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

Answer

D