GATE XE 2026 Paper 1 — page 21

Questions 61–63 of 197. Imported answers require review unless explicitly 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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2026 · Paper 1

Question 61

Question 62

Question 63