If $x$ longitudinal strain is produced in a wire of Young's modulus $y,$ then energy stored in the material of the wire per unit volume is
AIIMS 2001, Medium
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(d) Energy stored per unit volume
$ = \frac{1}{2} \times {\rm{Stress}} \times {\rm{Strain}}$
$ = \frac{1}{2} \times {\rm{Young's\, modulus }} \times {{\rm{(Strain)}}^{\rm{2}}} = \frac{1}{2} \times Y \times {x^2}$
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