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

The reactance of a coil when used in the domestic $ac$ power supply $(220\, V, 50\, Hz)$ is $100\, \Omega$. The self-inductance of the coil is nearly........$H$.

$A$ pure inductor of $50.0 \ mH$ is connected to a source of $220 \ V$. The frequency of the source is $50 \ Hz$. The rms current in the circuit (in $A$) will be $......$.

An $AC$ source is connected to a purely resistive circuit. Which of the following is true?

$A$ $100 \; \Omega$ 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?

In a pure inductive circuit, the curve between frequency $f$ and the reciprocal of inductive reactance $1/X_L$ is: