Which of the following curves correctly represents the variation of capacitive reactance $X_C$ with frequency $f$?

An alternating $emf$ $E = 440 \sin(100 \pi t)$ is applied to a circuit containing an inductance of $\frac{\sqrt{2}}{\pi} \text{ H}$. If an $AC$ ammeter is connected in the circuit,its reading will be $....... \text{ A}$.

An alternating voltage $v(t) = 220 \sin(100 \pi t) \text{ V}$ is applied to a purely resistive load of $50 \, \Omega$. The time taken for the current to rise from zero to half of its peak value is ..... $ms$.

$A$ $100 \; \Omega$ resistor is connected to a $220 \; V, 50 \; Hz$ $ac$ supply.
$(a)$ What is the $rms$ value of current in the circuit?
$(b)$ What is the net power consumed over a full cycle?

When an inductor is connected to an $AC$ source of frequency $\omega$,what is the frequency of the instantaneous power?

Capacitive reactance of a capacitor in an $AC$ circuit is $6 \ k\Omega$. If the same capacitor is connected to an $AC$ source of double the frequency,the capacitive reactance will become