Metallurgical Engineering Gate Yearwise 



Metallurgical Engineering Gate 2021 Questions with Answer

Ques 40 GATE 2021

The vacancy concentration in a crystal doubles upon increasing the temperature from 27oC to 127oC. The enthalpy (in kJ mol-1) of vacancy formation is: _______ (round off to 2 decimal places). Given: R = 8.314 J mol-1K-1


6.93 is the correct answer.


Ques 41 GATE 2021

Match the nondestructive technique (in Column I) with its underlying phenomenon (in Column II):

A

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

B

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

C

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

D

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



Ques 42 GATE 2021

In the absence of any external stress, which one of the following statements related to the interaction of point defect and a dislocation is FALSE:

A

An oversized solute atom would preferentially migrate below the slip plane of an edge dislocation.

B

A spherically symmetric point defect can interact with both the hydrostatic and shear stress fields of a dislocation.

C

A point defect can locally modify the elastic modulus and thereby can change the interaction energy.

D

Vacancies are attracted towards the compressive region of dislocation.



Ques 43 GATE 2021

A single crystal aluminium sample is subjected to uniaxial tension along direction. If the applied tensile stress is 100 MPa and the critical resolved shear stress (CRSS) is 25 MPa, which one of the following slip systems will be activated?

A

[101](111)

B

[110](111)

C

[101](111)

D

[011](111)



Ques 44 GATE 2021

Two dislocation lines parallel to z-axis lying in the x-z plane are shown in the figure. The glide force (in Newton) exerted by the edge dislocation on the screw dislocation is: _______ (round off to nearest integer).

For the edge, the shear stress component is given by:
τxy = (Gb / 2π(1 - ν))(x(x2 - y2) / (x2 + y2)2)
Given: Shear modulus, G = 28 GPa Poisson's ratio, ν = 0.3 Burgers vector, b = 0.29 nm Distance between the two dislocations = 0.5 nm


67 is the correct answer.


Ques 45 GATE 2021

True strain for 60% height reduction of a sample subjected to hot forging is: _______ (round off to 2 decimal places).


-0.92 is the correct answer.


Ques 46 GATE 2021

Nickel undergoes isothermal oxidation at 800 K for a duration of 400 s resulting in a weight gain of 2 mg cm2. The weight gain (mg cm2) after a duration of 1600 s is: _______ (round off to nearest integer). Assume: Weight gain is proportional to square root of time.


4 is the correct answer.


Ques 47 GATE 2021

A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM. The immediate next time that they will beep together is

A

10.08 AM

B

10.42 AM

C

11.00 AM

D

10.00 PM



Ques 48 GATE 2021

If ⊕ ÷ ⊙ = 2; ⊕ ÷ 4 = 3; ⊙ + 4 = 5; Δ × ⊗ = 10,
Then, the value of (⊗ - ⊕)2 is:

A

0

B

1

C

4

D

16



Ques 49 GATE 2021

A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is

A

3/16

B

45/236

C

1/4

D

3/4



Ques 50 GATE 2021

The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is

A

1/8

B

1/6

C

1/4

D

1/2



Ques 51 GATE 2021

Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, in square units, equal to

A

1/4

B

1/8

C

1/16

D

1/32



Ques 52 GATE 2021

Elements A and B have the same crystal structure. For a dilute solution of B in A, which one of the following is true?
(Given: ΔHmix - Mixing enthalpy, aB - Activity of B and XB - Mole fraction of B)

A

If ΔHmix = 0 then aB < XB

B

If ΔHmix = 0 then aB > XB

C

If ΔHmix > 0, then aB < XB

D

If ΔHmix < 0, then aB < XB



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