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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 the length of the first wire is increased by X on applying a force F, how much force is needed to stretch the second wire by the same amount?

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a

9 F

b

6 F

c

4 F

d

F

answer is A.

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Detailed Solution

Y=FlA∆l ∵V=Al, so l=VA So, F=YA∆ll=YA2∆lV∞A2 F1F2=A1A22⇒FF2=A3A2=19⇒F2=9F

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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 the length of the first wire is increased by X on applying a force F, how much force is needed to stretch the second wire by the same amount?