Mechanical Engineering Gate 2013 Set-4 Questions with Answer

Ques 40 GATE 2013 SET-4


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 41 GATE 2013 SET-4


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 42 GATE 2013 SET-4


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 43 GATE 2013 SET-4


During the electrochemical machining (ECM) of iron (atomic weight = 56, valency = 2) at current of 1000 A with 90% current efficiency, the material removal rate was observed to be 0.26 gm/s. If Titanium (atomic weight = 48, valency = 3) is machined by the ECM process at the current of 2000 A with 90% current efficiency, the expected material removal rate in gm/s will be

A

0.11

B

0.23

C

0.30

D

0.52


(c) is the correct answer.

Ques 44 GATE 2013 SET-4


Two cutting tools are being compared for a machining operation. The tool life equations are:
Carbide tool: VT1.6 = 3000
HSS tool: VT0.6 = 200
where V is the cutting speed in m/min and T is the tool life in min. The carbide tool will provide higher tool life if the cutting speed in m/min exceeds

A

15.0

B

39.4

C

49.3

D

60.0


(b) is the correct answer.

Ques 45 GATE 2013 SET-4


In orthogonal turning of a bar of 100 mm diameter with a feed of 0.25 mm/rev, depth of cut of 4 mm and cutting velocity of 90 m/min, it is observed that the main (tangential) cutting force is perpendicular to the friction force acting at the chip-tool interface. The main (tangential) cutting force is 1500 N.

The orthogonal rake angle of the cutting tool in degree is

A

zero

B

3.58

C

5

D

7.16


(a) is the correct answer.

Ques 46 GATE 2013 SET-4


In orthogonal turning of a bar of 100 mm diameter with a feed of 0.25 mm/rev, depth of cut of 4 mm and cutting velocity of 90 m/min, it is observed that the main (tangential) cutting force is perpendicular to the friction force acting at the chip-tool interface. The main (tangential) cutting force is 1500 N.

The normal force acting at the chip-tool interface in N is

A

1000

B

1500

C

2000

D

2500


(b) is the correct answer.

Ques 47 GATE 2013 SET-4


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 48 GATE 2013 SET-4


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 49 GATE 2013 SET-4


Cylindrical pins of 25+0.020+0.010 mm diameter are electroplated in a shop. Thickness of the plating is 30±2.0 micron. Neglecting gage tolerances, the size of the GO gage in mm to inspect the plated components is

A

25.042

B

25.052

C

25.074

D

25.084


(d) is the correct answer.

Ques 50 GATE 2013 SET-4


A linear programming problem is shown below.
Maximize 3x + 7y
Subject to
3x + 7y ≤ 10
4x + 6y ≤ 8
x, y ≥ 0
It has

A

an unbounded objective function.

B

exactly one optimal solution.

C

exactly two optimal solutions.

D

infinitely many optimal solutions.


(b) is the correct answer.

Ques 51 GATE 2013 SET-4


A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is

A

0.5

B

1.0

C

2.0

D

4.0


(c) is the correct answer.

Ques 52 GATE 2013 SET-4


A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure.

If the Young's modulus of the material varies linearly from E1 to E2 along the length of the rod, the normal stress developed at the section-SS is

A

P/A

B

P(E1-E2) / A(E1+E2)

C

PE2 / AE1

D

PE1 / AE2


(a) is the correct answer.

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