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Q.

The resistance of a wire of uniform diameter D and length L is R. The resistance of another wire of the same material but diameter 2D and length 4L will be :

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a

2R

b

R

c

R/2

d

R/4

answer is B.

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Detailed Solution

$R = \frac{ρl}{A} \Rightarrow R \propto \frac{L}{D^{2}}$

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The resistance of a wire of uniform diameter D and length L is R. The resistance of another wire of the same material but diameter 2D and length 4L will be :