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(C) The resonant frequency $f_r$ of a series $LCR$ circuit is given by the formula:$f_r = \frac{1}{2 \pi \sqrt{LC}}$To increase the resonant frequency

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Another capacitor should be added in series with the first capacitor

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(C) The resonant frequency $f_r$ of a series $LCR$ circuit is given by the formula:$f_r = \frac{1}{2 \pi \sqrt{LC}}$To increase the resonant frequency $f_r$,the product $LC$ must decrease.When a capacitor is added in series with the existing capacitor,the equivalent capacitance $C_{eq}$ is given by $\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2}$. This results in a decrease in the total capacitance $(C_{eq} Since $f_r \propto \frac{1}{\sqrt{C}}$,a decrease in total capacitance leads to an increase in the resonant frequency.

To increase the resonant frequency in a series $LCR$ circuit,

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