NEET · Physics · STD 12 -7. Alternating current
A series LCR circuit with inductance \(10\,H\), capacitance \(10\,\mu F\), resistance \(50\,\Omega\) is connected to an ac source of voltage, \(V=200 \sin (100 t)\) volt. If the resonant frequency of the LCR circuit is \(\nu_{0}\) and the frequency of the ac source is \(v\), then:
- A \(v_{0}=v=\frac{50}{\pi}\,Hz\)
- B \(v_{0}=\frac{50}{\pi}\,Hz , \nu=50\,Hz\)
- C \(v=100 Hz ; v_{0}=\frac{100}{\pi}\,Hz\)
- D \(v_{0}=\nu=50\,Hz\)
Answer & Solution
Correct Answer
(A) \(v_{0}=v=\frac{50}{\pi}\,Hz\)
Step-by-step Solution
Detailed explanation
\(\omega=100\) \(v=\frac{\omega}{2 \pi}=\frac{100}{2 \pi}=\frac{50}{\pi} Hz\)
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