CUET · PHYSICS · PYQ PAPER 2025
Two long coaxial solenoids of the same length L have inner and outer coils with diameters \( D_1 \) and \( D_2 \) and number of turns \( N_1 \) and \( N_2 \), respectively. What will be the ratio of the self-inductance of the inner solenoid to the mutual inductance of both the solenoids?
- A \( N_1 N_2^{-1} \)
- B \( N_2 N_1^{-1} \)
- C \( \frac{N_2 D_2^2}{N_1 D_1^2} \)
- D \( \frac{N_2 D_2}{N_1 D_1} \)
Answer & Solution
Correct Answer
(A) \( N_1 N_2^{-1} \)
Step-by-step Solution
Detailed explanation
\( \frac{L_1}{M} = \frac{\mu_0 N_1^2 A_1/L}{\mu_0 N_1 N_2 A_1/L} = \frac{N_1}{N_2} = N_1 N_2^{-1} \)
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