The elastic energy per unit volume is terms of longitudinal strain `sigma` and Young's modulus `Y` is

Options

A. `Ysigma^(2)//2`
B. `Ysigma//2`
C. `2Ysigma^(2)//2`
D. `Y^(2)sigma//2`

Answer

A

Explanation

`(1)/(2)"stress"xx"strain"=(1)/(2)Y"strain"^(2)=(Ysigma^(2))/(2)`.