A metallic bar of Young’s modulus, $0.5 imes10^{11}$ N m$^{-2}$ and coefficient of linear thermal expansion $10^{-5}\,^\circ C^{-1}$ length 1 m and area of cross-section $10^{-3}$ m$^2$ is heated from $0^\circ C$ to $100^\circ C$ without expansion or bending. The compressive force developed in it is:

Question

A metallic bar of Young’s modulus, $0.5	imes10^{11}$ N m$^{-2}$ and coefficient of linear thermal expansion $10^{-5}\,^\circ C^{-1}$ length 1 m and area of cross-section $10^{-3}$ m$^2$ is heated from $0^\circ C$ to $100^\circ C$ without expansion or bending. The compressive force developed in it is:

Dr. Abubacker · Accepted Answer

[Solution by Claude - not from source] $F=YA\alpha\Delta T=0.5	imes10^{11}	imes10^{-3}	imes10^{-5}	imes100=5	imes10^4$ N. Answer (4).

Explanation

Reviewed by Dr. Abubacker

Want to attempt the full paper?