A metallic bar of Young's modulus 0.5 imes 10^{11}\ \mathrm{N\,m^{-2}} and coefficient of linear thermal expansion 10^{-5}\ ^\circ\mathrm{C}^{-1}, length 1 m and area of cross-section 10^{-3}\ \math

Question

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

Vishal Gupta · Accepted Answer

A. Thermal strain prevented = \alpha\Delta T = 10^{-5} 	imes 100 = 10^{-3}. Force = Y A \alpha\Delta T = 0.5	imes10^{11} 	imes 10^{-3} 	imes 10^{-3} = 5	imes10^4 N = 50	imes10^3 N.

Thermal Properties of Matter

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