Physics - Elasticity Question with Solution | TestHub

Steel wire of length $L$ at $40^{\circ }\mathrm{C}$ is suspended from the ceiling and then a mass $m$ is hung from its free end. The wire is cooled down from $40^{\circ }\mathrm{C}$ to $30^{\circ }\mathrm{C}$ to regain its original length $L$. The coefficient of linear thermal expansion of the steel is $10^{-5}/{}^{\circ }\mathrm{C}$, Young's modulus of steel is $10^{11}\mathrm{N}/{\mathrm{m}}^2$ and radius of the wire is $1\mathrm{mm}$. Assume that $L>$ diameter of the wire. Then, the value of $m$ in $\mathrm{kg}$ is nearly