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)`
C. `(S^(2))/(2Y)`
D. `(S)/(2Y)`

Answer

c

Explanation

Strain `= ("stress")/(Y) = (S)/(Y)`
Now, energy stored per unit volume
`= (1)/(2) xx "stress" xx "strain" = (1)/(2) xx S xx (S)/(Y) = (S^(2))/(2Y)`