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MHT CET 2024 (10 May, Shift 1) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from MHT CET 2024 (10 May, Shift 1)

Q35MHT CET 2024 · 10 MAY · SHIFT 1Easy

Resonance, Bandwidth & Q Factor

A series resonant circuit consists of inductor ' $L$ ' of negligible resistance and a capacitor ' $C$ ' which produces resonant frequency ' $f$ '. If $L$ is changed to 3 L and ' C ' is changed to 6 C, the resonant frequency will become.

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Answer: (d)

$f \propto \dfrac{1}{\sqrt{LC}}$
$L'C' = 3L \times 6C = 18LC$
$f' = \dfrac{f}{\sqrt{18}} = \dfrac{f}{3\sqrt{2}}$ . So the answer is (d).

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