Two wires of same diameter of the same material having the length `l` and `2l` If the force `F` is applied on each, the ratio of the work done in two wires will be

Options

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

Answer

A

Explanation

(a) Work done, `W=(1)/(2)F l`
`therefore` Work done `W prop l` ( F is constant)
`therefore (W_(1))/(W_(2))=(l_(1))/(l_(2))=(l)/(2l)=(1)/(2)`