NEET Physics Question - Alternating Current

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.

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

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

Smaller bandwidth implies a higher quality factor \(Q\) and sharper resonance, leading to better frequency selectivity (easier tuning). Resonant frequency \(\omega_0\) is the *geometric mean* \(sqrt{\omega_1 \omega_2}\,\) not the arithmetic mean of half-power frequencies.

Rankers Physics

Bandwidth and Resonance Sharpness

Solution:

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