Two wire of same radius and lengh the are subjected to the same load. One wire is of steel and the other is of copper. If the Young's modulus of steel is twice that of copper, the ratio the energy stored per unit volume in steel to that of copper wire is

Options

A. `2:1`
B. `1:2`
C. `1:4`
D. `4:1`

Answer

B

Explanation

`u= (1)/(2) (("Stress")^(2))/(Y)`
As stress is same in both the cases, hence, `u prop (1)/(Y)`
So `(u_("steel"))/(u_("copper")) = (Y_(Cu))/(Y_(S)) = (1)/(2)`