of 20N incline at 20° to the

horizontal plane is required. Find the co-efficient of friction.

b) A uniform ladder of length 10 m and weighing 20 N is placed against a smooth vertical wall

with its lower end 8 m from the wall. In this position the ladder is just to slip. Determine

the co-efficient of friction between the ladder and the floor and Frictional force acting on the

ladder at the point of contact between ladder and floor. (8M+7M)

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1. a) State and Prove Law of parallelogram of forces.

b) Four forces of magnitude 10kN, 15kN, 20kN and 40 kN are acting at a point O as shown in

Figure The angles made by 10 kN, 15 kN, 20 kN, and 40 kN with X-axis are 30°, 60°, 90°

and 120° respectively. Find the magnitude and direction of the resultant force. (8M+7M)

2. a) A simply supported beam of length 10 m, carries the uniformly distributed load and two

point loads as shown in Figure. Calculate the reactions RA and RB.

b) A simply supported beam of span 9 m carries a uniformly varying load from zero at end A to

900 N/m at end B. Calculate the reactions at the two ends of the support. (7M+8M)

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Code No: R21031

3. a) Find the center of gravity of the L-section shown in Figure.

b) Determine the centroid of the triangle of width b and height h. (7M+8M)

4. a) Determine the mass moment of inertia of the rectangular section About the X-X axis passing

through the C.G. of the section.

b) Determine the mass moment of inertia of a hollow circular cylinder. (8M+7M)

5. Determine the forces in the truss shown in Fig. Which is subjected to horizontal and vertical

loads. Mention the nature of forces in each case. (15M)

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Code No: R21031

6. A solid cylinder weighing 1200 N is acted upon by a force P horizontally as shown in Fig.

Determine the maximum value of P for which there will be rolling without slipping. If P= 1000

N, determine the acceleration of the mass centre and the angular acceleration, given that the co-

efficient of static friction µs = 0.2. and the co-efficient of kinetic friction µk = 0.15. (15M)

7. A cylinder weighing 500 N is welded at a 1m long uniform bar which weighs 200 N as shown

in Fig. Determine the angular velocity when the cylinder comes to lowest position. Determine

the angular acceleration also. Use work energy method. Assume the system is released from

horizontal rest position. (15M)

8. a) A pull of 20 N, inclined at 25° to the horizontal plane, is required just to move a body placed

on a rough horizontal plane. But the required to move the body is 25 N. If the push is

inclined at 25° to the horizontal, find the weight of the body and co-efficient of friction.

b) A Uniform ladder of weight 850 N and of length 6 m rests on a horizontal ground and leans

against a smooth vertical wall. The angle made by the ladder with the horizontal is 65°.

When a man of weight 750N stands on the ladder at a distance of 4m from the top of the

ladder, the ladder is at the point of sliding. Determine the co-efficient of friction between the

ladder and the floor. (8M+7M)

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1. a) Two forces are acting at a point O as shown in Figure. Determine the resultant in magnitude

and direction.

b) The resultant of two concurrent forces is 1500 N and the angle between the forces is 90°.

The resultant makes an angle of 36° with one of the force. Find the magnitude of each force.

(7M+8M)

2. a) State and prove Lami’s Theorem.

b) A body weighing 2000 N is suspended with a chain AB 2 m long. It is Pulled by a horizontal

force of 320 N as shown in Figure. Find the force in the chain and the internal displacement

(i.e., x) of the body. (6M+9M)

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Code No: R21031

3. a) Locate the center of gravity of the right circular cone of base radius r and height h.

b) Determine the centroid of the section of the concrete dam shown in Figure. (7M+8M)

4. a) State and Prove area moment of inertia perpendicular axis theorem.

b) Determine the moment of inertia of the shaded area shown in Figure. About edge AB.

(6M+9M)

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Code No: R21031

5. A truss of span 9 m is loaded as shown in Fig. Find the Reactions and the forces in the

members of the truss. (15M)

6. Two blocks A and B are released from rest on a 30°, when they are 18m apart as shown in Fig.

The co-efficient of friction under the upper block A is 0.2 and that under the lower block B is

0.4. In what time block A reaches block B? After they touch and move as a single unit, what

will be the contact force between them? Weights of the blocks A and B are 100 N and 80 N

respectively. (15M)

7. Determine the tension in the strings and the velocity of 1500 N block shown in Fig. 5 seconds

after starting from (i) rest (ii) starting with a downward velocity of 3 m/s. Assume pulleys

as weightless and frictionless pulleys. (15M)

8. a) A cord connects two bodies of weights 300 N and 800 N. The two bodies are placed on an

inclined plane and cord is parallel to the inclined plane. The co-efficient of friction for the

weight of 400 N is 0.15 and that for 800 N is 0.4. Determine the inclination of the plane to

the horizontal and the tension in the cord when the motion is about to take place, down the

inclined plane. The body weighing 400 N is below the body weighing 800 N.

b) A screw-jack is used to lift a load of 3 kN. The screw of the screw-jack is square threaded

with two threads to1.2cm. If the co-efficient of friction between the nut and the screw is

0.09 and the outer diameter of the screw is 6 cm, find the force required at the end of the

handle of length 60 cm to lift the load. (8M+7M)

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1. a) Two forces acting on a body are 500 N and 1000 N as shown in Fig. Determine the third

force F such that the resultant of all the three forces is 1000 N directed at 45° to x-axis.

b) Determine the resultant of three forces acting on a hook as shown in Fig. (8M+7M)

2. Two identical rollers, each of weight W = 1000 N, are supported by an inclined plane and a

vertical wall as shown in Fig. Find the reactions at the points of supports A, B and C. Assume

all the surfaces to be smooth. (15M)

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Code No: R21031

3. a) Determine the center of gravity of a solid hemisphere of radius r from its diametral axis.

b) Determine the centroid of the area shown in Fig. With respect to the axis shown. (7M+8M)

4. a) Find the mass moment of inertia of the solid cone of height h and base radius R about its

axis of rotation.

b) Determine the moment of inertia of the built up section shown in the Fig. About an axis AB

passing through the top most fiber of the section as shown. (9M+6M)

5. Analyse the truss shown in Figure. (15M)

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Code No: R21031

6. a) What is instantaneous axis of rotation. And find the angle of projection, when a body is

projected at an angle such that its horizontal range is 3 times the maximum height.

b) Find the least initial velocity with which a projectile is to be projected so that it clears a wall

of 4 m height located at a distance of 5 m, and strike the ground at a distance 4 m beyond

the wall as shown in Fig. The point of projection is at the same level as the foot of the wall.

(7M+8M)

7. A flywheel weighing 50 kN and having radius of gyration 1m loses its speed from 400 rpm to

280 rpm in 2 minutes. Calculate (15M)

i) The retarding torque acting on it.

ii) Change in its kinetic energy during the above period.

8. a) What about be the value of the angle θ in Fig. So that the motion of the 90 N block impends

down the plane? The co-efficient of friction µ for all the surfaces is 1/3.

b) A body of weight 450 N is pulled up along an inclined plane having inclination 30° to the

horizontal at a steady speed. Find the force required if the co-efficient of the friction

between the body and the plane is 0.25 and force is applied parallel to the inclined plane. If

the distance travelled by the body is 10 m along the plane, find the work done on the body.

(8M+7M)

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Code No: R21021


FLUID MECHANICS AND HYDRALICS MACHINES (Com. to EEE, ME, MM)




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1 a) What is viscosity? Why it is important in fluid mechanics? Define Kinematic and

dynamic viscosity.

[8]

b) A plate (2m x 2m ), 0.25 mm distant apart from a fixed plate, moves at 40 cm/s

and requires a force of 1 N. Determine the dynamic viscosity of the fluid in

between the plates.

[7]

2 a) Distinguish between (i) steady and unsteady flow (ii) uniform and non-uniform

flow (iii) irrotational and rotational flow.

[8]

b) Calculate the velocity components u and v for the following (i) φ = x +y

(ii) φ = x2 + y

2

[7]

3 a) Derive an expression for the loss of head due to friction in flow through circular

pipes.

[8]

b) A venture meter has its axis vertical, the inlet and throat diameters being 150mm

and 80 mm respectively. The throat has 220mm about inlet and coefficient

discharge is 0.96. Petrol of specific gravity 0.78 flows up through the meter at a

rate of 0.029 m3/s. Find the pressure difference between the inlet and the throat.

[7]

4 A jet with a velocity V strikes normally on a series of at plates moving with a

velocity KV and mounted radially on the periphery of a wheel. Prove that the

efficiency of the plate is given by η = 2K (1 - K).

[15]

5 a) Define (i) Firm and secondary power (ii) Load factor, utilization factor and

capacity factor.

7

b) Discuss in detail the different components of hydroelectric power plants.

[8]

6 A Pelton wheel operates with a jet of 150mm diameter under the head of 500m. Its

mean runner diameter is 2.25 m and it rotates with speed of 375 rpm. The angle of

bucket tip at outlet as150 coefficient of velocity is 0.98, mechanical losses equal to

3% of power supplied and the reduction in relative velocity of water while passing

through bucket is 15%. Find (a) the force of jet on the bucket, (b) the power

developed (c) bucket efficiency and (d) the overall efficiency.

15

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Code No: R21021

7 a) Define specific speed of a turbine. Derive the expression for the specific speed of

turbine.

7

b) Briefly explain about the water hammer in pipes. Discuss the water hammer in

penstock.

8

8 a) How will you obtain an expression for the minimum speed for starting a

centrifugal pump?

7

b) The diameter of an impeller of a centrifugal pump at inlet and outlet are 300mm

and 600 mm respectively. The velocity of ow at outlet is 2.5 m/s and vanes are set

back at an angle of 45o at outlet. Determine the minimum starting speed of the

pump if the manometric efficiency is 75 %.

8

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1 a) Define surface tension. Discuss how some insects walk on the surface of the

fluid.

[8]

b) Air is introduced through a nozzle into a tank of water to form a stream of

bubbles. If the bubbles are intended to have a diameter of 2 mm, calculate how

much the pressure of the air at the tip of the nozzle must exceed that of the

surrounding water. Assume that the value of surface tension between air and

water as 72.7 x 10-3 N/m.

[7]

2 a) Write a short note on, Uniform and non uniform flow with suitable example [7]

b) Calculate the unknown velocity components so that they satisfy continuity

equation. (i) u = 2x2; v = xyz; w = ?

[8]

3 a) Write a short note on Flow Nozzle, Turbine flow meter, Darcy Weisbach

Equation

[7]

b) A 150mm X 75mm venture meter with a coefficient of discharge o 0.98 is to be

replaced by an orifice meter having a coefficient of discharge o 0.60.If the both

the meters are to give the same differential mercury manometer reading for a

discharge of 100 liters per second and the inlet diameter is to remain 150mm.

what should be diameter of the orifice.

[8]

4 a) Derive the expression for the force exerted by a jet of water on inclined fixed

plate in the direction of jet.

[7]

b) A jet of water strikes with a velocity of 35m/s a at plate inclined at 300 with

the axis of the jet. If the cross-sectional area of the jet is 25cm2 determine.

(i). The force exerted by the jet on the plane

(ii). The components of the force in the direction normal to the jet.

(iii). The ratio in which the discharge gets divided after striking the plate.

[8]

5 a) Discuss in detail about flow duration curve and mass curve. [7]

b) Discuss the hydroelectric power development in India. Write about any one major

hydroelectric power station in Andhra Pradesh.

[8]

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Code No: R21021

6 a) Differentiate between Impulse turbine and Reaction turbine. [7]

b) A Powerhouse is equipped with impulse turbines of Pelton type. Each turbine

delivers a power of 14 MW when working under a head 900 m and running at

600 rpm. Find the diameter of the jet and mean diameter of the wheel. Assume

that the overall efficiency is 89%, velocity coefficient of jet 0.98, and speed ratio

0.46.

[8]

7 a) By means of a neat sketch explain the governing mechanism of Francis turbine. [6]

b) A water turbine delivering 10MW power is to be tested with the help of a

geometrically similar 1:8 model which runs at the same speed as the prototype.

(i) Find the power developed by the model assuming the efficiency of the model

and the prototype are equal .

(ii) Find the ratio of the heads and the ratio of mass flow rates between the

prototype and the model.

[9]

8 a) How is the selection of pumps made? Give the operational difficulties commonly

experienced in centrifugal pumps and their remedies.

[7]

b) A single acting reciprocating pump running at 30rpm delivers 0.02 m3/s of

water. The diameter of the piston is 250mm and stroke length 500mm deter-

mine:

(i). The theoretical discharge of the pump.

(ii). Co-efficient of discharge.

[8]

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Code No: R21021


FLUID MECHANICS AND HYDRALICS MACHINES

(Com. to EEE, ME, MM)




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1 a) Define Specific weight, mass density, vapour pressure and bulk modulus with

appropriate dimensions and units.

[8]

b) A tape of 0.015 cm thick and 1.00 cm wide is to be drawn through a gap with a

clearance of 0.01cm on each side. A lubricant of dynamic viscosity 0.021 Ns/m 2

completely fills the gap for a length of 80 cm along the tape. If the tape can

withstand a maximum tensile force of 7.5 N calculate the maximum speed with

which it can be drawn through the gap.

[7]

2 a) Derive Bernoulli`s equation from Euler`s equation of motion. [8]

b) A pipe through which water is flowing, is having diameters, 20cm and 10cm at

the cross-sections 1 and 2 respectively. The velocity of water at section 1 is given

as 4 m/s. Find the velocity head a sections 1 and 2 and also rate of discharge.

[7]

3 a) What are the different losses in flow through the circular pipes. [7]

b) A pipe is 50mm diameter is 6m long and the velocity of flow of water in the pipe

is 2.5m/s. what loss of head and corresponding power would be saved if the

central 2m length of the pipe is replaced by 75mm diameter pipe, the change of

section being sudden. Assume f = 0.04 for both the pipe.

[8]

4 a) Find an expression for the force exerted by a jet on stationary curved plate,

when the jet strikes the curved plate at the center.

[6]

b) A jet of water of diameter 5 cm moving with a velocity of 40 m/s strikes a

curved fixed symmetrical plate at the center. Find the force exerted by the

jet of water in the direction of the jet, if the jet is detected through an angle

of 1200 at the outlet of the curved plate.

[9]

5 a) What are the different components of hydro power plant? what are the purposes

of providing them.

[7]

b) What is meant by mass curve and explain in detail the construction of mass curve

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[8]

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Code No: R21021

6 a) Discuss the classification of Hydraulic turbines. [8]

b) A Francis turbine has a wheel diameter of 1.2 m at the entrance and 0.6m at the

exit. The blade angle at the entrance is 900 and the guide vane angle is 15

0. The

water at the exit leaves the blades without any tangential velocity. The available

head is 30m and the radial component of flow velocity is constant. What would

be the speed of wheel in rpm and blade angle at exit? Neglect friction.

[7]

7 a) What do you understand by characteristic curves of Francis turbine? Discuss in

detail.

[7]

b) A model Francis turbine 1/5 of its full size, develops 3kW power at360 rpm

under a head of 1.8m. Find the speed and power of full size turbine operating

under head of 6m, if (i) the efficiency of the model and the full size turbine are

same, (ii) the efficiency of the model turbine is 75% and the scale is considered.

[8]

8 a) What do you mean by characteristic curves of centrifugal pumps? What is

the significance of characteristic curves? Draw the following characteristics

curves for centrifugal pump: Head, Power and Efficiency versus discharge with

constant head.

[8]

b) Two homologous pumps A and B will run at same speed of 600 rpm. The

discharge and head of pump A are 0.4 m3 / sec and 50 m respectively. Determine

the discharge of pump B to lift the discharge by 30 m.

[7]

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Code No: R21021






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1 a) Distinguish between atmospheric, gauge and vacuum pressure. What do you

understand by equality of pressure at the same level in a static fluid?

[8]

b) Two pipes on the same elevation convey water and oil of specific gravity 0.88

respectively. They are connected by a U-tube manometer with the manometric

liquid having a specific gravity of 1.25. If the manometric liquid in the limb

connecting the water pipe is 2 m higher than the other find the pressure difference

in two pipes.

[7]

2 a) What are the different energies of flowing fluid? Explain each of them [8]

b) Water is flowing through a pipe having diameters 20cm and 10cm at sections 1 and

2 respectively. The rate of flow through pipe is 40 liters/second. The section 1 is

6m above the datum and section 2 is 4m above the datum. If the pressure at section

1 is 40 N/cm2, find the intensity of pressure at section 2.

[7]

3 a) Explain with neat sketch the Reynold’s experiment and define Laminar and

Turbulent flow.

[7]

b) A compound piping system consists of a1600m of 0.4m diameter, 1200m of 0.3m

diameter and 800m pf 0.25m diameter cast iron pipes connected in series. Convert

the system to (i) an equivalent length of 0.4m pipe and (ii) an equivalent size pipe

3000m long.

[8]

4 a) Show that the efficiency of a free jet striking normally on a series of plates fixed

mounted on the periphery of wheel never exceeds 50%.

[8]

b) What do you understand by velocity triangles? Why these are important in

hydraulic turbines?.

[7]

5 a) What are the different types of Hydropower plants? Explain each. [8]

b) Differentiate between power house with pondage and power house with storage

with neat diagrams.

[7]

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Code No: R21021

6 In a vertical shaft inward-flow reaction turbine, the sum of the pressure and kinetic

head at entrance to the spiral casing is 120 m and the vertical distance between this

section and the tail race level is 3 m. The peripheral velocity of the runner at entry

is 30m/s, the radial velocity of water is constant at 9m/s and discharge from the

runner is without swirl. The estimated hydraulic losses are (a) between turbine

entrance and exit from the guide vanes 4.8 m(b) in the runner 8.8m (c) in the draft

tube 0.79 m (d) kinetic head rejected to the tail race 0.46m. Calculate the guide

vane angle and the runner blade angle at inlet and the pressure heads at entry to and

exit from the runner.

[15]

7 a) A large hydraulic turbine is to generate 300KW at 1000rpm under a head of 40m.

For initial testing, a 1:4 scale model of the turbine operates under a head of 10m.

Find the power generated by the model.

[7]

b) What are the unit and Specific quantities? What is the significance of these

quantities hydraulic turbines? Define the specific speed of hydraulic turbine.

[8]

8 a) Explain the terms: slip and negative slip with reference to reciprocating pump. [6]

b) A centrifugal pump delivers water against a net head of 10 m at a speed of 1000

rpm. The vanes are curved backward and make an angle of 30 degrees. The

impeller outside diameter is 30 cm and has a width of 5 cm at the outlet. Determine

the discharge if manometric efficiency is 95%.

[9]

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Code No: R21022


MANAGERIAL ECONOMICS AND FINANCIAL ANALYSIS (Com. to EEE, ME, ECE, EIE, CSE, IT, ECC, BME)




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

1. a) “Managerial Economics is the integration of economic theory with business practice for

the purpose of facilitating decision making and forward planning by management”.

Explain?

b) Define demand and describe its determinants with suitable examples?

2. a) Differentiate between the following:

i) Point Price elasticity of demand and Arc Price elasticity of demand

ii) Elasticity of demand and elasticity of supply

b) Write briefly about trend projection method?

3. a) What is the relationship between firm’s short run production function and its fixed and

variable costs?

b) Distinguish between:

i) Implicit and Explicit costs

ii) Accounting and Economic costs

4. a) What are the features of Perfect competition?

b) Distinguish between Market skimming pricing and penetrating pricing.

5. a) What are the features of Joint stock Company?

b) Write short note on features of Business cycles.

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Code No: R21022

6. The following are the balances extracted from the books of Rakesh on 31st March 2015.

PARTICULARS AMOUNT (IN RUPEES)

Rakesh Capital 30,000

Rakesh Drawing 5,000

Furniture and Fixtures 2,600

Opening Stock 22,000

Debtors 18,000

Rent from tenants 1,000

Purchases 1,10,000

Sales 1,50,000

Electricity Charges 1,100

Sales return 2,000

Discounts (Dr) 1,600

Bank Overdraft 4,200

Creditors 13,800

Discount (Cr) 2,000

Taxes and Insurances 2,000

General Expenses 4,000

Salaries 9,000

Commission (Dr) 2,200

Carriage on purchases 1,800

Bad debts 800

Adjustments:

Closing stock at the end was Rs 20,060; Depreciate furniture and fixtures by Rs 550.

Prepare Trading, Profit and Loss account and Balance Sheet for the year ended 31st March

2015 after taking the above adjustments.

7. From the following particulars you are required to prepare a statement of proprietary fund:

Capital turnover ratio=2; Fixed Asset turnover ratio=4; Gross profit turnover ratio=20%; Stock

velocity=5; Debtors velocity= 3 months; Creditors velocity is 2.5 months. The gross profit is

Rs 50,000,Reserves and Surplus is Rs 15000 and closing stock was Rs 5000 lesser than

opening stock.

8. Explain briefly the various methods of capital budgeting.

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Code No: R21022






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

1. What do you understand by Elasticity of demand? How do you measure it? What is its

significance?

2. Explain and illustrate the following: and also mention why they arise: a) The Law of Constant

Returns b) The Law of increasing returns.

3. What is opportunity Cost? Give some examples of opportunity cost. How are these costs

relevant for managerial decisions?

4. What is a Market? Explain, in brief, the different Market structures.

5. Explain the merits and demerits of different forms of Business organization and their suitability

with different types of business Activities

6. What are the accounting concepts that govern accounting process? Explain in brief.

7. The following are the extracts from the financial statements of Marvel Ltd. as on 31st March

2014 and 31st March 2015 respectively

31st March 2014

( Amount in Rupees)

31st March 2015

( Amount in Rupees)

Stock 10,000 25,000

Debtors 20,000 20,000

Bills receivable 10,000 5,000

Cash 18,000 15,000

Bills payable 15,000 20,000

Bank Overdraft 2,000

9% Debenture 5,00,000 5,00,000

Sales 3,50,000 3,00,000

Gross Profit 70,000 50,000

Compute Current ratio, Acid test ratio and Stock Turnover ratio and also interpret the result.

8. Compare and contrast with illustration

Accounting rate of return and Payback period method

Net present Value and IRR method

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Code No: R21022






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

1. Define Managerial Economics. Explain the nature and scope of managerial economics?

2. What is meant by Elasticity of demand? What are the factors governing the potential demand

for a product as either Elastic or Inelastic?

3. Explain how production function is valuable to manufacturer?

4. What are the features of perfect competition? Explain with the help of a diagram how price

output is determined in perfect competition?

5. Define and evaluate partnership form of business organization.

6. What is working capital? What are the factors governing working capital requirement?

Illustrate.

7. Ram Enterprise is considering purchasing a CNC machine. The following are the earnings after

tax from the two alternative proposal under consideration each costing Rs 8,00,000. Select the

better proposal if the company wishes to operate @ 10% rate of return

Year 1 Year 2 Year 3 Year 4 Year 5

Proposal I 80,000 2,40,000 3,20,000 4,80,000 3,20,000

Proposal 2 2,40,000 3,20,000 4,00,000 2,40,000 1,60,000

Present value of Rs 1 @10% 0.909 0.826 0.751 0.683 0.620

8. Journalize the following transactions and post them to ledger.

i) Ram invested Rs 10,000 in cash

ii) He bought goods worth Rs 2000 from Shyam

iii) He bought a machine for Rs 5000 from Lakshman on account

iv) He paid to Lakshman Rs. 2000

v) He sold goods for cash Rs. 3000

vi) He sold goods to A on account for Rs 4000

vii) He paid to Shyam Rs. 1000

viii)He received amount from A Rs. 2000.

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Code No: R21022






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

1. a) What do you understand by demand? What are the different types of demand

b) State the law of demand what its exception are

2. How do you forecast demand for product and services? Explain the method of least squares as a

method of forecasting demand.

3. Do you think monopoly is present in the current business environment? Explain how price

output is determined in monopoly in short run

4. Rahim sells 500 kg of sweets per hour at a rate of Rs 100 per kg. The fixed overhead is Rs 7000

and the variable cost is Rs 25 per kg. There is a proposal to reduce the price by 10%.Calculate

the present PV and present BEP both in units and in Rupees; present level of profit and future

PV ratio and BEP both in units and in Rupees. How many kilograms must be sold to earn

present level of profit?

5. Explain any four pricing methods based on strategy.

6. Based on the following information of the financial ratios prepare Balance sheet of Premier

India Ltd as on 31st March 2015.

Current ratio= 2.5; Liquidity ratio= 1.5; Net working Capital= 6,00,000; Stock turnover ratio=

5; Gross profit to sales =20%. Turnover ratio to net fixed assets (on cost of sales) =2; Average

debt collection period = 2.4 months; Fixed asset to net worth =0.8; Long term debt to capital

and Reserves =7:25.

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Code No: R21022

7. From the following prepare Trading, Profit and loss and Balance Sheet as on 31st March 2015.

Particulars Debit Credit

Capital 20000

Purchases 29000

Sales 55000

Carriage Inwards 5000

Wages outstanding 2000

Plant 20000

Depreciation on plant 4000

Rent received 1000

Salaries and wages 3000

Reserve for bad and doubtful debt 1000

Bad debts 2000

Interest 5000

Premises 20000

Interest paid 5000

Creditors 6000

Opening stock 25000

Loans 38000

Debtors 15000

Adjustment

Closing stock at the end: Rs 40,000

Depreciate building at the rate of 15% per annum.

8. A ltd is considering to purchase a new machine costing Rs 5,85,000. An additional investment

will be required for installation costing Rs 15,000 and for working capital Rs 1,00,000. The

machine has a working life of 5 years and salvage value will be Rs 1,00,000. The working

capital will be released after 5 years. The estimated cash inflows before depreciation and tax are

estimated as follows

Years Cash Inflows (Rupees)

1 1,00,000

2 1,80,000

3 2,50,000

4 2,00,000

5 1,50,000

You can assume straight line method for charging depreciation, cost of capital of 15% and

corporate tax rate of 50%. Should the company purchase the machine?

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Code No: R21032


THERMODYNAMICS (Com. to ME, AE, AME, MM)




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

1. a) Energy is a point function. Explain and prove. (8M)

b) Write the differences between microscopic and macroscopic approach.

(7M)

2. a) State the limitations of first law of thermodynamics. (5M)

b) What is a thermal energy reservoir? (5M)

c) Define PMMI and the relevance of it.

(5M))

3. What is Carnot cycle? Explain with the help of suitable diagrams. Derive the

expression for efficiency of Carnot cycle.

15 M

4. a) spherical shell of diameter 50 cm contains steam at a pressure of 40 bar and

0.85 dryness fraction. Calculate the mass of water and steam.

(8M)

b) Explain in detail the formation of steam with the help of T-H diagram indicating

the salient points.

(7M)

5. 0.2 m3 of air at 3 bar and 120

0C is contained in a system. A reversible adiabatic

expansion takes place till the pressure falls to 1.5 bar. The gas is then heated at

constant pressure till enthalpy increases by 75 kJ. Calculate the work done and

the index of expansion, if the above processes are replaced by a single reversible

polytropic process giving the same work between the same initial and final states.

15 M

6. A mixture of ideal gases consists of 3 kg of Nitrogen and 5 kg of carbon dioxide

at a pressure of 4 bar and temperature of 250 C .Find

i) mole fraction of each constituent

ii) equivalent molecular weight of the mixture

iii) Equivalent gas constant of the mixture

iv) Partial pressure and partial volumes v) volume and density of the mixture

vi ) Cp & Cv of the mixture

15 M

7. a) An engine working on Otto cycle has the following conditions: pressure at the

beginning of compression is 1 bar and pressure at the end of compression is

12 bar. Calculate the compression ratio and air - standard efficiency of the

engine. Assume γ = 1.4.

(8M)

b) Sketch the p-V and T-s diagrams of diesel cycle and derive its efficiency.

(7M)

8. Derive the expression for COP of Bell Coleman cycle when the compression

and expansion are isentropic.

( 15M)

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Code No: R21032






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

1. a) Prove that heat and work are path functions. (8M)

b) Define system and boundaries. Explain various types of system and boundary with

examples.

(7M)

2. a) State the first law of thermodynamics and prove that for non-flow process it leads

to Q=W+∆U.

(8M)

b) An engine operating on a Carnot cycle works with in temperature limits of600 K

and 300 K. If the engine receives 2000 KJ of heat, evaluate the workdone and

thermal efficiency of the engine.

(7M)

3. a) Determine the power required to run a refrigerator that transfers 2000 KJ/minof

heat from a cooled space at 00C to the surrounding atmosphere at 27

0C.The

refrigerator operates on reversed Carnot cycle.

(8M)

b) Derive Clausius inequality and explain the significance.

(7M)

4. a) Explain the following terms relating to steam formation: i. Sensible heat of water

ii. Dryness fraction of steam iii. Enthalpy of wet steam iv. Superheated steam.

(8M)

b) Find the enthalpy and entropy of steam when the pressure is 2 M Pa and the

specific volume is 0.09 m3/kg. Use steam tables only.

(7M)

5. a) Write down the Vander Waal’s equation of state. How does it differ from the

ideal gas equation of state?

(8M)

b) 1kg of CO2 has a volume of 1m

3at100

0C. Compute the pressure by

i. Vander Waal’s equation ii. Perfect gas equation.

Take a = 362850Nm4/(kg−mole)

2 ; b = 0.0423m

3/kg−mole;R = 8314J/kg mole-K

(7M)

6. a) A vessel of 6m3 capacity contains two gases A and B in proportion of 45%

respectively at 300C.If the value of R for the gases is 0.288 kJ /kg. k and

0.295 kJ /kg-K and if the total weight of the mixture is 2 kg, calculate

i) Partial pressure ii) The mean value of R for the mixture.

(8M)

b) Write short notes on

i) Mole fraction ii) Volumetric analysis iii) Dry bulb temperature

1 of 2

(7M)

SET - 2 R10

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Code No: R21032

7. a) Calculate the percentage loss in the ideal efficiency of a diesel engine with

compression ratio 14 if the fuel cut off is delayed from 5% to 8% .

(8M)

b) Compare the Otto cycle and Diesel cycle for the same compression ratios and

same heat inputs.

(7M)

8. a) Explain the difference between the Bell Coleman and Joule cycle of refrigeration. (8M)

b) An air refrigerating plant operates between 1.6 bar and 8 bar. The capacity

of the plant is 5.5 ton. The temperature of the air entering the compressor

and into an air engine is -40C and 29

0C respectively. The compression and

expansion processes are polytropic with exponent n = 1.35. Determine the

COP and the net power input for the plant.

(7M)

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Code No: R21032






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

1. a) Explain the terms state, path, process and cyclic process. (8M)

b) Explain quasi-static process with examples.

(7M)

2. a) Explain working of constant volume gas thermometer with a neat diagram. (8M)

b) Derive steady flow energy equation.

(7M)

3. a) State the Kelvin-Plank and Clausius statements of the second law of

thermodynamics and establish equivalence between them.

(8M)

b) State and prove Carnot Principle or Carnot theorem.

(7M)

4. a) Explain working of separating and throttling calorimeter. Which type of

calorimeter is used when steam is too wet?

(8M)

b) What is the pure substance? Draw and explain P-T (pressure-temperature)

diagram for a pure substance.

(7M)

5. a) A mass of air is initially at 2600C and 700 KPa and occupies 0.028m

3. The air is

expanded at constant pressure to 0.084m3.Apolytropic process with n = 1.5 is then

carried out, followed by a constant temperature process, which completes a cycle.

All the processes are reversible

i. Sketch the cycle in the P-v &T-s planes ii. Find heat received & rejected in the

cycle iii. Find efficiency (η ) of the cycle.

(8M)

b) What is the difference between ideal gas and a perfect gas? What is equation of

state?

(7M)

6. a) State Dalton's law of partial pressures. (8M)

b) Atmospheric air at 300C and a relative humidity of 65% is cooled at a constant

pressure of 100 kN/m2 to 20

0C. Calculate

i. the final relative humidity and ii. the change in specific humidity.

1 of 2

(7M)

SET - 3 R10

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Code No: R21032

7. a) An engine equipped with a cylinder having a bore of 12 cm and a stroke of 40

cm operates on an Otto cycle. If the clearance volume is 1600 cm3, compute

the air standard efficiency.

(8M)

b) Derive the expression for efficiency of air standard Otto cycle.

(7M)

8. A R-12 vapour compression refrigeration system is operating at a condenser pres-

sure of 10 bar and an evaporator pressure of 2.2 bar. Its refrigeration capacity is

14 tonnes. The values of enthalpy at the inlet and outlet of the evaporator are

650 and 200 kJ/kg. The specific volume at inlet to the reciprocating compressor is

0.085 m3/kg. The index of compression for the compressor is 1.15. Determine:

(a) the power input in kW required for the compressor and

(b) the COP. Take 1 tone of refrigeration as equivalent to heat removal at the

rate of 3.517 kW.

(15 M)

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Code No: R21032






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

1. a) Discuss about concept of continuum (8M)

b) Explain causes for irreversibility in detail.

(7M)

2. a) A blower handles 1 kg/sec of air at 200C and consumes a power of 15 kW.

The inlet and outlet velocities of air are 100 m/s and 150 m/s respectively.

Find the exit air temperature, assuming adiabatic conditions.

(8M)

b) Write a note on ideal gas temperature scale.

(7M)

3. a) Prove that " All reversible heat engines operating between the two given thermal

reservoirs have same efficiency".

(8M)

b) State and prove Clasius theorem.

(7M)

4. a) Explain working of throttling calorimeter with the help of diagram. (8M)

b) Derive Clasius Clapeyron equation and explain its significance.

(7M)

5. 1 kg of air at 1.2 bar pressure and 180C is compressed isentropically to 7 bars.

Find the final temperature and the work done. If the air is cooled at the upper

pressure to the original temperature of 180C ,what amount of heat is rejected and

what further work of compression is done.

15 M

6. A vessel of 2m3 capacity contains oxygen at 10 bar and 60

0C. The vessel is

connected to another vessel of4m3 capacity containing carbon monoxide at 1.5 bar

and 250C. A connecting valve is opened and the gases mix adiabatically calculate

i) The final pressure and temperature of the mixture b) Change of entropy of the

oxygen.

Take for oxygen Cv = 21.07kJ/Mol-K

For carbon monoxide Cv = 20.86kJ/Mol-K

15 M

7. a) Explain graphically the variation of the efficiency of Diesel cycle with

compression ratio and cut off ratio.

(8M)

b) A diesel engine has a compression ratio of 15 and heat addition at constant

pressure takes place at 6% of stroke. Find the air standard efficiency of the

engine.

(7M)

8. a) Explain the important components of a simple vapour compression refrigeration

system. Also discuss the functions of each component.

(8M)

b) An air refrigerating plant operates between 1.6 bar and 8 bar. The capacity of the

plant is 5.5 ton. The temperature of the air entering the compressor and into an air

engine is -40C and 29

0C respectively. The compression and expansion processes

are polytropic with exponent n = 1.35. Determine the COP and the net power input

for the plant.

(7)

1 of 1

SET - 4 R10

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