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1kg piece of copper is drawn into a wire...

`1kg` piece of copper is drawn into a wire `1mm` thick and another piece into a wire `2mm` thick. Compare the resistance of these wires.

A

`2:1`

B

`4:1`

C

`8:1`

D

`16:1`

Text Solution

Verified by Experts

The correct Answer is:
D
`(R_(1))/(R_(2))=(l_(1))/(l_(2))xx(D_(2)^(2))/(D_(1)^(2))`
`1=(pixx(10^(-3))^(2))/(4)l_(1)d=(pixx(2xx10^(-3))^(2))/(4)l_(2)d`
`l_(1)=4l_(2)`, `(R_(1))/(R_(2))=4xx2^(2)=16`
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