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MHT CET 2026 (15 Apr, Shift 2) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from MHT CET 2026 (15 Apr, Shift 2)

Q6MHT CET 2026 · 15 APR · SHIFT 2Easy

Resonance, Bandwidth & Q Factor

A series resonant circuit consists of an inductor 'L' and capacitor 'C' which produces resonant frequency 'f'. If 'L' is increased by '2L' and 'C' is changed to '9C' the resonant frequency will be

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Answer: (d)

$f \propto \dfrac{1}{\sqrt{LC}}$
$L' = L + 2L = 3L$ , $C' = 9C \Rightarrow L'C' = 27LC$
$f' = \dfrac{f}{\sqrt{27}} = \dfrac{f}{3\sqrt{3}}$ . So the answer is (d).

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