An elastic material with Young's modulus Y is subjected to a tensile stress S, elastic energy stroed per unit volume of the material is

Options

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

Answer

C

Explanation

`U= (1)/(2) xx` Stress `xx` Strain `xx` Volume
`(U)/(V)= (1)/(2)` (Stress) `xx ("Stress")/(Y)= (1)/(2) xx (("Stress")^(2))/(Y)= (1)/(2) (S^(2))/(Y)`