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CUET · PHYSICS · PYQ PAPER 2025

The self-inductance (L) of a long solenoid on doubling its number of turns and length, keeping other factors constant, will become

  1. A L/2
  2. B L
  3. C 2L
  4. D 4L
Verified Solution

Answer & Solution

Correct Answer

(C) 2L

Step-by-step Solution

Detailed explanation

\(L = \frac{\mu_0 N^2 A}{l}\) \(L' = \frac{\mu_0 (2N)^2 A}{2l}\) \(L' = \frac{\mu_0 4N^2 A}{2l}\) \(L' = 2 \frac{\mu_0 N^2 A}{l}\) \(L' = 2L\)
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