JEE Advanced 2024 — Paper 1 — Question 33

The circuit shown in the figure contains an inductor $L$, a capacitor $C_{0}$, a resistor $R_{0}$ and an ideal battery. The circuit also contains two keys $\mathrm{K}_{1}$ and $\mathrm{K}_{2}$. Initially, both the keys are open and there is no charge on the capacitor. At an instant, key $\mathrm{K}_{1}$ is closed and immediately after this the current in $R_{0}$ is found to be $I_{1}$. After a long time, the current attains a steady state value $I_{2}$. Thereafter, $K_{2}$ is closed and simultaneously $\mathrm{K}_{1}$ is opened and the voltage across $\mathrm{C}_{0}$ oscillates with amplitude $\mathrm{V}_{0}$ and angular frequency $\omega_{0}$ Match the quantities mentioned in List-I with their values in List-II and choose the correct option.