A) \[{{10}^{6}}\]
B) \[{{10}^{8}}\]
C) \[2\times {{10}^{6}}\]
D) \[2\times {{10}^{8}}\]
E) \[0.5\times {{10}^{6}}\]
Correct Answer: A
Solution :
Per unit volume energy stored \[=\frac{1}{2}\times Y\times {{(strain)}^{2}}\] \[=\frac{1}{2}\times Y\times {{\left( \frac{l}{L} \right)}^{2}}\] Given \[l=L\times 1%\] Or \[l=\frac{L}{100}\] Stored energy \[Y=\frac{1}{2}\times 2\times {{10}^{10}}\times {{\left( \frac{L}{100L} \right)}^{2}}\] \[={{10}^{6}}J{{m}^{-3}}\]
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