Heat And Thermodynamics

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