CUET · PHYSICS · PYQ PAPER 2023
A series LCR circuit is connected to a 220 V variable frequency (a.c) supply. If L = 20 mH, \( C = 800/\pi^2 \, \mu \text{F} \) and R = 110 \( \Omega \). The frequency of the source, for which the average power absorbed by the circuit is maximum will be:
- A 125 Hz
- B 250 Hz
- C 350 Hz
- D 500 Hz
Answer & Solution
Correct Answer
(A) 125 Hz
Step-by-step Solution
Detailed explanation
\( f_0 = \frac{1}{2\pi\sqrt{LC}} \) \( f_0 = \frac{1}{2\pi\sqrt{(20 \times 10^{-3} \text{ H}) \times (\frac{800}{\pi^2} \times 10^{-6} \text{ F})}} \) \( f_0 = \frac{1}{2\pi\sqrt{\frac{16000}{\pi^2} \times 10^{-9}}} \)…
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