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Q.

A uniform wire of length l and radius r has a resistance of $100 Ω$ . It is recast into a wire of radius $\frac{r}{2}$ . The resistance of new wire will be

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a

$200 Ω$

b

$100 Ω$

c

$400 Ω$

d

$1600 Ω$

answer is A.

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Detailed Solution

$R \propto \frac{1}{r^{4}}$ when volume is constant

If radius becomes half resistance increases to 16 times.

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