12th Class Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Assertion And Reason (MCQs) - Alternating Current

  • question_answer
    Assertion (A): Quality factor of a series LCR circuit is \[\operatorname{Q}=\frac{1}{\operatorname{R}}\sqrt{\frac{L}{C}}\]
    Reason (R): As bandwidth decreases, Q increases in a resonant LCR circuit.

    A) Both A and R are true and R is the correct explanation of A

    B) Both A and R are true but R is NOT the correct explanation of A

    C) A is true but R is false

    D) A is false and R is true

    Correct Answer: B

    Solution :

    Option [b] is correct
    Explanation: Quality factor of a series LCR circuit is \[\operatorname{Q}=\frac{1}{\operatorname{R}}\sqrt{\frac{L}{C}}\]. Assertion is true.
    Quality factor is also defined as
    \[\operatorname{Q}=\frac{Resonant\ frequency}{Bandwidth}\]. So, as bandwidth decreases, Q increases. So, reason is also true. But reason does not explain the assertion.


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