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

In an $LC$ circuit,the capacitor has maximum charge $q_0$. The value of ${\left| {\frac{{di}}{{dt}}} \right|_{\max }}$ is

The switch is in position $A$ for a long time. At time $t=0$,it is shifted to position $B$. Find the maximum charge that will accumulate on the capacitor.

An oscillator circuit consists of an inductance of $0.5 \, mH$ and a capacitor of $20 \, \mu F$. The resonant frequency of the circuit is nearly (in $Hz$)

$A$ condenser of capacity $6 \ \mu F$ is fully charged using a $6 \ V$ battery. The battery is removed and a resistanceless $0.2 \ mH$ inductor is connected across the condenser. The current flowing through the inductor when one-third of the total energy is in the magnetic field of the inductor is.....$A$

An $LCR$ circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having a damping constant $b$,the correct equivalence would be: