If length of a wire increases by $0.1 %$ due to stretching, the percentage increase in its resistance will be (Assume cross sectional area as constant)

0.2 %

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2 %

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1 %

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0.1 %

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Solution

The correct option is D $0.1 %$
$R = ρ \frac{l}{A}$
$R$ depends only on length as cross sectional area remains constant. Hence change in resistance is 0.1%.

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