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Question

Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A and the second wire has cross-sectional area 3A. If length of the first wire is increased by Δl on applying a force F, then how much force is needed to stretch the second wire by the same amount?

A
9F
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B
6F
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C
4F
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D
F
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Solution

The correct option is A 9F
Y=FlAΔl F = YAΔll=YA2ΔlV( V =Al)F1F2 =(A1A2)2 =(A3A)2 =19F2 = 9F1 = 9F

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