Two wires of the same length and same material but radii in the ratio of `1:2` are stretched by unequal forces to produce equal elongation. The ratio of the two forces is

Options

A. `1:1`
B. `1:2`
C. `1:3`
D. `1:4`

Answer

D

Explanation

`Y=(Fl)/(a/_\l)`
In the given problem `Y, l` and `/_\l` are constant.
`,Fpropa`
or `Fproppir^(2)` or `Fpropr^(2)` or `(F_(1))/(F_(2))=(r_(1)^(2))/(r_(2)^(2))=1/4`