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Question

Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount?

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

The correct option is D 9F

Stress=FA;Strain=Δxl

Y= Stress Strain


Y=FlAΔx

F=YAΔxl×A×A

F=YA2Δxv

FA2

F9A2

FF=9A2A2

So, F=9F

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