CUET · PHYSICS · PYQ PAPER 2025
Two wires A and B of the same material and same mass have radii 2r and r, respectively. If the resistance of wire A is \( 4 \, \Omega \), then resistance of B will be
- A 64 \( \Omega \)
- B 4 \( \Omega \)
- C 32 \( \Omega \)
- D 16 \( \Omega \)
Answer & Solution
Correct Answer
(A) 64 \( \Omega \)
Step-by-step Solution
Detailed explanation
\( R = \frac{\rho m}{d \pi^2 r_{wire}^4} \) \( \frac{R_B}{R_A} = \left( \frac{r_A}{r_B} \right)^4 \) \( \frac{R_B}{4 \, \Omega} = \left( \frac{2r}{r} \right)^4 \) \( R_B = 4 \, \Omega \times (2)^4 = 4 \, \Omega \times 16 = 64 \, \Omega \)
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