NEET2021Physics-Alternating Current

NEET 2021 Physics LCR Circuits MCQ Question

Type: MCQ-numerical-Medium-Class 12

A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:

A

25 rad/s and 75 rad/s

B

50 rad/s and 25 rad/s

C

46 rad/s and 54 rad/s

D

42 rad/s and 58 rad/s

Correct Answer

Option C

Detailed Explanation

The power transferred is half at frequencies ω₁ and ω₂ where ω₀² = ω₁ω₂. Calculating using the given L, C, and R values, the frequencies are approximately 42 rad/s and 58 rad/s.

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