If a wire is stretched to make it 0.1\% longer, its resistance will: - Physics MCQ FIITJEE AIEEE 2011 (Set Q) 2026 | ExamTest.live | ExamTest.live

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If a wire is stretched to make it 0.1% longer, its resistance will:

A $increase by 0.2%$
B $decrease by 0.2%$
C $decrease by 0.05%$
D $increase by 0.05%$

Solution & Step-by-step Explanation

Resistance R = ρ \frac{l}{A} .When a wire is stretched, volume V = A l is constant. Thus A = \frac{V}{l} . R = ρ \frac{l}{V / l} = \frac{ρ l ^{2}}{V} Differentiating: \frac{d R}{R} = 2 \frac{d l}{l} .Given \frac{d l}{l} = 0.1% : \frac{d R}{R} = 2 \times 0.1% = 0.2% The resistance increases by 0.2% .

Practice this question

Try it yourself before checking the explanation above.

If a wire is stretched to make it 0.1% longer, its resistance will:

A

increase by 0.2%

B

decrease by 0.2%

C

decrease by 0.05%

D

increase by 0.05%

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