GATE XE year:2026 PYQs & Answers — Page 7

Questions 61–70 of 197. Imported answers require independent review unless marked reviewed.

Fe has a density of 7.87 g.cm⁻³, atomic mass of 55.84 g.mol⁻¹ and net magnetic moment per atom of 2.22 Bohr magnetons (μB). The saturation magnetization of Fe, in A.m⁻¹, is ________ ×10⁵ (rounded off to one decimal place).

Given: μB = 9.27×10⁻²⁴ A.m², Avogadro number = 6.023×10²³ mol⁻¹

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At the peak (also denoted as UTS) of an engineering stress vs. engineering strain curve for ductile metal, the engineering strain is 0.2. The corresponding true stress (σ) vs. true strain (ε) relationship follows the equation: σ = Kεⁿ, where K and n are constants.

The engineering stress at the peak, in MPa, is ________ (rounded off to one decimal place).

Given: K = 200 MPa

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A 1 cm³ Si cube is doped with As with a concentration of 1 atom per 10⁹ Si atoms. The resistance of the doped Si cube, in Ohms, is ________ (rounded off to one decimal place).

Given: Atomic concentration of Si = 5×10²² cm⁻³ Intrinsic concentration of electrons in Si = 1×10¹⁰ cm⁻³ Electron mobility in Si = 1350 cm².V⁻¹.s⁻¹ Hole mobility in Si = 450 cm².V⁻¹.s⁻¹ Electron charge = 1.6×10⁻¹⁹ C

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A circular disk-shaped ceramic green body has a relative density of 50%. On sintering, both the height and the diameter of the disk shrink by 20%. The sintered disk’s relative density, in %, is ________ (rounded off to one decimal place).

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The standard electrode potential of Cu²⁺ | Cu is +0.34 V and Zn²⁺ | Zn is −0.76 V. For the Zn | Zn²⁺ || Cu²⁺ | Cu cell, the EMF, in Volts, is ________ (rounded off to two decimal places).

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Two axial members, namely OP and OQ, are pin joined at O as shown in the figure. A force

acts at point P along the positive x direction and a force

acts at point Q along the positive y direction.

The resultant of the applied forces makes an angle

(anticlockwise from the positive x-axis).

The value of

is _____.

Diagram for Engineering Sciences question 66

Your answerChoose one option.

30°

45°

60°

75°

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Two smooth drums each weighing

and radius,

are connected by a stiff rope of length,

as shown in the figure. Force

is applied using a massless lever (RS) of length,

. The friction between the drums and the lever (RS) is negligible. The system is in static equilibrium.

Which one of the following represents the CORRECT free body diagram of the lever (RS)?

Figures are not to scale.

, and

in the options are reaction forces and

is the frictional force.

Diagram for Engineering Sciences question 67

Your answerChoose one option.

Diagram for Engineering Sciences question 67 (figure 2)

Diagram for Engineering Sciences question 67 (figure 3)

Diagram for Engineering Sciences question 67 (figure 4)

Diagram for Engineering Sciences question 67 (figure 5)

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Identify the zero-force member in the truss structure as shown in the figure.

Diagram for Engineering Sciences question 68

Your answerChoose one option.

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A rigid block of mass

on a horizontal surface is connected to three springs each having spring constant

as shown in the figure.

Which one of the following is the CORRECT natural frequency of the system?

Diagram for Engineering Sciences question 69

Your answerChoose one option.

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Which among the following options is/are CORRECT unit(s) of stress?

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

N/m

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GATE XE year:2026 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65

Question 66

Question 67

Question 68

Question 69

Question 70