Metallurgical Engineering Gate Yearwise 



Metallurgical Engineering Gate 2024 Questions with Answer

Ques 40 GATE 2024

As shown in the figure, the right end of a slender, long solid cylindrical metal rod of thermal conductivity k, length L and diameter d (<< L) is in contact with an infinite liquid heat sink. At steady-state, the temperatures of the right end of the rod and the heat sink are T2 and T0, respectively. If the convection heat transfer coefficient between the liquid heat sink and the right end of the rod is h, then what would be the temperature of the left end of the rod, T1, at steady-state? Assume that there is no other heat loss.

A

T1 = T2 + (T2 - T0)hL/k

B

T1 = T2 - (T2 - T0)hL/k

C

T1 = T2 - (T2 - T0)k/hL

D

T1 = T2 + (T2 - T0)k/hL



Ques 41 GATE 2024

Match the dimensionless numbers listed in Column I with their applications to transport phenomena listed in Column II.

A

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

B

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

C

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

D

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



Ques 42 GATE 2024

For a body centered cubic (BCC) crystal structure, what is the ratio of interplanar spacings of the (100), (110) and (111) planes? (Round off to two decimal places)

A

1:0.32:0.71

B

1:0.71:0.58

C

1:0.58:0.71

D

1:0.58:0.32



Ques 43 GATE 2024

The constitutional undercooling condition for a hypothetical binary alloy of A with solute B during solidification is shown in the figure along with its binary phase diagram. Based on these two schematics, one can conclude that the solute concentration in region X will be _______ the average composition of the initial liquid phase.

A

less than

B

greater than

C

same as

D

independent of



Ques 44 GATE 2024

The microstructures of a quenched steel tempered at three temperatures T1 < T2 < T3 for a fixed time are schematically illustrated. The solid circles represent cementite particles in ferrite matrix; r̅1, r̅2 and r̅3 are average radii of cementite particles, and V1, V2 and V3 are volume fractions of cementite at temperatures T1, T2 and T3 respectively.

If the cementite in steel is more noble than ferrite, then which one of the three microstructures will have the highest corrosion rate when exposed to an aqueous solution of 3.5 wt.% NaCl?

A

T1

B

T2

C

T3

D

All will have the same corrosion rate



Ques 45 GATE 2024

An isotropic metallic cuboid block shown in the figure has a coefficient of linear thermal expansion α, Young's modulus E and Poisson's ratio v. The dimensions of the cuboid are a, b and c in the X, Y and Z directions, respectively. It is rigidly constrained against expansion in the X direction. However, it is free to expand in the Y and Z directions. It is initially stress-free. Subsequently, it is heated so that its temperature increases by ΔT. What would be the CHANGE in the dimension of the cuboid in the Y direction? Assume linear elasticity, and that thermal as well as mechanical strains are infinitesimally small.

A

b(1-v)αΔT

B

b(1+v)αΔT

C

bαΔT

D

b(1+α)ΔT



Ques 46 GATE 2024

Match the entries in Column I with the stacking sequences of the close-packed planes listed in Column II.

A

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

B

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

C

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

D

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



Ques 47 GATE 2024

Which one of the following graphs represents Griffith's criterion for the growth of a crack in a brittle isotropic infinitely large plate with a center crack? In the graph, ΔSE is the magnitude of the total strain energy released (shown by solid curve) and Γs is the total surface energy (shown by dashed line) and ac is the critical crack length (shown by downward arrow) at which the crack starts growing. The tangent to the ΔSE curve parallel to the Γs line is shown by the dotted line.

A

B

C

D



Ques 48 GATE 2024

For rolling of slabs, determine the correctness or otherwise of the following Assertion [a] and Reason [r].
Assertion [a]: Grooves are made on the surface of the rolls parallel to their roll axes to achieve large thickness reduction in a short time.
Reason [r]: Given μ is the coefficient of friction between the rolls and the slab, and α is the angle of bite between the entrance plane and the centerline of the rolls, unaided entry of slab in the rolls can take place only if μ < tan α.

A

Both [a] and [r] are true, and [r] is the correct reason of [a].

B

Both [a] and [r] are true, but [r] is the not the correct reason of [a].

C

Both [a] and [r] are false.

D

[a] is true, but [r] is false.



Ques 49 GATE 2024

Which of the following statements is/are correct?

A

Ultimate analysis of coal involves determination of moisture, volatile matter, fixed carbon and ash.

B

Reduction of wustite in blast furnace occurs at the lower part of the stack.

C

Roasting involves reduction of sulfide ores to pure metals.

D

White metal (impure Cu2S) is produced by oxidizing Fe and S during smelting of Cu-Fe matte.



Ques 50 GATE 2024

A creep test of a pure polycrystalline metal is performed in tension and the creep strain rate is observed to decrease during the primary stage. The creep mechanism is later determined to be dislocation-climb-controlled. The observed decrease in creep strain rate is/are due to _______.

A

an increase in dislocation density.

B

grain growth.

C

a decrease in the dislocation density.

D

an increase in the cross-sectional area of the sample.



Ques 51 GATE 2024

Which of the following statements is/are correct about welding processes?

A

In brazing, the filler material has a melting point above 450 °C and below the solidus temperature of the materials being joined.

B

In TIG welding, tungsten is the filler material.

C

Friction welding is a solid-state joining process.

D

The following reaction is associated with thermit welding:
C2H2(g) + 5/2 O2(g) → 2CO2(g) + H2O(g) + Heat(ΔH)
Note: (g) stands for gas.



Ques 52 GATE 2024

Which of the following statements is/are correct for non-destructive testing?

A

Liquid dye penetration technique can be utilized for detecting surface cracks.

B

In radiographic examination, internal cracks cannot be detected.

C

Eddy current-based techniques can be used for detecting sub-surface defects in pure alumina at room temperature.

D

Ultrasonic inspection is unsuitable for inspecting sub-surface defects in high damping capacity material (e.g., cast iron).



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