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A uniform wire of resistance R is unifo...

A uniform wire of resistance R is uniformly compressed along its length, until its radius becomes n times the original radius. Now resistance of the wire becomes

A

`R/n^(4)`

B

`R/n^(2)`

C

`R/n`

D

nR

Text Solution

Verified by Experts

The correct Answer is:
A
`R prop l/A rArr R prop (lA)/A^(2) prop ("Volume")/A^(2)`
`R_(1)/R_(2) = (r_(2)/r_(1))^(4) rArr R_(1)/R_(2) =[(nr)/r]^(-4) rArr R_(2) = R_(1)/4 = R/n^(4) (R_(1) =R)`
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