CUET · PHYSICS · PYQ PAPER 2025
A transmitting station transmits radio waves of wavelength 300 m. The inductance of the coil required with a capacitor of capacity 1.0 \( \mu F \) in a resonant circuit will be
- A \( 1.27 \times 10^{-9} \, H \)
- B \( 2.53 \times 10^{-8} \, H \)
- C \( 2.73 \times 10^{-6} \, H \)
- D \( 2.53 \times 10^{-7} \, H \)
Answer & Solution
Correct Answer
(B) \( 2.53 \times 10^{-8} \, H \)
Step-by-step Solution
Detailed explanation
\( f = \frac{c}{\lambda} = \frac{1}{2\pi\sqrt{LC}} \) \( L = \frac{\lambda^2}{4\pi^2 c^2 C} \) \( L = \frac{(300 \, m)^2}{4\pi^2 (3 \times 10^8 \, m/s)^2 (1.0 \times 10^{-6} \, F)} \) \( L \approx 2.53 \times 10^{-8} \, H \)
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