Q 11-10-073JEE MainJEE Main 2023 (8 Apr, Shift 2)Easy
A steel rod of length $1$ 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 ______ $\times10^4$ N. (Given Young's modulus of steel $=2\times10^{11}\ \text{N m}^{-2}$, coefficient of linear expansion $=10^{-5}\ \text{K}^{-1}$)
Numerical value type. Enter your answer.
Answer: 4
$F=YA\alpha\Delta T=2\times10^{11}\times10^{-4}\times10^{-5}\times200=4\times10^4$ N.
Solution by Sreeraj P, M.Sc Physics