Me Mock Test-1 Ac Theory Module04 Dc theory module 56

8/13/2019 Me Mock Test-1 Ac Theory Module04 Dc theory module 56

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No part of this publication may be reproduced or distributed in any form or any means, electronic, mechanical,photocopying, or otherwise without the prior permission of the author.

Model Test Paper - IGATEMechanical Engineering

Copyright By Publishers

Information contained in this book has been obtained by authors, from sources believes to be reliable.However, neither Nodia nor its authors guarantee the accuracy or completeness of any information herein,

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Printed by Nodia and Company, Jaipur


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Q. 1 - Q. 25 carry one mark each.

Q.1 In figure shown, what will be the moment at the fixed support ?

(A) 46 kN m- (B) 6 kN m2 -(C) 6 kN m6 - (D) kN m2 -

Q.2 The column shown in figure, is subjected to an axial force of 8 kN at its top. Whatis the average normal stress acting at section a -a ?

(A) 1.82 MPa (B) 3.64 MPa

(C) 0.91 MPa (D) 2.73 MPa

Q.3 The torque which may be applied to a solid shaft of 90 mm outer diameter withoutexceeding an allowable shearing stress of 75 MPa, is

(A) 21.6 kN m (B) 10.8 kN m


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(C) 16.3 kN m (D) 5.4 kN m

Q.4 A five links plane mechanism with five revolute pairs as shown in figure has the num-ber of degrees of freedom equal to

(A) 3 (B) 4(C) 2 (D) 1

Q.5 Which of the following machines does not require a flywheel?

(A) Steam engine (B) Gas turbine

(C) Power press (D) Punching machine

Q.6 Ifx

x x 2 0

A = = G and 11 02A 1 - = G then the value of x is(A) 1 (B) 2

(C) 21 (D) 4

Q.7 The maximum value of logx x is

(A) 1 (B) e

(C) / e 2 (D) / e 1

Q.8 Identify the Newton-Raphson iteration scheme for finding the square root of 2.

(A) x x x 21 2

n n n

1 = ++ c m (B) x x x 21 2n n n 1 = + c m


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(C) x x 2

x n

1 =+ (D) x x 2n n 1 = ++

Q.9 Let i 1= Then one value of i i is

(A) i (B) 1

(C) /2 (D) e 2-

Q.10( )lim sin

02

"

is

(A) 0.5 (B) 1

(C) 2 (D) Not defined

Q.11 The interval in which the Lagranges theorem is applicable for function ( ) f x x 1= is

(A) [ , ]1 1 (B) [ , ]2 3

(C) [ , ]3 3 (D) [ , ]2 2

Q.12 The differential equation " ( ) 'sin cosy x x y y x 3 5 3+ + = is

(A) Homogeneous

(B) Not linear

(C) Second order linear

(D) None homogeneous with constant coefficient

Q.13 A nylon spacing bar has the cross section as shown in figure. If the allowable stressfor the grade of nylon used is 24 MPa , the largest couple M z that can be applied to thebar, is


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(A) . kN m2 38 (B) . kN m1 785

(C) . kN m2 975 (D) . kN m1 487

Q.14 What would be the life of a specimen, if the fluctuating reversible stress in the aboveproblem is taken as 0 MPa51 ?

(A) .2 1 104# cycles (B) 1.8 103# cycles

(C) .1 2 104# cycles (D) .1 4 103# cycles

Q.15 A 30 m3 cylinder contains Hydrogen at 25 Cc and 800 .kPa What amount of Hy-drogen must be bled off to maintain the Hydrogen in cylinder at 20 Cc and 600 kPa ?( 0.2968 . / . )kPa m kg KR 3=

(A) 271.35 kg (B) 206.99 kg

(C) 478.34 kg (D) 64.36 kg

Q.16 A vertical clean glass Piezometer tube has an inside diameter of 2 mm. When apressure is applied, water at 20C ( 9790 /N m 3 = , 0.073 /N m = , 0c = ) rises into thetube to a height of 23.5 cm. After correcting for surface tension the applied pressure will be

(A) 147 Pa (B) 2448 Pa

(C) 2300 Pa (D) 2154 Pa

Q.17 The linear couette flow between plates as shown in figure below has velocity compo-nent as , 0u h

Vy v = = . This flow has a stream function but no velocity potential, because

(A) It satisfy continuity but not satisfy irrotationality

(B) It satisfy continuity and irrotationality


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(C) It does not satisfy continuity but satisfy irrotationality

(D) It does not satisfy both continuity and irrotationality

Q.18 A cylindrical resistor element on a circuit board dissipates 0.8 W of power. Theresistor is 2 cm long, and has a diameter of 0. cm4 . For heat to be transferred uniformlyfrom all surfaces, the amount of heat this resistor dissipates during a 2 hour4 period andthe heat flux, respectively, are

(A) 89.8 , 0.376 /kJ W cm 2 (B) . , 0. 3 /kJ W cm55 3 2 1 2

(C) . , 0. /kJ W cm38 6 169 2 (D) 69.1 , 0.289 /kJ W cm 2

Q.19 A vacuum gauge connected to a tank reads 15 kPa at a location where the barometric

reading is 750 mm Hg . What is the absolute pressure in the tank ? Take 13,590 /kg mHg3

=.

(A) 80 kPa (B) kPa95

(C) kPa85 (D) kPa75

Q.20 Consider a refrigerator with a COP of .1 2. It removes heat from the refrigeratedspace at a rate of 60 / minkJ . What will be the electric power consumed by the refrigeratorand the rate of heat transfer to the kitchen air ?

(A) . kW1 04 , 0 / minkJ6 (B) 0.83 kW, 110 / minkJ

(C) . kW1 25 , /minkJ50 (D) . kW1 45 , . / minkJ93 5

Q.21 A lot has 10% defective items. Ten items are chosen randomly from this lot. Theprobability that exactly 2 of the chose items are defective is

(A) 0.0036 (B) 0.1937

(C) 0.2234 (D) 0.3874

Q.22 A root of the equation x x 3 5 03 = lies between 2 and 2.5. Its value after firstiteration as obtained by using Newton-Raphson method is

(A) 2.45 (B) 2.35

(C) 2.33 (D) 2.25


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Q.23 The crystal structures that Delta iron and Gamma iron have, respectively are

(A) SC, FCC (B) BCC, FCC

(C) FCC, HCP (D) HCP, BCC

Q.24 In true centrifugal casting, the impurities are

(A) get collected at outer surface.

(B) thrown out.

(C) get collected at the inner surface.

(D) get collected in the middle portion in between inner and outer surface.

Q.25 Earing in a drawn cup can be due to non-uniform

1. Speed of the press 2. Clearance between tools

3. Material properties 4. Blank holding

Which of the above statements are correct ?

(A) 1, 2 and 3 only (B) 1, 3 and 4 only

(C) 2 and 4 only (D) 1 and 3 only


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Q. 26 - Q. 55 carry two marks each.

Q.26 The box A and the wedge B have a mass of 80 kg and 40 kg respectively. Betweenall contacting surfaces, .0 15s = and .0 12k = . What force F is required to raise A at aconstant rate ?

(A) 612 N (B) 459 N

(C) 521 N (D) 735 N

Q.27 The natural frequency of the simple pendulum shown in figure, if the mass of therod is not negligible, will be

(A) l g

m m m m

21

23

32

r

r

++

^^

hh (B) l

g m m m m

21

32

32

r

r

++

^^

hh

(C) l g

m m m m

21

32

23

r

r

++

^^

hh (D) l

g m m m m

21

23

23

r

r

++

^^

hh


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Q.28 In shown figure of epicycle gear train, pinion A having 15 teeth is fixed to motorshaft. Gears B and C are a compound gear wheel having 20Z B = , 15Z C = and wheel E iskeyed to the machine shaft. Arm F rotates about the same shaft on which A is fixed andcarries the compound wheel ,B C . If the motor runs at 1200 rpm counter-clockwise, theratio of the reduction gear is

(A) 24 (B) .26 67

(C) .32 33 (D) 20

Q.29 A composite bar of square cross section with dimensions b b2 2# is constructedof two different metals having moduli of elasticity E 1 and E 2 as shown in figure The twoparts of the bar have the same cross-sectional dimensions. The bar is compressed by forcesP acting through rigid end plates. The line of action of the loads has an eccentricity e ofsuch magnitude that each part of the bar is stressed uniformly in compression. What will

be the eccentricity e of the loads ?

(A) e E E

b E E

2 2 12 1

=+

^

^

h

h (B) e E E

b E E

2 2 12 1

=

+

^

^

h

h

(C) e E E

b E E 2 1 2

1 2=

+

^^

hh (D) e

E E b E E 2 1 2

1 2=

+

^^

hh

Q.30 The steel jacket CD has been attached to the 40 mm diameter steel shaft AE bymeans of rigid flanges welded to the jacket and to the rod. The outer diameter of the jacket


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is 80 mm and its wall thickness is 4 mm. If 500 N-m torques are applied as shown in figure,the maximum shearing stress in the jacket is

(A) 12.24 MPa (B) 7.65 MPa

(C) 15.3 MPa (D) 9.18 MPa

Q.31 Consider the figure as shown. Which of the followings are the required shear forceand bending-moment diagrams for the beam and loading ?


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Q.32 In an air-standard Otto cycle, the pressure and temperature at the beginning ofcompression are 100 kPap1 = and 300 KT 1 = , respectively. The cycle has a compressionratio of .8 5 and the heat addition per unit mas of air is 1400 /kJ kg . The ideal-gas proper-ties of air are given in table below.

, ( )KT , ( / )kJ kgu Relative Speci c volume r

, ( )KT , ( / )kJ kgu Relative Speci c volume r

300 214.07 621.2 1140 880.35 16.946

305 217.67 596.0 1160 897.91 16.064680 496.62 75.50 2200 1872.4 2.012690 504.45 72.56 2250 1921.3 1.864

The thermal efficiency of the cycle will be(A) 74.8% (B) 37.3%

(C) 46.4% (D) . %51 5

Q.33 Consider the system shown in figure below. If a change of 0.7 kPa in the pressure ofair causes the glycerin-mercury interface in the right column to drop by 5 mm in the glyc-erin ( . . 1.26)S G = level in the right column while the pressure in the glycerin pipe remainsconstant, the ratio of /A A2 1 is


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(A) 1.45 (B) 0.290

(C) 0.145 (D) 0.0145

Q.34 Water exists to the standard sea-level atmosphere through the split nozzle as shownin figure below. The weight flow rate at section 2 and 3 is equals to 748 N/s. If 16 cmD 1 =, 10 cmD D 2 3= = and 135 kPap1 = (absolute), the force on the flange bolts at section 1 is

(A) 3120 N (B) 1768 N

(C) 550 N (D) 802 N

Q.35 Water flows from tank A to tank B with the valve closed as shown in figure. If thefriction factor is .0 02 for all pipes and all minor losses are neglected, what will be the flowrate into tank B when the valve is opened to allow water to flow into tank C also ?


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(A) 0.180 /m s3 (B) 0.00180 /m s3

(C) 0.0180 /m s3 (D) 1.80 /m s3

Q.36 In a refrigerator refrigerant-134a enters the compressor as superheated vapor at a

rate of 0.12 /kg s with 246.36 /kJ kgh = and it leaves with 2 . 3 /kJ kgh 88 5= . The isentro-pic enthalpy of the refrigerant leaving the compressor is 281.16 /kJ kgh s = . The refrigerantis cooled in the condenser where . /kJ kgh 84 98= and it is throttled to 0.15 MPa . Neglectany heat transfer and pressure drops in the connecting lines between the components.What will be the isentropic efficiency of the compressor and the COP of the refrigerator ?

(A) 50.2%, 4.52 (B) 59.3%, 2.23

(C) . %82 5 , .3 83 (D) 72.6%, 5.40

Q.37Match the List I (Industrial use) with List II (Types of iron) and select the correctanswer using the codes given below the list :

List I List IIP. Material used for machine housings and

frames due to its high compression strengthand good vibration absorption properties.

1. Spheroidal graphite iron

Q. A mechanical mixture of pig iron anddistributed silicate slag.

2. White cast iron

R. The cast iron which has good ductility as

cast.

3. Cast iron

S. Cast iron in which the carbon is present inthe combined form as iron carbide.

4. Wrought iron

Codes : P Q R S(A) 2 1 4 3(B) 3 4 1 2


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(C) 1 2 4 3(D) 3 4 2 1

Q.38 Two metal pieces being cast have the same volume but different shapes; one is a

sphere and the other a cylinder with its height equal to its diameter. What will be the ratioof solidification times for casting of cylindrical and spherical shapes ?

(A) 0.36 (B) 0.53

(C) 0.92 (D) 0.76

Q.39 Match List I (Forging defects) with List II (Causes) and select the correct answerusing the codes given below the list :

List-I List-IIP. Cold shuts or laps 1. Due to rapid cooling from forging temperature.

Q. Die shift 2. Due to oxide scales occurring at hightemperature stick on the dies.

R. Dents 3. Due to metal surface folding against itselfduring forging.

S. Flakes 4. Due to misalignment between top and bottomforging dies and due to loose wedges.

T. Pitting 5. Due to the result of careless work.

Codes: P Q R S T(A) 3 4 5 1 2(B) 1 4 2 3 5(C) 3 4 1 5 2(D) 1 4 2 5 3

Q.40 A company makes pizza boxes. The sale of pizza boxes is a function of the advertis-ing expenditure. Quarterly advertising expenditures and sales of pizza boxes are given in

table :

Quarter AdvertisingExpenditures in Rs.

Sales Quarter AdvertisingExpenditures in Rs.

Sales

1. 4 1 6. 16 4

2. 10 4 7. 5 2

3. 15 5 8. 7 1


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Q.46 The voltage-length characteristic of a DC arc is V l 10 30= +^ h volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is

60 0.07V I = ^ h volts. What will be the arc power in volt-amp, corresponding to the op-timum arc length ?

Q.47 Customers arrive at a ticket counter according to a Poisson distribution with mean10 per hour. The space in front of the window, including that for the serviced car can ac-commodate a maximum of three cars. Other cars can wait outside this space. If the servicetime per customer is exponential with mean 5 minutes, what is the probability that anarriving customer can drive directly to the space in front of the window ?

Common Data For Q. 48 and 49.Consider 1 m long section of two long parallel cylinders. They have 20 cm diameter andare located 30 cm apart from each other as shown in figure. Both cylinders are black andare maintained at temperatures of 425 K and 275 K. The surroundings can be treated asa blackbody at 300 .K

Q.48 What will be the rate of radiation heat transfer between the cylinders ?

(A) . W106 4 (B) . W115 6

(C) 92.5 W (D) . W124 8

Q.49 What will be the rate of radiation heat transfer between the hot cylinder and thesurroundings ?

(A) W247 (B) 705 W

(C) W282 (D) W317


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Common Data For Q. 50 and 51.During an orthogonal cutting operation, the following informations are available :Chip thickness, t c 0.228 mm=Chip thickness ratio, r .0 557=Width of cut, b 6.35 mm=Cutting speed, V 2 /m s=Rake angle, 02 c=Cutting force, F c 567 N=Thrust force, F t 227 N=

Q.50 The shear stress along the shear plane and the power for the cutting operation,respectively, are

(A) . / , .N mm kW178 17 0 852 (B) 237.57 /N mm 2, 1.134 kW

(C) . / , .N mm kW344 51 1 6442

(D) . / , .N mm kW285 10 1 362

Q.51 What will be the shear strain in chip and shear strain rate respectively ?

(A) 1.42, 65.90 10 s3 1# (B) 2.22, 102.9 10 s3 1#

(C) 1.78, 82.38 10 s3 1# (D) .2 58, 119.45 10 s3 1#

Statement For Linked Answer Questions 52 and 53.

A differential band brake is shown in figure. The width and the thickness of the steelband are 100 mm and 3 mm respectively and the maximum tensile stress in the band is50 /N mm 2. The coefficient of friction between the friction lining and the brake drum is

.0 25.


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Q.52 What will be the tensions in the band ?

(A) 12 kN and 4210 N

(B) 10 kN and 3509 N

(C) 19 kN and 6656 N (D) 15 kN and 5263 N

Q.53 What will be the actuating force and the torque capacity of the brake ?

(A) 318.5 N and 2921 N m (B) 382.5 N and 3505 N m

(C) 271N and 2482 N m (D) 223.9 N and 2044 N m

Statement For Linked Answer Questions 54 and 55.Consider a Carnot heat engine which receives heat at 750 K and rejects the waste heatto the environment at 300 K. The entire work output of the heat engine is used to drivea Carnot refrigerator that removes heat from the cooled space at 15 Cc at a rate of400 / minkJ and rejects it to the same environment at 300 K.

Q.54 The rate of heat supplied to the heat engine will be

(A) . / minkJ65 1 (B) . / minkJ54 25

(C) . / minkJ130 2 (D) 108.5 / minkJ

Q.55 What will be the total rate of the heat rejection to the environment ?

(A) . / minkJ43 4 (B) 508.5 / minkJ

(C) . / minkJ421 7 (D) . / minkJ465 1


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(C) Even though the airline reservations and travel systems refer to the location asBrunswick, Georgia, the airport is called the Glynco Jetport.

(D) When the airport is called the Glynco Jetport, the airline reservations refer to thelocation as Brunswick, Georgia, and the travel systems.

Q.60 Choose the best word to fill the blank.

Being able to afford this luxury car will ______ getting a betterpaying job.(A) maximize (B) recombinant

(C) reiterate (D) necessitate

Q. 61 - Q. 65 carry two mark each.

When we were learning to read, most of us learned to sound out words by syllables in or-der to pronounce them. Syllables are parts of words that carry separate sounds, thoughthose sounds may be comprised of several letters. Every syllable must have a vowelsound. That vowel sound may be made up of more than one vowel letter. For instance,in the word arraignment, the a and i together make the long a sound. The g is silent.Breaking words into syllables is one of the best (18) ________ to divide and conquerlonger words.

Q.61 Based on the context of this passage, what is the best synonym for comprised?

(A) excluded (B) composed(C) fashioned (D) produced

Q.62 If 20 litres of chemical X are added to 80 litres of a mixture that is %10 chemicalX and %90 chemical Y , then what percentage of the resulting mixture is chemical X ?

(A) %15 (B) %28

(C) %33 31 (D) %40

Q.63 In a group, the ratio of the number of boys to the number of girls is P . The ratio ofthe number of girls to the number of boys is Q , then P Q + is always ?

(A) 1$ (B) 1#

(C) 2$ (D) 2>


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Q.64 Walking at 1 th101 of his usual speed, a man reaches his destination two minutes early.What is the time taken by him to cover the same distance at his usual speed?

(A) 20 minutes (B) 22 minutes

(C) 24 minutes (D) 18 minutes

Q.65 During the year 2007 at Deluxe Vacuum Co., the East and West divisions had equalsales and the North sold the most. Which graph could be the graph of Deluxes yearlysales for 2007 ?

(A) 1 (B) 2

(C) 3 (D) 4


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ANSWER KEY OF MODEL TEST PAPER - 11 2 3 4 5 6 7 8 9 10(B) (A) (B) (C) (B) (C) (D) (A) (D) (A)11 12 13 14 15 16 17 18 19 20

(B) (C) (A) (B) (D) (D) (A) (D) (C) (B)21 22 23 24 25 26 27 28 29 30(B) (C) (B) (C) (B) (A) (A) (B) (A) (A)31 32 33 34 35 36 37 38 39 40(C) (D) (C) (A) (C) (C) (B) (D) (A) (B)41 42 43. 44. 45. 46. 47. 48 49 50(D) (C) /13 10 1 1 12857 0.42 (C) (B) (B)

51 52 53 54 55 56 57 58 59 60(C) (D) (A) (D) (B) (B) (D) (A) (C) (D)61 62 63 64 65(B) (B) (C) (B) (D)

For detailed Solutions of this test paperplease mail to [email protected] . Pleasemention your Name, College, GraduatingYear and GATE Roll Number in the mail.

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Me Mock Test-1 Ac Theory Module04 Dc theory module 56

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