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NEET 2022

NEET 2022 Physics question on Electromagnetic Induction and AC

A series LCR circuit with inductance 10 H, capacitance 10 μF10\,\mu\text{F}, resistance 50 Ω50\,\Omega is connected to an ac source of voltage, V=200sin⁡(100t)V = 200\sin(100t) volt. If the resonant frequency of the LCR circuit is ν0\nu_0 and the frequency of the ac source is ν\nu, then
  1. A.
    ν0=ν=50 Hz\nu_0 = \nu = 50\,\text{Hz}
  2. B.
    ν0=ν=50π Hz\nu_0 = \nu = \dfrac{50}{\pi}\,\text{Hz}
  3. C.
    ν0=50π Hz, ν=50 Hz\nu_0 = \dfrac{50}{\pi}\,\text{Hz},\ \nu = 50\,\text{Hz}
  4. D.
    ν=100 Hz;ν0=100π Hz\nu = 100\,\text{Hz};\quad \nu_0 = \dfrac{100}{\pi}\,\text{Hz}
Show answer

Correct option: B

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