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If one end of a wire is fixed with a rig...

If one end of a wire is fixed with a rigid support and the other end is streched by a force of `10N`, then the increae in length is `0.5mm`. The ratio of the energy of the wire and the work done in displacing it through `0.5mm` by the weight is

A

`(1)/(3)`

B

`(1)/(4)`

C

`(1)/(2)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C

Work done in stretching a wire
`W=(1)/(Fl)=(1)/(2)xx10xx0.5xx10^-3=2.5xx10^-3J`
Work done to displace it through `1.5mm`
`W=Fxxl=5xx10^-3J`
The ratio of above two work `=1:2`
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