When the frequency of the AC voltage applied to series LCR circuit is gradually increased from a low value, the impedance of the circuit:

monotonically increases.

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first increases and then decreases.

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first decreases and then increases.

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monotonically decreases.

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Solution

The correct option is C first decreases and then increases.
Impedance of series LCR circuit is given by:
$Z^{2} = {(ω L - \frac{1}{ω C})}^{2} + R^{2}$

Drawing the above curve for impedance v/s frequency, we get the plot as shown in the attached figure. Hence, impedance first decreases and then increases.

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When the frequency of the AC voltage applied to series LCR circuit is gradually increased from a low value, the impedance of the circuit:

The correct option is C first decreases and then increases.Impedance of series LCR circuit is given by:Z2=(ωL−1ωC)2+R2Drawing the above curve for impedance v/s frequency, we get the plot as shown in the attached figure. Hence, impedance first decreases and then increases.