A wire of length `L_(0)` is supplied heat to raise its temperature by T. If `gamma` is the coefficient of volume expansion of the wire and Y is Young's modulus of the wire then the energy density stored in the wire is

Options

A. `(1)/(2) gamma^(2) T^(2) Y`
B. `(1)/(3) gamma^(2) T^(2) Y^(3)`
C. `(1)/( 18) ( gamma^(2) T^(2) )/( Y)`
D. `( 1)/( 18) gamma^(2) T^(2) Y`

Answer

D