JEE MAIN - Physics (2022 - 26th June Morning Shift - No. 12)

An aluminium wire is stretched to make its length, 0.4% larger. The percentage change in resistance is :
0.4%
0.2%
0.8%
0.6%

Explanation

$$R = {{\rho l} \over A}$$

Also volume will remain constant

i.e., Al = constant $$ \Rightarrow A \propto {1 \over l}$$

$$\therefore$$ $$R \propto {l^2}$$

$${{\Delta R} \over R} = 2{{\Delta l} \over l} = 0.8$$

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