A solid cylindrical copper rod of length and radius is drawn into a thinner wire of…

PHYSICS · Single correct · CBSE · Physics · Electricity · Electricity

Problem

A solid cylindrical copper rod of length 50 cm50\,\text{cm} and radius 3 mm3\,\text{mm} is drawn into a thinner wire of radius 2 mm2\,\text{mm} with no change in volume. What is the ratio of the resistance of the new wire to that of the original rod? (a) ≈3.4 times\approx 3.4\text{ times} (b) ≈5 times\approx 5\text{ times} (c) ≈2.25 times\approx 2.25\text{ times} (d) 15 times\dfrac{1}{5}\text{ times}

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