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Q.

A wire of resistance ‘R’ ohm is drawn until its reduces to $\frac{1}{n}$ th of its original area then resistance of the wire is

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a

$\frac{R}{n}$

b

n²R

c

$\frac{R}{n^{2}}$

d

nR

answer is B.

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Detailed Solution

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$\begin{array}{l} Rα \frac{1}{A^{2}} ∴ \frac{R_{1}}{R_{2}} = {(\frac{A_{2}}{A_{1}})}^{2} = {(\frac{A_{1}}{n \times A_{1}})}^{2} = \frac{1}{n^{2}} \\ R_{2} = n^{2} R_{1} \end{array}$

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A wire of resistance ‘R’ ohm is drawn until its reduces to 1nth of its original area then resistance of the wire is