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CUET · PHYSICS · PYQ PAPER 2023

A wire is stretched to increase its length by 4 times. The resistance of the wire will :

  1. A decrease by 4 times
  2. B increase by 4 times
  3. C increase by 8 times
  4. D increase by 16 times
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Answer & Solution

Correct Answer

(D) increase by 16 times

Step-by-step Solution

Detailed explanation

\( R = \rho \frac{L}{A} \) \( AL = A'L' \implies A' = A \frac{L}{L'} = A \frac{L}{4L} = \frac{A}{4} \) \( R' = \rho \frac{L'}{A'} = \rho \frac{4L}{A/4} = 16 \rho \frac{L}{A} = 16R \)
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