STANDARDPhysics-Alternating Current
STANDARD Physics Resonance in 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(100t) volt. If the resonant frequency of the LCR circuit is v₀ and the frequency of the ac source is v, then
A
v₀ = v = 50/π Hz
B
v₀ = 50/π Hz, v = 50 Hz
C
v = 100 Hz; v₀ = 100/π Hz
D
v₀ = v = 50 Hz
Correct Answer
Option B
Detailed Explanation
The resonant frequency is given by 2πv₀ = 1/√(LC). Substituting the given values, v₀ = 50/π Hz. The frequency of the source is 100/2π = 50 Hz.
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