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JEE Main 2011

Exam: JEE Main
Year: 2011
Subject: Physics
Chapter: Mathematics in Physics

JEE Main 2011 · Physics · Mathematics in Physics

If a wire is stretched to make it 0.1 \% longer, its resistance...

If a wire is stretched to make it

0.1 \%

longer, its resistance will :

Options

Aincrease by $0.2 \%$
Bdecrease by $0.2 \%$
Cdecrease by $0.05 \%$
Dincreases by $0.05 \%$

Correct answer

A. increase by $0.2 \%$

Step-by-step solution

\mathrm{R} \propto \ell^2

(for a given volume) \Rightarrow

\frac{\Delta \mathrm{R}}{\mathrm{R}}

\%=

\frac{2 \Delta \ell}{\ell}

\% Thus when wire is stretched by

0.1 \%

resistance increases by

0.2 \%

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