A) \[\frac{{{S}^{2}}}{2Y}\]
B) \[2{{S}^{2}}Y\]
C) \[\frac{S}{2Y}\]
D) \[\frac{2Y}{{{S}^{2}}}\]
Correct Answer: A
Solution :
[a] Energy stored per unit volume, \[E=\frac{1}{2}\times stress\times strain\] We know that, \[\text{Y=}\frac{\text{stress}}{\text{strain}}\]or\[strain=\frac{\text{stress}}{Y}\] \[E=\frac{1}{2}\times \text{stress}\times \frac{\text{stress}}{Y}=\frac{1}{2}.\frac{{{S}^{2}}}{Y}\]
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