Properties of Solids and Liquids: JEE Main 2025 Physics question

A steel wire of length 2 m and Young's modulus $2.0 \times 10^{11}$ N m$^{-2}$ is stretched by a force. If Poisson ratio and transverse strain for the wire are 0.2 and $10^{-3}$ respectively, then the elastic potential energy density of the wire is ______ $\times 10^5$ (in SI units).