$A$ $100 \mu F$ capacitor is connected to a $100 \text{ V}$, $50 \text{ Hz}$ $AC$ supply. The rms value of the current is (in $\text{ A}$)

$A$ device $'X'$ is connected to an a.c. source. The variation of voltage,current,and power in one complete cycle is shown in the figure.
$(a)$ Which curve shows power consumption over a full cycle?
$(b)$ What is the average power consumption over a cycle?
$(c)$ Identify the device $'X'$.

The reactance of a capacitor at $50 \ Hz$ is $5 \ \Omega$. If the frequency is increased to $100 \ Hz$,the new reactance is (in $\Omega$)

An alternating e.m.f. is applied to a purely capacitive circuit. What is the phase relation between the e.m.f. and the current flowing in the circuit?

Which of the following graphs represents the variation of inductive reactance $(X_{L})$ with the frequency of the voltage source $(\nu)$?

The resistance offered by the inductor $(X_L)$ in an ac circuit is