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The length of a given cylindrical wire i...

The length of a given cylindrical wire is increased by `100%`. Due to the consequent decrease in diameter the change in the resistance of the wire will be

A

`200 %`

B

`100 %`

C

`50%`

D

`300%`

Text Solution

Verified by Experts

The correct Answer is:
D
`R=rho l/A=rho(l^(2))/Vimplies R prop l^(2)`
`as l to2l`
`impliesR to 4R`
`implies %` change in `R=300 %`
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