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  4. If a copper wire is stretched to increase its length by 20 %. The percentage increase in resistance of the wire is %.

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Q. If a copper wire is stretched to increase its length by $20 \%$. The percentage increase in resistance of the wire is _______$\%$.

JEE MainJEE Main 2023Current Electricity

Solution:

As volume is constant,
So resistance $\propto$ (length $)^2$
$\Rightarrow \% \text { change in resistance }=20+20+\frac{400}{100}=44 \%$