question_answer

If S is stress and Y is Young's modulus of material of a wire, the energy stored in the wire per unit volume is [AIEEE 2005]

A)  \[2{{S}^{2}}Y\]         

B)       \[\frac{{{S}^{2}}}{2Y}\]   

C)  \[\frac{2Y}{{{S}^{2}}}\]       

D)       \[\frac{S}{2Y}\]

Correct Answer: B

Solution :

[b] Energy stored in wire

and Young's modulus

where, strain