Two wires of same material and length but diameters in the ratio `1:2` are streached by the same force, the elastic potential energy per unit volume for the two wires then strechted by the same force will be in the ratio

Options

A. `16:1`
B. `1:1`
C. `1:4`
D. `4:1`

Answer

A

Explanation

`(E)/(V) = (1)/(2) (("stres")^(2))/(Y) = (1)/(2) (F^(2))/(A^(2) Y^(2)), (E)/(V) alpha (1)/(r^(4))`