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A series LCR circuit containing \( 5.0 \mathrm{H} \) inductor, \( 80 \mu \mathrm{F} \) capacitor and \( 40 \Omega \) res…

Q1

A series LCR circuit containing \( 5.0 \mathrm{H} \) inductor, \( 80 \mu \mathrm{F} \) capacitor and \( 40 \Omega \) resistor is connected to \( 230 \mathrm{~V} \) 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:-

[NEET 2021]

a

\( 50 \mathrm{rad} / \mathrm{s} \) and \( 25 \mathrm{rad} / \mathrm{s} \)

b

\( 46 \mathrm{rad} / \mathrm{s} \) and \( 54 \mathrm{rad} / \mathrm{s} \)

c

\( 42 \mathrm{rad} / \mathrm{s} \) and \( 58 \mathrm{rad} / \mathrm{s} \)

d

\( 25 \mathrm{rad} / \mathrm{s} \) and \( 75 \mathrm{rad} / \mathrm{s} \)

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