AIIMS 2018 Physics LCR Circuits MCQ Question

In an LCR circuit, the quality factor $Q$ is defined as $Q = \frac{\omega L}{R}$, where $\omega$ is the angular frequency. Rearranging this equation gives $\omega = \frac{QR}{L}$. The capacitance $C$ can be expressed in terms of $\omega$ as $C = \frac{1}{\omega^2 L}$. Substituting $\omega$ into this equation results in $C = \frac{L}{(QR)^2}$, confirming that option (A) is correct. Options (B) and (C) are incorrect because they introduce incorrect factors or coefficients that do not align with the derived relationship for capacitance in terms of $L$, $R$, and $Q$.