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Q.

A cylindrical metallic wire is stretched to increase its length if the resistance of the wire is increased by 4% then the percentage increase in its length is 

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a

2%

b

4%

c

1%

d

8%      

answer is D.

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Detailed Solution

Area x length = constant

⇒dAA+dll=0

dAA=−dll

R=ρLA

⇒dRR×100=[dρρ+dlL−dAA]×100

=[0+dll+dll]×100

=2dll

4=2dll⇒dll=2%

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