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JEE Main 2003 (AIEEE) · Ohm's Law, Resistivity & Temperature

Ohm's Law, Resistivity & Temperature question from JEE Main 2003 (AIEEE)

Q71JEE Main 2003 · AIEEEEasy

Ohm's Law, Resistivity & Temperature

The length of a given cylindrical wire is increased by $100\%$ . Due to the consequent decrease in diameter the change in the resistance of the wire will be

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Answer: (d)

Length increased by $100\%$ : $l' = 2l$ .
At constant volume $R \propto l^2$ , so $R' = 4R$ .
Change $= \dfrac{4R - R}{R} \times 100 = 300\%$
So the answer is (d) $300\%$ .

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