Verified Solution • 2025–26 Session moderate

QNEET-2022-Ph-430: NEET 2022 Physics - Class 12 NEET-2022-Ph-430 Solution: A series LCR circuit with inductance 10 H capacitance \(10 F\)…

A series LCR circuit with inductance 10 H capacitance 10μF10\mu F resistance 50Ω50\Omega is connected to an ac source of voltage V = 200sin(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 ν0=ν=50 Hz\nu_0 = \nu = 50\ \text{Hz} ν0=ν=50π Hz\nu_0 = \nu = \frac{50}{\pi}\ \text{Hz} ν0=50π Hzν=50 Hz\nu_0 = \frac{50}{\pi}\ \text{Hz} \nu = 50\ \text{Hz} ν=100 Hzν0=100π Hz\nu = 100\ \text{Hz} \nu_0 = \frac{100}{\pi}\ \text{Hz}

Multiple Choice Options

  • A v0=v=50{v_0} = v = 50 v 0 _ = v = 50 Hz
  • B v0=v=50π{v_0} = v = {{50} \over \pi } v 0 _ = v = � 50 _ Hz
  • C v0=50π{v_0} = {{50} \over \pi } v 0 _ = � 50 _ Hz, v=50v = 50 v = 50 Hz
  • D v=100v = 100 v = 100 Hz, v0=100π{v_0} = {{100} \over \pi } v 0 _ = � 100 _ Hz

Step-by-Step Verified Solution

_ L = 1 _ C _ = 1 L C = 1 10 _ 10 _ 10 _ 6 _ = 100 _ = 2 � f _ f = _ 2 � v 0 = f 0 = 100 2 � = 50 � Hz, _ = 100 v = f = 100 2 � = 50 �

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