A) \[Y\times e\]
B) \[\frac{1}{2}(Y\times \varepsilon )\]
C) \[Y\times {{\varepsilon }^{2}}\]
D) \[\frac{1}{2}(Y\times {{\varepsilon }^{2}})\]
Correct Answer: D
Solution :
Energy stored per unit volume \[=\frac{1}{2}(stress\times strain).\]But stress = Young's modulus \[\times \]strain. Therefore energy stored per unit volume \[=\frac{1}{2}Y{{\varepsilon }^{2}},\] which is choice [d]. Hence, the correction option is [d].
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