There are two wires of same material. Their radii and lengths are both in the ratio `1:2` If the extensions produced are equal, the ratio of the loads is

Options

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

Answer

A

Explanation

`(F_(1))/(F_(2))=(y r_(1)^(2)l)/(L_(1))xx(L_(2))/(y r_(2)^(2)l)=(1)/(4) xx (2)/(1) = 1:2`.