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A material 'B' has twice the specific re...

A material 'B' has twice the specific resistance of 'A'. A circular wire made of 'B' has twice the diameter of a wire made of 'A'. Then for the two wires to have the same resistance, the ratio `l_(B)//l_(A)` of their respective lengths must be

A

1

B

`(1)/(2)`

C

`(1)/(4)`

D

`(2)/(1)`

Text Solution

Verified by Experts

The correct Answer is:
D

`R=(rhol)/(A)impliesl=(RA)/(rho)implieslprop(r^(2))/(rho)`
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