18 June 2012

GATE 2012 MECHANICAL PAPER SOLVED

1. In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate
a) increases continuously
b) decreases continuously
c) decreases, becomes stable and then increases
d) increases, becomes stable and then increases
ans. d

4. During normalizing process of steel, the specimen is heated
a) between the upper and lower critical temperature and cooled in still air
b) above the upper critical temperature and cooled in furnace
c) above the upper critical temperature and cooled in still air
d) between the upper and lower critical temperature and cooled in furnace
ans. c

7.Stream enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kj/kg and leaves as the mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the saturated liquid and vapor at 15 kPa are hf=225.94kj/kg and hg=2598.3 kj/kg respectively. The mass flow rate of steam is 10 kg/s. Kinetic and potential enregy changes are negligible. The power output of the turbine in MW is
a) 6.5
b) 8.9
c) 9.1
d) 27.0
ans. b

8. The following are the data for two crossed helical gears used for speed reduction:
Gear 1: pitch circle diameter in the plane of rotation 80 mm and helix angle 30'
Gear 2: pitch cirlce diameter in the plane of rotation 120 mm and helix angle 22.5'
If the input speed is 1440 rpm , the output speed in rpm is
a) 1200
b) 900
c) 875
d) 720
ans. b

10. A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% , with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is
a) 0
b) 1
c) 1.08
d) 2.02
ans. d

11. The area enclosed between the straight line y=x and the parabola y= x.x in the x-y plane is
a) continuous and differentiable
b) non-continuous and differentiable
c) continuous and non-differentiable
d) nither continuous nor differentiable
ans. c

13. Which one of the following is NOT a decision taken during the aggregate production planning stage?
a) Scheduling  of machines
b) Amount of labour to be committed
c) Rate at which production should happen
d) Inventory to be carried forward
ans. a

15.A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2mm depth by a cutter of 10 mm diameter between points (0,0) and (100,100) on the XY plane (diemensions in mm). The feed rate used for milling is 50 mm/min. Milling time for the slot (in seconds) is
a) 120
b) 170
c) 180
d) 240
ans. a

16. A solid cylinder diameter 100 mm and height 10 mm is forged between two frictionless flat dies to a height of 25 mm. The percentage change in diameter is
a) 0
b) 2.07
c) 20.7
d) 41.4
ans. d

18. Which one of the following configuration has the highest fin effectiveness?
a) Thin, closely spaced fins
b) Thin , widely spaced fins
c) Thick, widely spaced fins
d) Thick, closely spaced fins
ans. a

21. A circular solid disc of unifrom thickness 20 mm , radius 200 mm and mass 20 kg , is used as flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in joules is
a) 395
b) 790
c) 1580
d) 3160
ans. b

23. For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is
a) 1
b) 2
c) 4
d) 8
ans. c

28.In a single pass drilling operation, a through hole 15 mm diameter is to be drilled in a steel plate of 50 mm thickness. Drill spindle speed is 500 rpm , feed is 0.2 mm/rev and drill point angle is 118' .Assuming 2 mm clearance at approach and exit, the total drill time (in seconds) is
a) 35.1
b) 32.4
c) 31.2
d) 30.1
ans. a

30. An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness 1 mm at a location where the Reynolds number is 1000 .If the velocity of the fluid alone is increased by a factor of 4, then the boundary layer thickness at the same location, in mm will be
a) 4
b) 2
c) 0.5
d) 0.25
ans. c

38. In a single pass rolling process using 410 mm diameter steel rollers, a strip of width 140 mm and thickness 8 mm undergoes 10% reduction of thickness. The angle of bite in radians is
a) 0.006
b) 0.031
c) 0.062
d) 0.600
ans. c

39. In a DC arc welding operation, the voltage-arc length characterstic was obtained as Varc=20+5l where the arc length l was varied between 5 mm and 7 mm . Here Varc denotes the arc voltage in Volts. The arc current was varied from 400 A to 500 A . Assuming linear power source characterstic, the open circuit voltage and the short circuit current for welding operation are 
a) 45 V, 450 A
b) 75 V, 750 A
c) 95 V, 950 A
d) 150 V, 1500 A
ans. c

41.Water (Cp=4.18 kj/kg.K) at 80'C enters a counterflow heat exchanger with a mass flow rate of 0.5 kg/s. air(Cp= 1kj/kg.K) enters at 30'C with a mass flow rate of 2.09 kg/s . If the effectiveness of the heat exchanger is 0.8, the LMTD (in 'C) is
a) 40 
b) 20 
c) 10
d) 5
ans. c

43. A solid circular shaft needs to be designed to transmit a torque of 50 N.m. If the allowable shear stress of the material is 140 MPa, assuming a factor of safety of 2, the minimum allowable design diamter in mm is 
a) 8
b) 16
c) 24
d) 32
ans. b

45. A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is
a) 1/20 
b) 1/12
c) 3/10
d) 1/2
ans. d

47. x+2y+z=4
     2x+y+2z=5
    x-y+z=1
The system of algebraic equations given above has
a) a unique solution of x=1,y=1 and z=1
b) only the two solutions of (x=1,y=1,z=1) and (x=2,y=1,z=0).
c) infinite number of solutions
d) no feasible solution
ans. c

56. choose the most appropriate alternative from the options given below to complete the following sentence:
Suresh's dog is the one_____ was hurt in the stampede.
a) that
b) which
c) who
d) whom
ans. a

57. fill in the blank
Despite several ________ the mission succeeded in its attempt to resolve the conflict.
a) attempts
b) setbacks
c) meetings
d) delegations
ans. b

59. which one of the following options is the closest in the meaning of the word given below?
Mitigate
a) Diminish
b) Divulge
c) Dedicate
d) Denote
ans. a

61. Given the sequence of terms AD CG FK JP , the next term is
a) OV
b)OW
c) PV
d) PW
ans. a





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