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Question

A copper wire is stretched to make it 0.5% longer. The percentage change in its electrical resistance if its volume remains unchanged is:

A
2.5%
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B
1.0%
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C
0.5%
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D
2.0%
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Solution

The correct option is B 1.0%
Resistance, R=ρlA

R=ρlA×ll=ρl2V [Volume (V)=Al]

Since resistivity and volume remains constant,
therefore % change in resistance

ΔRR=2Δll=2×(0.5)=1%

Hence, option (C) is correct.

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