Mechanical Engineering Gate 2013 Set-2 Questions with Answer

Ques 27 GATE 2013 SET-2


For a ductile material, toughness is a measure of

A

resistance to scratching

B

ability to absorb energy up to fracture

C

ability to absorb energy till elastic limit

D

resistance to indentation


(b) is the correct answer.

Ques 28 GATE 2013 SET-2


A cube shaped casting solidifies in 5 min. The solidification time in min for a cube of the same material, which is 8 times heavier than the original casting, will be

A

10

B

20

C

24

D

40


(b) is the correct answer.

Ques 29 GATE 2013 SET-2


A steel bar 200 mm in diameter is turned at a feed of 0.25 mm/rev with a depth of cut of 4 mm. The rotational speed of the workpiece is 160 rpm. The material removal rate in mm3/s is

A

160

B

167.6

C

1600

D

1675.5


(d) is the correct answer.

Ques 30 GATE 2013 SET-2


Customers arrive at a ticket counter at a rate of 50 per hr and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is 1 min. Assuming that customer arrivals form a Poisson process and service times are exponentially distributed, the average waiting time in queue in min is

A

3

B

4

C

5

D

6


(c) is the correct answer.

Ques 31 GATE 2013 SET-2


In simple exponential smoothing forecasting, to give higher weightage to recent demand information, the smoothing constant must be close to

A

-1

B

zero

C

0.5

D

1.0


(d) is the correct answer.

Ques 32 GATE 2013 SET-2


A metric thread of pitch 2 mm and thread angle 60° is inspected for its pitch diameter using 3-wire method. The diameter of the best size wire in mm is

A

0.866

B

1.000

C

1.154

D

2.000


(c) is the correct answer.

Ques 33 GATE 2013 SET-2


Match the CORRECT pairs.

ProcessesCharacteristics / Applications
P. Friction Welding1. Non-consumable electrode
Q. Gas Metal Arc Welding2. Joining of thick plates
R. Tungsten Inert Gas Welding3. Consumable electrode wire
S. Electroslag Welding4. Joining of cylindrical dissimilar materials

A

P-4, Q-3, R-1, S-2

B

P-4, Q-2, R-3, S-1

C

P-2, Q-3, R-4, S-1

D

P-2, Q-4, R-1, S-3


(a) is the correct answer.

Ques 34 GATE 2013 SET-2


In a rolling process, the state of stress of the material undergoing deformation is

A

pure compression

B

pure shear

C

compression and shear

D

tension and shear


(c) is the correct answer.

Ques 35 GATE 2013 SET-2


Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure. The conductivity of the wall is given by k = k0 + bT; where k0 and b are positive constants, and T is temperature.

As x increases, the temperature gradient (dT/dx) will

A

remain constant

B

be zero

C

increase

D

decrease


(d) is the correct answer.

Ques 36 GATE 2013 SET-2


The pressure, dry bulb temperature and relative humidity of air in a room are 1 bar, 30°C and 70%, respectively. If the saturated steam pressure at 30°C is 4.25 kPa, the specific humidity of the room air in kg water vapour/kg dry air is

A

0.0083

B

0.0101

C

0.0191

D

0.0232


(c) is the correct answer.

Ques 37 GATE 2013 SET-2


For steady, fully developed flow inside a straight pipe of diameter D, neglecting gravity effects, the pressure drop Δp over a length L and the wall shear stress τw are related by

A

τw = Δp D / 4L

B

τw = Δp D2 / 4L2

C

τw = Δp D / 2L

D

τw = 4Δp L / D


(a) is the correct answer.

Ques 38 GATE 2013 SET-2


A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure. If OA = 1 m, the magnitude of the absolute acceleration of the block at location A in m/s2 is

A

3

B

4

C

5

D

6


(c) is the correct answer.

Ques 39 GATE 2013 SET-2


Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is

A

16

B

24

C

36

D

48


(b) is the correct answer.

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