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The station's 'frequency' tells you that 84,200,000 waves leave the transmitting antenna each second.

So the time interval between the beginning of one wave and the beginning of the next one is

1 / 84,200,000 = 1.18786 x 10-8 second (rounded)

= 11.879 nanoseconds (rounded)

= 0.01188 microsecond (rounded)

By the way, just FYI . . . 84.2 MHz is not an FCC-licensed frequency for an FM radio station.
The FM broadcast band starts at 88 MHz, and the carrier frequencies are odd multiples of 0.1 MHz.
84.2 would have been smack in the middle of the visual portion of the former Channel-6 analog TV signal.

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Q: An FM radio station broadcasts at 84.2MHz Determine the period of the radio waves?
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