GATE XE year:2025 PYQs & Answers — Page 6

Questions 51–60 of 175. Imported answers require independent review unless marked reviewed.

If solid tin is in equilibrium with its vapor, the degree of freedom is (answer in integer) __________

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A GaP–GaAs semiconductor LED display has a band gap of 1.9 eV. The wavelength of emitted light in

m is (round off to two decimal places) __________

Given: Planck’s constant = 6.63 × 10

J s Velocity of light = 3 × 10

m s

1 eV = 1.6 × 10

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In an FCC crystal with lattice parameter a, consider the reaction of two leading partial dislocations, AB and CD, at the line of intersection of their slip planes (111) and (11̄1), respectively, as shown in the figure below. Dislocations, AB and CD, have Burgers vectors

and

, respectively, as given in the figure. Which one of the following options for the slip plane and the Burgers vector of the resulting dislocation is correct?

Diagram for Engineering Sciences question 53

Your answerChoose one option.

Slip plane is (001) and Burgers vector is

Slip plane is

and Burgers vector is

Slip plane is (001) and Burgers vector is

Slip plane is

and Burgers vector is

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Match the detector for a scanning electron microscope (SEM) in Column I with the resulting output in Column II.

SE: Secondary electrons; BSE: Backscattered electrons;

EDS: Energy Dispersive Spectroscopy; EBSD: Electron Backscatter Diffraction

Column I (P) SE Detector (Q) BSE Detector (R) EDS Detector (S) EBSD Detector

Column II (1) Elemental composition analysis (2) Kikuchi lines (3) Topographic image (4) Compositional contrast image

Your answerChoose one option.

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

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

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

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

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The triple point

is shown in a schematic phase diagram (pressure (P) – temperature (T) plot) for one component system.

and

are the free energies of solid, liquid and vapor, respectively. At a constant pressure,

, the correct free energy (G) versus temperature (T) plot is

Diagram for Engineering Sciences question 55

Your answerChoose one option.

Diagram for Engineering Sciences question 55 (figure 2)

Diagram for Engineering Sciences question 55 (figure 3)

Diagram for Engineering Sciences question 55 (figure 4)

Diagram for Engineering Sciences question 55 (figure 5)

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The TTT diagram for eutectoid steel is shown below. The steel after complete austenitization at 1073 K is rapidly cooled to different temperatures and held for varying times (as indicated in Column I) followed by quenching to 300 K. Assuming isothermal transformation, match the heat treatment conditions in Column I with the corresponding microstructure in Column II.

Column I Column II (P) Held at 300 K indefinitely (1) Bainite (Q) Held at 873 K for 4 minutes (2) Martensite (R) Held at 673 K for 20 minutes (3) Pearlite (S) Held at 623 K for 2 minutes (4) Bainite + Martensite

Diagram for Engineering Sciences question 56

Your answerChoose one option.

P – 3; Q – 2; R – 1; S – 4

P – 2; Q – 3; R – 1; S – 4

P – 2; Q – 1; R – 3; S – 4

P – 4; Q – 3; R – 1; S – 2

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A diffraction pattern is obtained from a powdered sample of a pure element, which has FCC crystal structure. If x and y are the Brag angles of the first and the third peaks, respectively, then the ratio,

, is (rounded off to one decimal place) ____________

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For a pure element with a BCC crystal structure, the surface energies per unit area of and free surfaces are

and

, respectively. The ratio,

, is (rounded off to one decimal place) ____________

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On applying 10 V across the two ends of a 100 cm long copper wire, the average drift velocity (in cm s

) in the wire is (rounded off to two decimal places) __________

Given: Electron density of copper =

Copper resistivity =

Electron charge =

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An aluminum transmission line of 7 km length is designed to carry 100 A current with no more than 2 MW power loss. The required minimum diameter (in mm) of the transmission line is (rounded to two decimal places) ____________

Given: Aluminum conductivity =

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GATE XE year:2025 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60