GATE MT year:2019 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

Match the ceramics in Column I with corresponding application in Column II.

Column I: Ceramics (P) Mullite (Q) Spinel ferrites (R) Tungsten carbide (S) Barium titanate

Column II: Application

Cutting tools

Refractories

Piezoelectric

Soft magnet

Your answerChoose one option.

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

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

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

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

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An aluminum single crystal is loaded in tension along [1̄ 1 0] axis. Among the following slip systems, the one that will be activated first is

Your answerChoose one option.

(1̄ 1̄ 1)[0 1̄ 1]

(1̄ 1̄ 1)[0 1 1]

(1̄ 1̄ 1)[1 1̄ 0]

(1̄ 1̄ 1)[1 0 1]

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The correct Mohr’s circle construction for the stress state given below is _____________.

Diagram for Metallurgical Engineering question 33

Stress state:

The shared axes are

to the right and

upward.

Your answerChoose one option.

Diagram for Metallurgical Engineering question 33 (figure 2)

Diagram for Metallurgical Engineering question 33 (figure 3)

Diagram for Metallurgical Engineering question 33 (figure 4)

Diagram for Metallurgical Engineering question 33 (figure 5)

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Match the automobile components in Column I with the corresponding manufacturing process in Column II.

Column I: Automobile components (P) Engine block (Q) Brake pad (R) Connecting rod (S) Door panel

Column II: Manufacturing process

Forging

Sheet metal forming

Casting

Powder metallurgy

Your answerChoose one option.

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

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

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

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

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The equilibrium constant for the following reaction at 300 K is _____________.

C (graphite) + 2H₂ (g) → CH₄ (g)

Given: At 300 K, ΔH° = −74,900 J.mol⁻¹; ΔS° = −80 J.mol⁻¹.K⁻¹; R = 8.314 J.mol⁻¹.K⁻¹.

Your answerChoose one option.

5.6 × 10⁶

3.6 × 10⁷

4.0 × 10⁸

7.3 × 10⁸

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A 50 cm long rod is placed against a vertical wall such that the bottom of the rod is 30 cm away from the wall. If the bottom of the rod is pulled horizontally away from the wall at 4 cm.s⁻¹, the top of the rod starts sliding down the wall with an instantaneous velocity (in cm.s⁻¹, rounded off to two decimal places) of magnitude _____________.

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The probability of solving a problem by Student A is (1/3), and the probability of solving the same problem by Student B is (2/5). The probability (rounded off to two decimal places) that at least one of the students solves the problem is _____________.

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Numerical value of work done (rounded off to the nearest integer) by a position-dependent force

(where

and

are unit vectors) along the path,

, from (0,0) to (2,2) in the xy plane is _____________.

Diagram for Metallurgical Engineering question 38

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The estimated value of the cube root of 37 (rounded off to two decimal places) obtained from the Newton-Raphson method after two iterations (x₂) is _____________.

[Start with an initial guess value of x₀ = 1].

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The partial pressure of zinc (in torr, rounded off to two decimal places) in equilibrium with liquid lead containing 0.03 mole % zinc at 900 K is _____________.

Given: Vapour pressure of pure zinc (

) at 900 K is 0.027 atm. Henry’s law coefficient (

) for zinc at infinite dilute solution in lead on Raoultian scale is 8.55.

1 torr = 1.316 × 10⁻³ atm.

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GATE MT year:2019 PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40