GATE XE discipline:engineering-sciences PYQs & Answers — Page 6

Questions 51–60 of 1772. Imported answers require independent review unless marked reviewed.

The interplanar spacing of

planes is 4.5 nm in a given crystal. For the

planes, the interplanar spacing, in nm, is ________ (rounded off to one decimal place).

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The equilibrium vacancy concentration in aluminum at 900 K is

. The enthalpy of formation of vacancies, in kJ·mol

, is ________ (rounded off to one decimal place).

Given: Universal gas constant = 8.314 J·K

·mol

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Three phases, α, β and L are shown in the binary phase diagram below. Identify the correct G − X (Gibbs free energy vs Composition) plot corresponding to temperature T₀.

Diagram for Engineering Sciences question 53

Your answerChoose one option.

Diagram for Engineering Sciences question 53 (figure 2)

Diagram for Engineering Sciences question 53 (figure 3)

Diagram for Engineering Sciences question 53 (figure 4)

Diagram for Engineering Sciences question 53 (figure 5)

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In a cubic crystal, the Burgers vector for a mixed dislocation line is

. The dislocation line lies along the [011] direction. The slip plane of the dislocation is

Your answerChoose one option.

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Match the Thermodynamic laws in Column I with the description given in Column II.

Column I: P — Zeroth law; Q — First law; R — Second law; S — Third law.

Column II: 1 — Entropy of a perfect crystal at 0 K is zero; 2 — Introduces Entropy; 3 — Defines thermal equilibrium; 4 — Defines internal energy.

Your answerChoose one option.

P → 3; Q → 4; R → 2; S → 1

P → 1; Q → 2; R → 4; S → 3

P → 1; Q → 4; R → 3; S → 2

P → 3; Q → 1; R → 2; S → 4

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Match the material property in Column I with the measurement technique in Column II.

Column I: P — Electrical conductivity; Q — Band gap energy; R — Young’s modulus; S — Heat of fusion.

Column II: 1 — UV-Vis spectroscopy; 2 — 4-Probe method; 3 — Differential scanning calorimetry; 4 — Acoustic measurement.

Your answerChoose one option.

P → 2; Q → 1; R → 4; S → 3

P → 1; Q → 2; R → 4; S → 3

P → 2; Q → 3; R → 4; S → 1

P → 1; Q → 4; R → 2; S → 3

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Which one of the following statements regarding point defects in ionic solids is correct?

Your answerChoose one option.

Frenkel defects are dominant in those ionic solids where there is a considerable size difference between the cation and anion.

Schottky defects are dominant in those ionic solids where there is a considerable size difference between the cation and anion.

Schottky defects are the dominant defects in all ionic solids.

Similar density of both Frenkel and Schottky defects is present in all ionic solids.

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Consider 3 crystals (all having FCC lattice) labeled as P, Q and R as described below:

Crystal P: Cu crystal with 4 Cu atoms per unit cell Crystal Q: NaCl crystal with 4 Na⁺ ions and 4 Cl⁻ ions per unit cell Crystal R: Diamond crystal with 8 C atoms per unit cell

Which of the following options is/are correct?

Your answerSelect all correct options. You can choose more than one.

Only crystal P is a close packed structure.

Only crystal Q is a close packed structure.

Crystal R has the smallest packing factor.

All the crystals P, Q and R are close packed structures.

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Which of the following statements is/are applicable to Fick’s second law:

Your answerSelect all correct options. You can choose more than one.

Concentration changes with time

Steady state condition prevails

Diffusion is time dependent

Concentration profile is linear

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According to quantum free electron theory, which of the following statements is/are correct regarding the behavior of valence electrons in a metal?

Your answerSelect all correct options. You can choose more than one.

Valence electrons are localized to individual atoms.

Valence electrons are delocalized within the crystal.

Energy distribution of valence electrons follows Fermi-Dirac statistics.

Energy distribution of valence electrons follows Maxwell-Boltzmann statistics.

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GATE XE discipline:engineering-sciences PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60