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Question

Question: If a copper wire is stretched to make it 0.1% longer, then the percentage change in resistance is ap...

If a copper wire is stretched to make it 0.1% longer, then the percentage change in resistance is approximately –

A

0.1%

B

0.2%

C

0.4%

D

0.8%

Answer

0.2%

Explanation

Solution

R =ρlA\frac{\rho\mathcal{l}}{A} , m = A l d

\ R =ρl(ld)m\frac{\rho\mathcal{l}(\mathcal{l}d)}{m} \ R µ l2

\ ΔRR\frac{\Delta R}{R} × 100 = 2 Δll\frac{\Delta\mathcal{l}}{\mathcal{l}}× 100 = 2 × 0.1 = 0.2%