The radio station transmits at a frequency of 75 MHz. determine the wavelength if v = 3 x 10 ^ 8 m / s.

Given:

u = 75 MHz is the frequency at which the radio station is transmitting;

v = 3 * 10 ^ 8 meters per second – the speed of electromagnetic waves.

It is required to determine l (meter) – the wavelength.

Let’s convert the units of measurement of frequency from megahertz to hertz:

u = 75 MHz = 75 * 10 ^ 6 Hertz.

Then the length of the electromagnetic wave will be equal to:

l = v / u = 3 * 10 ^ 8 / (75 * 10 ^ 6) = 300 * 10 ^ 6 / (75 * 10 ^ 6) = 300/75 = 4 meters.

Answer: the length of the electromagnetic wave is 4 meters (OCHV range).