Q.

The resistance of a wire is ‘R’ ohm. If it is melted and stretched to 'n' times its original length, its new resistance will be

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a

Rn

b

n2R

c

Rn2

d

nR

answer is B.

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Detailed Solution

The resistance of a wire of length l and area A and resistivity ρ is given asR=ρlA Given, l'=nlAs the volume of the wire remains constant ∴A'l'=AlA'=All'=Alnl   or   A'=An∴R'=ρl'A'=ρnlAn=n2ρlA=n2R
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