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Page 1: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

www.deewanbittal.wordpress.com

TARGET-2018-19

IES & GATE Exam

GATE (ME) Test

Copyright © by IesmechanicalDuniya All rights are reserved. No part of this document may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise,

without prior permission of IesmechanicalDuniya. www.deewanbittal.wordpress.com © IesmechanicalDuniya

Page 2: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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Fluid Mechanics & Hydraulic Machines

Q.No. Question Status

1 The difference between the total head line and the hydraulic grade line represents

1.

velocity head

2.

pressure head

3.

elevation head

4.

piezoelectric head

Correct Answers : Option1

Solution :

2 Continuity equation is based on the principle of

1.

Conservation of volume

2.

Conservation of energy

3.

Conservation of angular momentum

4.

Page 3: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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Conservation of mass

Correct Answers : Option4

Solution : Continuity equation is based on the principle of conservation of mass.

3 Stream line, path line and streak line are identical when the

1.

Flow is steady

2.

Flow is uniform

3.

Flor is neither steady nor uniform

4.

Flow is non-uniform

Correct Answers : Option1

Solution : For steady flow stream line, path line and streak-line are same.

4 The surface tension of water in contact with air at 20°C is 0.0725 N/m. The pressure

inside a droplet of water is to be 0.02 N/cm2 greater than the outside pressure. What

should be the diameter of water droplet (in cm)?

1.

0.145

2.

1.45

3.

14.5

4.

Page 4: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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0.0725

Correct Answers : Option1

Solution :

5 Which of the following statement is TRUE about metacentric radius?

1.

It is the distance between the metacentre and centre of gravity

2.

It is the distance between the metacentre and centre of bouyancy

3.

It is the distance between the centre of gravity and centre of bouyancy

4.

There is no terms like this for stability of floating bodies

Correct Answers : Option2

Solution :

The length BM is called the metacentric radius and it must not be confused with the

metacentric height GM. The term BM represents the metacentric radius. BM is an

extremely important term. It is defined as the vertical distance from the Center of

Buoyancy to the Metacenter.

6 Which of the following device is used to measure the difference of low pressures

between two points?

1.

U-tube differential manometer

Page 5: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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2.

U-tube manometer

3.

Inverted U-tube differential manometer

4.

Both (a) and (c)

Correct Answers : Option4

Solution : Inverted U-tube manometer uses a light manometer liquid, which is used to measure the difference of low pressures between two points.

7 Capillary tube viscometers used for measurement of viscosity are based on

1.

Stoke’s law

2.

Hagen-Poiseuille

3.

Darcy-Weisbach equation

4.

Both (b) and (c)

Correct Answers : Option2

8 The shear stress distribution for a one dimensional viscous flow through pipe is

1.

Parabolic

2.

Linear

3.

Page 6: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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Cubic

4.

None of these

Correct Answers : Option2

Solution :

9 The velocity distribution in a turbulant boundary layer is given by

What is the displacement thickness δ*?

1.

δ

2.

3.

4.

Correct Answers : Option4

Solution :

Page 8: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

Dear Gate/IES Aspirants,

BUY Online Test Series 400+ Test Solution. This Offers Only Valid

Christmas day(25December)After 25 Dec 499/- cost of this test

series.

This Platform Helpful All Aspirants and specially who is belong to very poor family

and not paying for coaching fee. This is the best study material is useful all

GATE/IES aspect. And Complete Supports and How to Crack Gate/IES exam.

Any supports and help, Please Send me mail:<[email protected]>

Website:-https://deewanbittal.wordpress.com/

Get Regular Updates Of the Test Series Here

You can download the tests and their solution in pdf format by just pressing

ctrl p and saving as pdf.

We reply to all the queries as soon as we see them , so do not hesitate to

contact before buying if in doubt **Or email us at

<[email protected]>

Please Check your spam folder **

Please send me mail with These Details Name, Email ID, Contact Number,

Graduation Pass out Year in this Email:<-

[email protected]>(Director of Regionaliasacademy)

after 6hrs I will provided Google drive Access path link All test time to time

Updated....

Note Alert-: This website is neither created for earning, but

for supporting and helping Gate aspirants.

Thanks & Regards

Admin

Page 9: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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10 The mean velocity of a one dimensional incompressible flow between two fixed

parallel plates is 3.33 m/s. The maximum velocity of the flow is __________m/s.

Solution :

11 If the differential head between the throat and inlet of a venturimeter is 19.032 m of

water. Assume that 4% of the differential head is lost between the inlet and throat. The

value of Cd for the venturimeter is ___________.

Solution :

12 A circular plate of 3 m diameter is immersed in water in such a way that its greatest

and least depth below the free surface are 4 m and 1.5 m respectively. The position of

center of pressure as shown in figure from the free surface of liquid is ____________

m.

Page 10: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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Solution :

13 A turbine works under a head of 19 m and has a maximum flow rate of 3 m3/s and a

speed of 600 rpm. If it has to work in another plant under a head of 5 m, the maximum

flow rate will be ___________ m3/s.

Solution :

14 If a fluid jet discharging from a 50 mm diameter orifice has a 40 mm diameter at its

vena contracta, then its coefficient of contraction will be ___________.

Solution :

Page 11: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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15 A pipe of diameter 300 mm and length 3500 m is used for transmission of power by

water. The head at inlet of pipe is 500 m. If coefficient of friction, f is 0.006, the

velocity of flow in the pipe is _______ m/s, for maximum transmission of power.

Solution :

16 Two pipes of length 1000 m and 1200 m of diameter 100 mm and 300 mm

respectively are connected in series. These pipe are replaced by a single pipe of length

2000 m. The diameter of single pipe is _____________ mm.

Solution :

17 A U-shaped manometer containing liquid is rotated about the axis A-A with angular

velocity of 20 rad/s as shown in figure. What is the difference in the height of liquid in

two columns in (mm)?

Page 12: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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1.

120

2.

153

3.

171

4.

192

Correct Answers : Option2

Solution :

18 If for a two dimensional potential, the velocity potential is given by

Φ = x (2y – 1)

What is the value of stream function ψ at point (4, 5)?

Page 13: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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1.

1

2.

2

3.

3

4.

4

Correct Answers : Option4

Solution :

19 A cylindrical object of diameter 10 cm, height 20 cm and density 8000 kg/m3 is

supported by a vertical spring and is half dipped in water. If the object is slightly

depressed and released, what should be the time period of resulting oscillations? Take

spring constant to be 500 N/m.

Page 14: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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1.

0.5 secs

2.

0.7 secs

3.

0.93 secs

4.

1.25 secs

Correct Answers : Option3

Solution :

20 A copper piece of mass 10 grams and density 9000 kg/m3 is suspended by a vertical

spring. The spring elongates 1 cm over its natural length. A beaker containing water is

now placed below the copper piece so as to immerse the piece completely. What

would be the elongation of the spring (in cm)? Take g = 10 m/s2.

Page 16: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

Dear Gate/IES Aspirants,

BUY Online Test Series 400+ Test Solution. This Offers Only Valid

Christmas day(25December)After 25 Dec 499/- cost of this test

series.

This Platform Helpful All Aspirants and specially who is belong to very poor family

and not paying for coaching fee. This is the best study material is useful all

GATE/IES aspect. And Complete Supports and How to Crack Gate/IES exam.

Any supports and help, Please Send me mail:<[email protected]>

Website:-https://deewanbittal.wordpress.com/

Get Regular Updates Of the Test Series Here

You can download the tests and their solution in pdf format by just pressing

ctrl p and saving as pdf.

We reply to all the queries as soon as we see them , so do not hesitate to

contact before buying if in doubt **Or email us at

<[email protected]>

Please Check your spam folder **

Please send me mail with These Details Name, Email ID, Contact Number,

Graduation Pass out Year in this Email:<-

[email protected]>(Director of Regionaliasacademy)

after 6hrs I will provided Google drive Access path link All test time to time

Updated....

Note Alert-: This website is neither created for earning, but

for supporting and helping Gate aspirants.

Thanks & Regards

Admin

Page 17: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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1.

0.42

2.

0.63

3.

0.89

4.

0.92

Correct Answers : Option3

Solution :

21 Consider the following data pertaining to Pelton wheel:

Head at the base of nozzle = 80 m

Diameter of jet = 100 mm

Discharge of nozzle = 0.3 m3/s

What is the power lost in the nozzle ?

1.

10.71 kW

2.

8.35 kW

3.

Page 18: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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22.37 kW

4.

16.59 kW

Correct Answers : Option4

Solution :

22 Tests conducted on a one fifth scale model of a Francis turbine under a head of 1.5 m

indicated that it could develop 5 kW power at 450 rpm. What power will be obtained

from the full scale turbine while working under a head of 30 m?

1.

11.2 MW

2.

1.12 MW

3.

22.4 MW

4.

2.24 MW

Correct Answers : Option1

Solution :

Page 19: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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23 Water flows steadily from a tank mounted on a cart as shown in figure. After the water

jet leaves the nozzle of the tank, it falls and strikes a vane attached to another cart.

Consider the cart’s wheels are frictionless and the fluid is inviscid. The tension in

rope B is (in N)

1.

490

2.

636

3.

536

4.

850

Page 20: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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Correct Answers : Option4

Solution :

24 A turbine is to operate under a head of 25 m at 200 rpm. Power developed by turbine is

1986.5 kW. If the efficiency is 90%. The discharge of turbine under a head of 20 m is

1.

9 m3/s

2.

8.05 m3/s

3.

7.2 m3/s

4.

6.4 m3/s

Correct Answers : Option2

Solution :

25 A reaction turbine works at 450 rpm under a head of 120 m. Its diameter at inlet is 120

Page 21: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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cm. The angles made by absolute and relative velocities at inlet are 20° and 60°

respectively with tangential velocity. What is the hydraulic efficiency of reaction

turbine assuming the zero whirl at outlet?

1.

47.3%

2.

73.8%

3.

93.7%

4.

85.9%

Correct Answers : Option4

Solution :

26 Water at 15°C flows between two large parallel plate at a distance of 1.6 mm apart.

The shear stress at the walls of plate, if the average velocity is 0.2 m/s, is ___________

Page 22: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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N/m2.

(The viscosity of water at 15°C is given as 0.01 poise)

Solution :

27 The pressure drop for a relatively low Reynolds number flow in a 600 mm, 30 m long

pipe line is 70 kPa. The wall shear stress is ___________ Pa.

Solution :

28 A sub-marine moves horizontally in sea and has its axis 15 m below the surface of

water. A pitot-tube properly placed just in front of the submarine and along its axis is

connected to the two limbs of a U-tube containing mercury. The difference in the

mercury level is found to be 170 mm. The speed of the submarine, knowing that the

specific gravity of mercury is 13.6 and that of sea water is 1.026 with respect of fresh

water, is _________km/hr.

Solution :

Page 23: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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29 The velocity along the centreline of a nozzle of length L is given by

Solution :

30 A wooden plank of 1 m length and uniform cross-section is hinged at end O, as shown

in figure below. If the density of the plank is 500 kg/m3, the angle θ made by the

wooden plank is _________ (in degrees) for the plank to remain in equilibrium.

Page 24: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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(Except for θ = 90° i.e. a trivial case)

Solution :

Page 25: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

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31 The bulk modulus of elasticity of a liquid, if the pressure of the liquid is increased

from 70 N/cm2 to 130 N/cm2 and the volume decreases by 0.15 percent, is

__________N/mm2.

Solution :

32 A single jet impulse turbine of 10 MW capacity is to work under a head of 500 m. If

the specific speed of turbine is 10. The overall efficiency is 80% and the coefficient of

velocity is 0.98. Assume the speed of bucket wheel as 0.46 of the velocity of jet. The

diameter of bucket wheel is __________ meter.

Solution :

Page 27: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

Dear Gate/IES Aspirants,

BUY Online Test Series 400+ Test Solution. This Offers Only Valid

Christmas day(25December)After 25 Dec 499/- cost of this test

series.

This Platform Helpful All Aspirants and specially who is belong to very poor family

and not paying for coaching fee. This is the best study material is useful all

GATE/IES aspect. And Complete Supports and How to Crack Gate/IES exam.

Any supports and help, Please Send me mail:<[email protected]>

Website:-https://deewanbittal.wordpress.com/

Get Regular Updates Of the Test Series Here

You can download the tests and their solution in pdf format by just pressing

ctrl p and saving as pdf.

We reply to all the queries as soon as we see them , so do not hesitate to

contact before buying if in doubt **Or email us at

<[email protected]>

Please Check your spam folder **

Please send me mail with These Details Name, Email ID, Contact Number,

Graduation Pass out Year in this Email:<-

[email protected]>(Director of Regionaliasacademy)

after 6hrs I will provided Google drive Access path link All test time to time

Updated....

Note Alert-: This website is neither created for earning, but

for supporting and helping Gate aspirants.

Thanks & Regards

Admin

Page 28: GATE (ME) Test - deewanbittal.files.wordpress.com · Fluid Mechanics & Hydraulic Machines Q.No. Question Status 1 The difference between the total head line and the hydraulic grade

http://deewanbittal.wordpress.com

33 The rate of flow of water through a horizontal pipe is 1000 liter/s. The diameter of

pipe is suddenly enlarged from 500 mm to 700 mm. The loss of head due to sudden

enlargement is __________ m

Solution :


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