A steel wire of length 2 m and Young's modulus 2.0 × 10^11 N m^-2 is stretched by a force. If Poisson ratio and transverse strain for the wire are…

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