The elastic energy stored per units volume in a streched wire is

Options

A. `(1)/(2)(("Stress"))/(Y)`
B. `(1)/(2)(("Stress")^(2))/(Y)`
C. `(1)/(2)(("Stress")^(2))/(Y^(2))`
D. `(1)/(2)(("Stress"))/(Y^(2))`

Answer

B

Explanation

The elastic energy stored per unit volume in a stretched wire is `u = (1)/(2) xx "stress"xx "strain" = (("stress")^(2))/(2Y) " "(therefore Y = ("Stress")/("Strain"))`