$A$ $LC$ circuit is in the state of resonance. If $C = 0.1 \mu F$ and $L = 0.25 \ H$. Neglecting the ohmic resistance of the circuit,what is the frequency of oscillations in $Hz$?

In the given circuit,when $S_1$ is closed,the capacitor gets fully charged. Now $S_1$ is opened and $S_2$ is closed. Then

If $L = 1.00 \, mH$ and $C = 1.00 \, nF$,find the resonant frequency in $rad/s$.

$A$ transistor-oscillator using a resonant circuit with an inductor $L$ (of negligible resistance) and a capacitor $C$ in series produces oscillations of frequency $f$. If $L$ is doubled and $C$ is changed to $4C$,the frequency will be

$A$ 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.....$A$

$A$ charged $10 \mu F$ capacitor is connected to a $16 \text{ mH}$ inductor. What is the angular frequency of free oscillations of the circuit?