Answer:
(a) The impedance in the circuit is  .
.
(b)The resistance is  .
.
(c) The inuctance is 0.57 H.
Explanation:
(a)
The expression for the impedance is as follows:

Here,  is the rms voltage and
 is the rms voltage and  is the rms current.
 is the rms current.
Put and
 and  .
.


Therefore, the impedance in the circuit is  .
.
(b)
The expression for the average power is as follows;

Here,  is the average power and R is the resistance.
 is the average power and R is the resistance.
Calculate the resistance by rearranging the above expression.

Put  and
 and 


Therefore, the resistance is  .
.
(c)
The expression for the impedance is as follows;

Here, is the inductive reactance.
 is the inductive reactance.
Put  and
 and  .
.


The expression for the inductive reactance in terms of  frequency is as follows;

Here, L is the inductance.
Calculate the inductance by rearranging the above expression.

Put  and f=50Hz.
 and f=50Hz.

L=0.57 H
Therefore, the inuctance is 0.57 H.