Mechanical Engineering Gate 2014 Set-3 Questions with Answer

Ques 14 GATE 2014 SET-3


A source at a temperature of 500 K provides 1000 kJ of heat. The temperature of environment is 27°C. The maximum useful work (in kJ) that can be obtained from the heat source is ________.


(400) is the correct answer.

Ques 15 GATE 2014 SET-3


A sample of moist air at a total pressure of 85 kPa has a dry bulb temperature of 30°C (saturation vapour pressure of water = 4.24 kPa). If the air sample has a relative humidity of 65%, the absolute humidity (in gram) of water vapour per kg of dry air is ________.


(20.5) is the correct answer.

Ques 16 GATE 2014 SET-3


The process utilizing mainly thermal energy for removing material is

A

Ultrasonic Machining

B

Electrochemical Machining

C

Abrasive Jet Machining

D

Laser Beam Machining


(d) is the correct answer.

Ques 17 GATE 2014 SET-3


The actual sales of a product in different months of a particular year are given below:

The forecast of the sales, using the 4-month moving average method, for the month of February is ________.


(240) is the correct answer.

Ques 18 GATE 2014 SET-3


A straight turning operation is carried out using a single point cutting tool on an AISI 1020 steel rod. The feed is 0.2 mm/rev and the depth of cut is 0.5 mm. The tool has a side cutting edge angle of 60°. The uncut chip thickness (in mm) is ________.


(0.1) is the correct answer.

Ques 19 GATE 2014 SET-3


A minimal spanning tree in network flow models involves

A

all the nodes with cycle/loop allowed

B

all the nodes with cycle/loop not allowed

C

shortest path between start and end nodes

D

all the nodes with directed arcs


(b) is the correct answer.

Ques 20 GATE 2014 SET-3


Match the casting defects (Group A) with the probable causes (Group B):
Group A
P: Hot tears
Q: Shrinkage
R: Blow holes
S: Cold Shut
Group B
1: Improper fusion of two streams of liquid metal
2: Low permeability of the sand mould
3: Volumetric contraction both in liquid and solid stage
4: Differential cooling rate

A

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

B

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

C

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

D

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


(b) is the correct answer.

Ques 21 GATE 2014 SET-3


Cutting tool is much harder than the workpiece. Yet the tool wears out during the tool-work interaction, because

A

extra hardness is imparted to the workpiece due to coolant used

B

oxide layers on the workpiece surface impart extra hardness to it

C

extra hardness is imparted to the workpiece due to severe rate of strain

D

vibration is induced in the machine tool


(c) is the correct answer.

Ques 22 GATE 2014 SET-3


The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both figure and table.

Point on the graph Description of the point
P1. Upper Yield Point
Q2. Ultimate Tensile Strength
R3. Proportionality Limit
S4. Elastic Limit
T5. Lower Yield Point
U6. Failure

A

P-1, Q-2, R-3, S-4, T-5, U-6

B

P-3, Q-1, R-4, S-2, T-6, U-5

C

P-3, Q-4, R-1, S-5, T-2, U-6

D

P-4, Q-1, R-5, S-2, T-3, U-6


(c) is the correct answer.

Ques 23 GATE 2014 SET-3


The hot tearing in a metal casting is due to

A

high fluidity

B

high melt temperature

C

wide range of solidification temperature

D

low coefficient of thermal expansion


(c) is the correct answer.

Ques 24 GATE 2014 SET-3


An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x,y) + iv(x,y), where i = √-1 . If u(x,y) = x2 - y2, then expression for v(x,y) in terms of x, y and a general constant c would be

A

xy + c

B

(x2+y2)/2 + c

C

2xy + c

D

(y-x)2/2 + c


(c) is the correct answer.

Ques 25 GATE 2014 SET-3


Consider two solutions x(t) = x1(t) and x(t) = x2(t) of the differential equation

A

1

B

-1

C

0

D

π/2


(a) is the correct answer.

Ques 26 GATE 2014 SET-3


A machine produces 0, 1 or 2 defective pieces in a day with associated probability of 1/6, 2/3 and 1/6, respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are

A

1 and 1/3

B

1/3 and 1

C

1 and 4/3

D

1/3 and 4/3


(a) is the correct answer.

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