Physics - Elasticity Question with Solution | TestHub

We know that, elastic potential energy per unit volume $=\frac{1}{2}\times$ Stress $\times$ Strain Also, $Y=\frac{\text{ Stress }}{\text{ Strain }}$ $\Rightarrow$ Elastic potential energy per unit volume $=\frac{1}{2}\times$ Young's modulus $\times (\text{ Strain }{)}^2$ $\begin{array}{rl}& =\frac{1}{2}\times 2\times 10^{11}\times {\left[\frac{1}{1000}\right]}^2\\ & =\frac{1}{2}\times 2\times 10^{11}\times 10^{-6}=10^5\left(\mathrm{J}/{\mathrm{m}}^3\right)\end{array}$