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

$A$ $1 \mu F$ capacitor is charged to $50 \ V$ and is then discharged through a $10 \ mH$ inductor of negligible resistance. The maximum current in the inductor is (in $A$)

$A$ circuit consists of a coil with inductance $L$ and an uncharged capacitor of capacitance $C$. The coil is in a constant uniform magnetic field such that the flux through the coil is $\phi$. At time $t=0$,the magnetic field is abruptly switched $OFF$. Let $\omega_{0}=1 / \sqrt{L C}$ and ignore the resistance of the circuit. Then,

The resonant frequency of an $LC$ circuit is $f_0$. If a dielectric slab of constant $K = 16$ is inserted completely between the plates of the capacitor,then the new resonant frequency is:

At a moment $t = 0$ when the charge on capacitor $C_1$ is zero,the switch $S$ is closed. If $I_0$ is the current through the inductor at that instant,then for $t > 0,$

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