CUET · PHYSICS · PYQ PAPER 2025
Resonant frequency of a LCR series circuit is 16 kHz. If the capacitance is increased to 16 times, then the new resonant frequency will become
- A 16 kHz
- B 32 kHz
- C 8 kHz
- D 4 kHz
Answer & Solution
Correct Answer
(D) 4 kHz
Step-by-step Solution
Detailed explanation
\( f \propto \frac{1}{\sqrt{C}} \) \( f_2 = f_1 \sqrt{\frac{C_1}{C_2}} \) \( f_2 = 16 \text{ kHz} \sqrt{\frac{C_1}{16C_1}} \) \( f_2 = 16 \text{ kHz} \times \frac{1}{4} \) \( f_2 = 4 \text{ kHz} \)
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