An inductor is connected to an $AC$ source of frequency $50 \ Hz$. The frequency of the instantaneous power developed in the circuit is (in $Hz$)

The value of the current through an inductance of $1 \, H$ and of negligible resistance,when connected to an $ac$ source of $200 \, V$ and $50 \, Hz$ is: (in $, A$)

An $A.C.$ source is connected across a pure inductor. Which one of the following figures shows the correct phase relation between the current and $e.m.f.$?

The reactance of a capacitor of capacitance $C \mu F$ for an $ac$ frequency of $\frac{400}{\pi} \ Hz$ is $25 \ \Omega$. The value of $C$ is ..... $\mu F$.

Capacitive reactance of a capacitor in an $AC$ circuit is $3 \ k\Omega$. If this capacitor is connected to a new $AC$ source of double frequency,the capacitive reactance will become:

An alternating voltage $v = 200 \sqrt{2} \sin(100 t)$ is connected to a $1 \mu F$ capacitor through an $A.C.$ ammeter. The reading of the ammeter shall be: (in $\text{ mA}$)