$A$ charged $30 \mu\text{F}$ capacitor is connected to a $27 \text{ mH}$ inductor. What is the angular frequency of free oscillations of the circuit (in $\text{ rad/s}$)?

Compare the oscillations in an $LC$ circuit with the oscillations of a block attached to a spring.

In an oscillating $LC$-circuit,$L = 3 \ mH$ and $C = 2.7 \ \mu F$. At $t = 0$,the charge on the capacitor is zero and the current is $2 \ A$. The maximum charge that will appear on the capacitor will be

Give the name of the physical quantity in an $LCR$ circuit that corresponds to the spring constant $k$ in forced oscillations.

If $L$ and $C$ are inductance and capacitance respectively,then the dimensional formula of $(LC)^{-\frac{1}{2}}$ is

$A$ $2 \mu F$ capacitor is charged to $50 V$ by a battery. The battery is removed after the capacitor is fully charged. At time $t=0$,a $10 mH$ coil is connected in series with the capacitor. The maximum rate at which the current changes in the circuit is (in $A s^{-1}$)