$A$ transmitter transmits at a wavelength of $300\ m$. $A$ capacitor of capacitance $9.6\ \mu F$ is being used. The value of the inductance for the resonant circuit is approximately.

$A$ 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,$L = 3 \ mH$ 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

The frequency of the output signal of an $LC$ oscillator circuit is $F \ Hz$ with a capacitance of $0.1 \ \mu F$. If the value of the capacitor is increased to $0.2 \ \mu F$,then the frequency of the output signal will be

The carrier frequency generated by a tank circuit containing $1 \,nF$ capacitor and $10 \, \mu H$ inductor is

In the $LC$ circuit shown below,the current is in the direction shown. At this time :-