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JEE Main 2022 (25 Jun, Shift 2) · Ohm's Law, Resistivity & Temperature

Ohm's Law, Resistivity & Temperature question from JEE Main 2022 (25 Jun, Shift 2)

Q27JEE Main 2022 · 25 JUN · SHIFT 2Easy

Ohm's Law, Resistivity & Temperature

The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be ____________ %.

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

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Answer: 300

$l' = 2l$ ; at constant volume $R \propto l^2$ , so $R' = 4R$ .
Percentage increase $= \dfrac{4R - R}{R} \times 100$
Answer: $300\%$ .

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