Two wires of same material and length are stretched by the same force. If the ratio of radii of the two wires in `n:1` then the ratio of their elongation is

Options

A. `n^(2):1`
B. `1:n^(2)`
C. `1:n`
D. `n:1`

Answer

B

Explanation

`(r_(1))/(r_(2)) =(n)/(1) therefore (l_(1))/(l_(2))=?`
`(l_(1))/(l_(2))=((r_(2))/(r_(1)))^(2)=(1)/(n^(2))`