A) \[\frac{1}{2}\] (Young modulus) \[{{(Strain)}^{2}}\]
B) \[\frac{1}{2}\] (Stress) \[{{(Strain)}^{2}}\]
C) \[\frac{1}{2}\frac{Stress}{Strain}\]
D) \[\frac{1}{2}\] (Young modulus) (Stress)
Correct Answer: A
Solution :
The energy stored in per unit volume of wire \[({{U}_{V}})\] \[=\frac{1}{2}\frac{Fl}{volume}=\frac{1}{2}\times stress\times strain\] \[=\frac{1}{2}\times Y\times {{(strain)}^{2}}=\frac{1}{2Y}{{(stress)}^{2}}\]
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