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

Answer

A

Explanation

Energy stored per unit volume `=(1)/(2) xx` stress `xx` strain `= (1)/(2) xx` stress `xx ("stress")/(Y) = (1)/(2) (S^(2))/(Y)`