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Question

A series LCR circuit is connected across a source of alternating emf of changing frequency and resonates at frequency fo. Keeping capacitance constant, if the inductance (L) is increased by 3 times and resistance(R) is increased by 1.4 times, the resonant frequency now is:

A
31/4f0
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B
3f0
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C
(31)1/4f0
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D
(13)1/4f0
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Solution

The correct option is C (13)1/4f0
Resonant frequency of a series LCR circuit is given by the formula

f=12πLC

Hence, f0=12πLC

In second case, f=12πLC=12π3LC=1314f0

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