NEET2022Physics-Alternating Current

NEET 2022 Physics LCR Circuits MCQ Question

Type: MCQ-numerical-Medium-Class 12

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

A

v₀ = 50/π Hz, v = 50 Hz

B

v = 100 Hz, v₀ = 100/π Hz

C

v₀ = v = 50 Hz

D

v₀ = v = 50/π Hz

Correct Answer

Option A

Detailed Explanation

The resonant frequency is given by v₀ = 1/(2π√(LC)). Substituting the given values, v₀ = 50/π Hz. The frequency of the source is 50 Hz.

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