A steel rod of length 1 m and cross sectional area 10^-4 m^2 is heated from 0^° C to 200^° C without being allowed to extend or bend. The compressive…

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