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MHT CET 2024 (9 May, Shift 1) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from MHT CET 2024 (9 May, Shift 1)

Q36MHT CET 2024 · 9 MAY · SHIFT 1Easy

Resonance, Bandwidth & Q Factor

LC series resonant circuit produces resonant frequency ' $f$ '. If ' $L$ ' is tripled and ' $C$ ' is increased by $3C$ , the resonant frequency will be

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Answer: (b)

$f \propto \dfrac{1}{\sqrt{LC}}$
$L' = 3L$ , $C' = C + 3C = 4C \Rightarrow L'C' = 12LC$
$f' = \dfrac{f}{\sqrt{12}} = \dfrac{f}{2\sqrt{3}}$ . So the answer is (b).

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