How tank circuit can be made for FM receiver, if FM career signal frequency is constantly changing?

Question

how tank circuit can be made for FM receiver, if FM career signal frequency is constantly changing according to the amplitude of the information signal. Don't the tank circuit must be tuned to one frequency at a time?

for example, if I tuned to 99.5MHz station, but will not frequency of 99.5MHz be changing back and forth according to the amplitude of the message signal.

Answer 1

Bandwidth of a tuned circuit is determined by "Q" or Quality Factor. All real circuits have a limited Q and so actual bandwidth. This bandwidth is usually greater than the bandwidth of the modulation or it would be useless to receive signals.

Answer 2

I think you mean carrier signal, not career.  And it is only changing in time, not amplitude.

Answer 3

Because any tank circuit has a bandwidth. It passes not just one frequency, but a band of frequencies. The bandwidth of the tank circuit in an FM radio is wide enough to pass the varying frequency of the FM signal.