At very high frequencies,the effective impedance of the given circuit will be $.... \Omega$.

The effective current $I$ in the given circuit at very high frequencies will be $.......A$

$A$ choke coil is preferred to a $Rheostat$ in $AC$ circuits because:

$L$,$C$,and $R$ represent the physical quantities inductance,capacitance,and resistance,respectively. Which of the following combinations has the dimensions of frequency?

Given below are two statements $:$ one is labelled as Assertion $(A)$ and the other is labelled as Reason $(R).$
Assertion $(A) :$ Choke coil is simply a coil having a large inductance but a small resistance. Choke coils are used with fluorescent mercury-tube fittings. If household electric power is directly connected to a mercury tube,the tube will be damaged.
Reason $(R):$ By using the choke coil,the voltage across the tube is reduced by a factor $\left(R / \sqrt{R^2+\omega^2 L^2}\right)$,where $\omega$ is the angular frequency of the supply,$R$ is the resistance,and $L$ is the inductance. If the choke coil were not used,the voltage across the tube would be the same as the applied voltage. In the light of the above statements,choose the most appropriate answer from the options given below $:$

At a particular angular frequency,the reactance of a capacitor and that of an inductor are the same. If the angular frequency is doubled,the ratio of the reactance of the capacitor to that of the inductor will be: