The reactance of an inductor at $50 \, Hz$ is $10 \, \Omega$. The reactance of it at $200 \, Hz$ is

$A$ 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 $'X'$.

Consider a pure inductive $A$.$C$. circuit as shown in the figure. If the average power consumed is $P$, then

The capacitive reactance of a capacitor $C$ is $X \ \Omega$. Both the frequency of the $A.C.$ supply and the capacitance of the capacitor are doubled. The new capacitive reactance will be:

An alternating voltage of $22 \, V$ is applied across an inductance coil of reactance $11 \, \Omega$. If the inductance of the coil is $0.07 \, H$, the frequency of the alternating voltage is: (in $ \, Hz$)

$A$ coil has an inductance of $3 \ H$. The ratio of its reactance when it is first connected to an a.c. source and then to a d.c. source is: