What topics are covered on Page 4 of GATE 2026 Metallurgical Engineering questions?

Page 4 contains Questions 40 to 52. Topics include Shockley partial dislocations, dislocation reactions, precipitation hardening, spinodal decomposition, GP zones, recovery after cold work, phase diagrams, crystal systems, electrical and magnetic properties, liquid-phase sintering, powder-compaction shrinkage, entropy of mixing and reversible isothermal expansion.

What type of dislocation is a Shockley partial in an FCC metal?

A Shockley partial is an imperfect and mobile dislocation in a face-centered cubic crystal.

What is the correct precipitation-hardening sequence for Al-4 percent Ag?

The correct processing sequence is solution treatment followed by quenching and then aging.

What is the precipitation sequence in an Al-4 wt.% Cu alloy?

During isothermal aging, the correct sequence is GP zone followed by theta double-prime, theta prime and finally equilibrium theta.

What is the linear shrinkage of the iron compact during sintering?

When the compact density increases from 75 percent to 90 percent of theoretical density with isotropic shrinkage, the linear shrinkage is 5.9 percent.

What is the entropy of mixing of the gold-silver solid solution?

For 20 g each of gold and silver forming an ideal single-phase solid solution, the total entropy of mixing is 1.55 J/K.

What is the work done during the reversible isothermal expansion in Question 52?

For two moles of ideal gas expanding reversibly from 10 L to 20 L at 27 degrees Celsius, the magnitude of the work done is 3457.69 J.

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Metallurgical Engineering Gate 2026 Questions with Answer

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Ques 40 GATE 2026

Which one of the following options is correct?
In a face-centered cubic metal, Shockley partial is:

Perfect and mobile dislocation

Perfect and immobile dislocation

Imperfect and immobile dislocation

Imperfect and mobile dislocation

(d) is the correct answer.

Ques 41 GATE 2026

Which one of the following dislocation dissociation reactions is feasible in face-centered cubic metals?

a/2[0 1̄ 1] → a/6[1 2̄ 1] + a/6[1̄ 1̄ 2]

a/2[0 1̄ 1] → a/6[1 1̄ 2] + a/6[2 1 1̄]

a/2[0 1̄ 1] → a/6[1 1̄ 2] + a/6[1̄ 2̄ 1̄]

a/2[0 1̄ 1] → a/6[1 2̄ 1] + a/6[2 1̄ 1̄]

(a) is the correct answer.

Ques 42 GATE 2026

Which one of the following options is correct?
For Al - 4 % Ag alloy (composition in atom %), the correct sequence of operations involved in precipitation hardening is:

Quenching → Aging → Solution treatment

Solution treatment → Aging → Quenching

Aging → Solution treatment → Quenching

Solution treatment → Quenching → Aging

(d) is the correct answer.

Ques 43 GATE 2026

Which one of the following options is correct?
In a binary alloy system, during spinodal decomposition, uphill diffusion occurs:

From higher to lower concentration and from higher to lower chemical potential

From higher to lower concentration and from lower to higher chemical potential

From lower to higher concentration and from lower to higher chemical potential

From lower to higher concentration and from higher to lower chemical potential

(d) is the correct answer.

Ques 44 GATE 2026

Which one of the following options is correct?
In Al - 4 wt.% Cu alloy during isothermal aging, the correct precipitation sequence is:

θ'' → θ' → θ → GP zone

GP zone → θ → θ' → θ''

θ → θ' → θ'' → GP zone

GP zone → θ'' → θ' → θ

(d) is the correct answer.

Ques 45 GATE 2026

Which one of the following options is correct?
After cold-working of a metallic specimen, during the recovery stage, its electrical conductivity:

Always increases

Always decreases

Can increase or decrease

Remains unaffected

(a) is the correct answer.

Ques 46 GATE 2026

For an equilibrium phase diagram of a binary A-B alloy at a constant pressure as shown in the figure (point X lies in the two-phase Liquid+Solid region), the degree of freedom at 'X' is (answer in integer) _______________.

(1) is the correct answer.

Ques 47 GATE 2026

Match the crystal systems in Column I with the corresponding axial lengths (a, b, c) and interaxial angles (α, β, γ) provided in Column II

Column I	Column II
(P) Tetragonal	(1) a≠b≠c, α=β=γ=90°
(Q) Rhombohedral	(2) a=b≠c, α=β=γ=90°
(R) Orthorhombic	(3) a≠b≠c, α=γ=90°≠β
(S) Monoclinic	(4) a=b=c, α=β=γ≠90°

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

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

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

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

(b) is the correct answer.

Ques 48 GATE 2026

Match the terms in Column I with the corresponding attributes in Column II:

Column I	Column II
(P) Wiedemann-Franz law	(1) Charge carrier concentration
(Q) Neel temperature	(2) Paramagnetism
(R) Hall voltage	(3) Ratio between thermal conductivity and electrical conductivity of metals
(S) Curie law	(4) Diamagnetism
	(5) Anti-ferromagnetism

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

P-2, Q-5, R-1, S-3

P-3, Q-5, R-1, S-2

P-3, Q-4, R-5, S-2

Ques 49 GATE 2026

An alloy having composition W-20 wt.% Ni is prepared by mixing elemental powders. The resulting powder mixture is liquid phase sintered at 1550 °C for 1 hour. The liquid phase sintered microstructure consists of interconnected, spherical tungsten grains dispersed in nickel. The tungsten grain size is 70 µm and the W-W interparticle neck diameter is 35 µm. If W-Ni interfacial energy is 0.30 J/m², the W-W interfacial energy (in J/m²), rounded off to two decimal places is ___________________
(Given: melting point of W: 3410 °C and melting point of Ni: 1455 °C)

(0.52) is the correct answer.

Ques 50 GATE 2026

Iron powder is compacted at room temperature to 75% of its theoretical density. The as-pressed iron compact is sintered in inert-gas atmosphere at 1200 °C to 90% of its theoretical density. Assuming isotropic shrinkage, the linear shrinkage (in percent) undergone by the iron compact during sintering (rounded off to one decimal place) is ________________ %

(5.9) is the correct answer.

Ques 51 GATE 2026

20 g of gold (Au) and 20 g of silver (Ag) are mixed to form a single-phase solid solution (assume ideal mixing). The atomic weight of Au is 197 g/mol and the atomic weight of Ag is 108 g/mol. The value of universal gas constant R is 8.314 J/mol-K. The total entropy of mixing (rounded off to two decimal places) is ___________ J/K.

(1.55) is the correct answer.

Ques 52 GATE 2026

2 moles of an ideal gas is reversibly expanded from 10 liter to 20 liter at isothermal condition. The value of universal gas constant R is 8.314 J/mol-K. If the temperature of the gas is 27 °C, the magnitude of work done in the process (rounded off to two decimal places) is ______________ Joules.

(3457.69) is the correct answer.

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