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NEET 2022 (Phase 1) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from NEET 2022 (Phase 1)

Q77NEET 2022 · PHASE 1Medium

Resonance, Bandwidth & Q Factor

A series LCR circuit with inductance 10 H, capacitance 10 $\mu$ F, resistance 50 $\Omega$ is connected to an ac source of voltage, V = 200sin(100t) volt. If the resonant frequency of the LCR circuit is v0 and the frequency of the ac source is v, then

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Answer: (b)

Source: $\omega = 100\text{ rad/s}$ , so $v = \frac{100}{2\pi} = \frac{50}{\pi}\text{ Hz}$ .
$\omega_0 = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{10\times10\times10^{-6}}} = 100\text{ rad/s}$ , so $v_0 = \frac{50}{\pi}\text{ Hz}$ .
So the answer is (b) $v_0 = v = \frac{50}{\pi}$ Hz.

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