If S is stress and Y is Young's modulus of material of a wire, the energy stored per unit volume of the wire is :

Options

A. `2.5^(2)Y`
B. `(S^(2))/(2Y)`
C. `(2Y)/(S^(2))`
D. `S/(2Y)`

Answer

B

Explanation

We know that energy density of the wire
`=1/2` Stress `xx` Strain
`=1/2` Stress `xx("Stress")/Y=(S^(2))/(2Y)`
So the correct choice is (b).