Whenever the alternating current frequency in a series RLC circuit is halved, a. the inductive reactance is doubled and the capacitive reactance is halved.
b. the inductive reactance is doubled and the capacitive reactance is doubled.
c. the inductive reactance is halved and the capacitive reactance is halved.
d. the inductive reactance is halved and the capacitive reactance is doubled.
e. the reactance of the circuit remains the same.

The correct option is

a. The inductive reactance is doubled and the capacitive reactance is halved

Explanation:

For a series RLC circuit, is a resonant circuit such that the impedance, Z, is minimum at the resonance frequency

Also we have that the capacitive reactance , is given as follows;

Where;

ω = Angular frequency = 2πf

Where;

f = The frequency in the circuit

The inductive reactance is also given as follows;

Therefore, when the circuit frequency doubles, the inductive reactance doubles and the capacitive reactance halves