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JEE Main 2024 (6 Apr, Shift 1) · Ohm's Law, Resistivity & Temperature

Ohm's Law, Resistivity & Temperature question from JEE Main 2024 (6 Apr, Shift 1)

Q9JEE Main 2024 · 6 APR · SHIFT 1Medium

Ohm's Law, Resistivity & Temperature

A wire of resistance $R$ and radius $r$ is stretched till its radius became $r/2$ . If new resistance of the stretched wire is $xR$ , then value of $x$ is ________.

Numerical answer type. Work it out, then open the answer.

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Answer: 16

Volume constant, so $R \propto 1/r^4$ .
$R' = (2)^4R = 16R$ , so $x = 16$ .

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