If $C$ and $L$ denote capacitance and inductance respectively,then the dimensions of $LC$ are

$A$ capacitor of capacitance $C$ is charged to a potential $V_1$. It is then connected to an ideal inductor of inductance $L$. When the potential across the capacitor drops to $V_2$,what is the current flowing through the inductor?

In an oscillating $LC$ circuit,the maximum charge on the capacitor is $Q$. The charge on the capacitor when the energy is stored equally between the electric and magnetic fields is

$A$ tuned circuit of a transistor oscillator unit has an inductance of $5 mH$ and a capacitance of $5 pF$. The natural frequency of the oscillator is

In the $LCR$ circuit shown in the figure,the ac driving voltage is $V = V_m \sin \omega t$.
$(a)$ Write down the equation of motion for $q(t)$.
$(b)$ At $t = t_0$,the voltage source is removed and $R$ is short-circuited. Write down the energy stored in each of $L$ and $C$ at this instant.
$(c)$ Describe the subsequent motion of charges.

An $L-C$ circuit contains a $196 \text{ pF}$ capacitor and a $441 \text{ } \mu\text{H}$ inductor. The frequency of electromagnetic radiation emitted by an antenna coupled to the $L-C$ circuit is: