$\begin{array}{1 1}(A)\;.54J\\(B)\;.32J\\(C)\;2.7J\\(D)\;.27J\end{array} $

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Initial energy density =$\large\frac{1}{2}\times \frac{(stress)^2}{Y}$

$\Rightarrow \large\frac{1}{2}\times (\frac{50}{2\times 10^{-6}})^2\times \frac{1}{2\times 10^{11}}$

$\Rightarrow \large\frac{25000}{16}$

Final energy density =$\large\frac{1}{2}\times (\frac{300}{2\times 10^{-6}})^2\times \frac{1}{2\times 10^{11}}$

$\Rightarrow \large\frac{900000}{16}$

Energy density change =$\large\frac{900,000}{16}-\frac{25000}{16}$

$\Rightarrow \large\frac{875000}{16}$

Energy change =$\large\frac{875000}{16}$$\times$volume

$\Rightarrow \large\frac{875000}{16}$$\times 5\times 2\times 10^{-6}$

$\Rightarrow .54J$

Hence (A) is the correct answer.

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