Physics - Heat & Thermo Question with Solution | TestHub

A thin rod having a length of$1 \mathrm{m}$and area of cross-section$3\times {10}^{-6} {\mathrm{m}}^2$is suspended vertically from one end. The rod is cooled from$210°\mathrm{C}$to$160°\mathrm{C}$. After cooling, a mass$M$is attached at the lower end of the rod such that the length of rod again becomes$1 \mathrm{m}$. Young's modulus and coefficient of linear expansion of the rod are$2\times {10}^{11} \mathrm{N} {\mathrm{m}}^{-2}$and$2\times {10}^{-5} {\mathrm{K}}^{-1}$, respectively. The value of$M$is ______$\mathrm{kg}$. (Take$g=10 \mathrm{m} {\mathrm{s}}^{-2}$)