CUET · PHYSICS · PYQ PAPER 2025
An LCR series circuit with L = 100 mH, C = 100 \( \mu \)F, R = 10 \( \Omega \) is connected to an AC source of emf 220 V. The resonant frequency of the circuit will be nearly
- A 50 Hz
- B 50 rad \( s^{-1} \)
- C 60 Hz
- D 50\( \pi \) Hz
Answer & Solution
Correct Answer
(A) 50 Hz
Step-by-step Solution
Detailed explanation
\( f = \frac{1}{2\pi\sqrt{LC}} \) \( f = \frac{1}{2\pi\sqrt{(100 \times 10^{-3} \text{ H})(100 \times 10^{-6} \text{ F})}} \) \( f = \frac{1}{2\pi\sqrt{10^{-1} \times 10^{-4}}} = \frac{1}{2\pi\sqrt{10^{-5}}} \approx 50.33 \text{ Hz} \)
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