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Combination of Resistors question from NEET 2024

Q21NEET 2024Medium

Combination of Resistors

A uniform metal wire of length $l$ has $10\ \Omega$ resistance. Now this wire is stretched to a length $2l$ and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is

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Answer: (a)

Stretching to $2l$ (volume constant): $R \propto l^2$ , so $R' = 4 \times 10 = 40\ \Omega$ .
Across a diameter: two halves of $20\ \Omega$ in parallel.
$R_{eq} = \dfrac{20}{2} = 10\ \Omega$
So the answer is (a) $10\ \Omega$ .

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