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Two wires of same length and same materi...

Two wires of same length and same material but of radii r and 2r are stretched by forces F and f respectively to produce equal elongation . The ratio F to f is

A

`1:1`

B

`1:2`

C

`1:3`

D

`1:4`

Text Solution

Verified by Experts

The correct Answer is:
D
`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`
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