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

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

The equation of current in a purely inductive circuit is $i = 5 \sin (49 \pi t - 30^{\circ})$. If the inductance is $30 \, mH$,then the equation for the voltage across the inductor will be. (Let $\pi = \frac{22}{7}$)

An alternating voltage source $V = 260 \sin(628t)$ is connected across a pure inductor of $5\,mH$. Inductive reactance in the circuit is $......... \Omega$.

Inductive reactance . . . . . .

If wattless current flows in the $AC$ circuit, then the circuit is