In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1 μF and resistance R is 100 Ω. The frequency at which resonance occurs is :

1. 1.59 kHz

2. 15.9 rad/s

3. 15.9 kHz

4. 1.59 rad/s

Doubtly Asked 30 Oct 2026 NEET UG 2023 Practice test neet Save WhatsApp Report

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Answer: 1. 1.59 kHz

Resonance occurs when \(X_L=X_C\): \(f_0=\dfrac{1}{2\pi\sqrt{LC}}\). Resistance does not affect it.

\(LC=10\times10^{-3}\times10^{-6}=10^{-8}\), so \(\sqrt{LC}=10^{-4}\) s.

\(f_0=\dfrac{1}{2\pi\times10^{-4}}\approx1.59\times10^{3}\) Hz = 1.59 kHz. Options in rad/s are wrong units for frequency.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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