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NEETPhysicsAlternating Current

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Smaller the band width, sharper the resonance and easier it is to tune an LCR circuit. Reason (R) : Resonant frequency is arithmetic mean of half power frequencies. In the light of the above statements, choose the most appropriate answer from the options given below:

Options

  1. ABoth (A) and (R) are true and (R) is the correct explanation of (A).
  2. BBoth (A) and (R) are true and (R) is NOT the correct explanation of (A).
  3. C(A) is true but (R) is false.
  4. D(A) is false but (R) is true.

Correct answer

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

Step-by-step solution

Assertion (A) states that a smaller bandwidth leads to sharper resonance and easier tuning of an LCR circuit, which is true. A smaller bandwidth means a sharper peak in the resonance curve. Reason (R) claims that the resonant frequency is the arithmetic mean of half-power frequencies, which is also true. However, this does not directly explain why a smaller bandwidth results in sharper resonance. Thus, while both statements are true, the reason does not effectively explain the assertion. Therefore, the correct choi

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