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A wire of length L and radius r fixed at...

A wire of length L and radius r fixed at one end and a force Fapplied to the other end produces an extension l. The extension produced in another wire or the same material of length 2L and radius 2r by a force 2F is .......

A

`l/2`

B

l

C

2l

D

4l

Text Solution

Verified by Experts

The correct Answer is:
B
`Y= (FL )/(pi r ^(2) l ) and Y. = ((2F) (2L ))/( pi (2r) ^(2) l.) `
`therefore Y= Y.`
`therefore ( FL )/( pi r ^(2) l ) = ( 4 FL )/( 4pi r ^(2) l .)`
`therefore l . =l`
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