how many seconds is the period of a sinusoidal radiation from a station FM100 at 100 MHz ?

Question

how many seconds is the period of a sinusoidal radiation from a station FM100 at 100 MHz ?

Answer 1

The reciprocal of frequency is time. Since Hz is cycles/second, the reciprocal will be seconds/cycle. The frequency we're interested in is is 100 MHz or 10^8 Hz, so the period will be 1/10^8 seconds. This can also be expressed as 0.01 microseconds.

Now, I don't know how specific you want to get, but an FM radio station will not transmit at exactly 100 MHz. It will transmit at either 99.9 MHz or 100.1 MHz. The periods of both follow:

99.9 MHz : 0.01001 µs
100.1 MHz : 0.00999 µs

Answer 2

100 MHz is the frequency and its period in seconds (the time you are looking for) is the reciprocal of that.

so 1/100,000,000 = .01 microseconds.