If an inductor is connected across an ac source and suppose the frequency of the source is doubled, then the inductive reactance of the inductor is also doubled. The inductive reactance (XL) is the the opposition to current flowing through a coil in an AC circuit, the impedance measured in Ohms and can be calculated with the following formula:
XL=2*pi*f*L,
where f is the frequency. So, if the frequency is doubled than also the inductive reactance is doubled.