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

Options

A. `1/2 S/y`
B. `(S^(2))/(Y)`
C. `1/2(S)/(Y^(2))`
D. `1/2(S^(2))/(Y^(2))`

Answer

B

Explanation

Here `u=1/2` stress `xx` strain
also Y = stress/strain
Hence `u=1/2("stress")^(2)//Y`
`u=1/2 (S^(2))/(Y)`