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Physics · PYQ NEET UG 2022
हिन्दीA series LCR circuit with inductance \( 10\text{ H} \), capacitance \( 10\text{ }\mu\text{F} \), resistance \( 50\text{ }\Omega \) is connected to an ac source of voltage, \( V = 200\sin(100t)\text{ volt} \). If the resonant frequency of the LCR circuit is \( u_o \) and the frequency of the ac source is \( \nu \), then:
Correct answer · Option 4
\( \nu_o = \nu = \frac{50}{\pi}\text{ Hz} \)
Explanation
Source frequency \( \nu = \frac{\omega}{2\pi} = \frac{100}{2\pi} = \frac{50}{\pi}\text{ Hz} \). Resonant frequency \( \nu_o = \frac{1}{2\pi\sqrt{LC}} = \frac{1}{2\pi\sqrt{10 \times 10 \times 10^{-6}}} = \frac{50}{\pi}\text{ Hz} \). Thus, \( \nu_o = \nu = \frac{50}{\pi}\text{ Hz} \).
