Question

A radio station's channel, such as 100.7 fm or 92.3 fm, is actually its frequency in megahertz (mhz), where 1mhz=106hz and 1hz=1sâ1. calculate the broadcast wavelength of the radio station 104.1 fm.

Answer 1

In order to determine the wavelength, we use the wave equation:

speed = frequency * wavelength

speed of light c = 3 x 10⁸ m/s

Frequency f = 104.1 MHz = 1.041 x 10⁸ Hz

c = fλ
λ = c / f

λ = 3 x 10⁸ / 1.041 x 10⁸
λ = 2.88 meters

The wavelength of the waves is 2.88 meters.