# Answer to Question #18306 in Electromagnetism for Mary

Question #18306

This is a wave problem

an fm radio station broadcasts at a frequency of 90 mhz. what distance does a radio wave leaving the antenna travel in one vibration if the wave travels at a speed of 3.0 x 10 to the 8th m/s?

an fm radio station broadcasts at a frequency of 90 mhz. what distance does a radio wave leaving the antenna travel in one vibration if the wave travels at a speed of 3.0 x 10 to the 8th m/s?

Expert's answer

In one vibration, distance isexactly one wavelength, by definition.

Wavelength = speed / frequency.

If you meant mHz, millihertz,

wavelength = (3.0*10^8 m/s) / (90*10^-3 Hz) = 3.33 * 10^9 meters

But by common sense, it's MHz, megahertz, so

wavelength = (3.0*10^8 m/s) / (90*10^6 Hz) = 3.33 meters

Answer: 3.33 meters

Wavelength = speed / frequency.

If you meant mHz, millihertz,

wavelength = (3.0*10^8 m/s) / (90*10^-3 Hz) = 3.33 * 10^9 meters

But by common sense, it's MHz, megahertz, so

wavelength = (3.0*10^8 m/s) / (90*10^6 Hz) = 3.33 meters

Answer: 3.33 meters

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