A steel rod of length 1 m and cross sectional area 10⁻⁴ m² is heated from 0 to 200 without being allowed to extend or bend. The compressive tension produced in the rod is ___________ × 10⁴ N. (Given Young's modulus of steel = 2 × 10¹¹ N m⁻², coefficient of linear expansion = 10⁻⁵ K⁻¹) Numerical answer type. Work it out, then open the answer.

Answer: 4. F = YAαΔ T F = 2×10¹¹ × 10⁻⁴ × 10⁻⁵ × 200 = 4×10⁴ N So the answer is 4.

A steel rod of length 1 m and cross sectional area 10⁻⁴ m² is heated… | JEE Main 2023 (8 Apr, Shift 2)

Q41JEE Main 2023 · 8 APR · SHIFT 2Medium

Thermometry & Thermal Expansion

A steel rod of length $1\text{ m}$ and cross sectional area $10^{-4}\text{ m}^2$ is heated from $0^\circ\text{C}$ to $200^\circ\text{C}$ without being allowed to extend or bend. The compressive tension produced in the rod is ___________ $\times 10^4\text{ N}$ . (Given Young's modulus of steel $= 2 \times 10^{11}\text{ N m}^{-2}$ , coefficient of linear expansion $= 10^{-5}\text{ K}^{-1}$ )

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 4

$F = YA\alpha\Delta T$
$F = 2\times10^{11} \times 10^{-4} \times 10^{-5} \times 200 = 4\times10^4$ N
So the answer is 4.

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Thermometry & Thermal Expansion question from JEE Main 2023 (8 Apr, Shift 2)

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