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Question

# Assertion : In series LCR circuit, the resonance occurs at one frequency only.Reason : At resonance the inductive reactance is equal and opposite to the capacitive reactance.

A
A,R are true and R is the correct reason for A
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B
A,R are true and R is not the correct reason for A
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C
A is true, R is false
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D
A is false, R is true
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Solution

## The correct option is B A,R are true and R is the correct reason for AResonance frequency w=1√LCZC=ZL1wc=wLfor a particular set of conductor and capacitor there is only one value of frequencyi.e. w=1√LCHence both Assertion and Reason are true and Reason is the correct explanation for Assertion.

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