A uniform wire of resistance $R$ is uniformly compressed along its length, until its radius becomes $n$ times the original radius. Now resistance of the wire becomes
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(a) $\frac{{{R_1}}}{{{R_2}}} = {\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^4} \Rightarrow \frac{R}{{{R_2}}} = {\left( {\frac{{nr}}{r}} \right)^4} \Rightarrow {R_2} = \frac{R}{{{n^4}}}$.
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