If in a wier of Young's modulus Y, longitudinal strain X is produced, then the value of potential energy stored in its unit volume will be

Options

A. `0.5 YX^(2)`
B. `0.5 Y^(2) X`
C. `2 YX^(2)`
D. `YX^(2)`

Answer

a

Explanation

Given young's modulus = Y. longitudinal strain = X the potential energy stored per unit volume is given by
`= (1)/(2) xx` stress `xx` strain
`= (1)/(2) xx Y xx X xx X = (1)/(2) X^(2) Y`