Understanding the Relationship

* Speed of Light (c): Radio waves, like all electromagnetic radiation, travel at the speed of light, which is approximately 3 x 10⁸ meters per second (m/s).

* Frequency (f): This is how many wave cycles occur per second, measured in Hertz (Hz).

* Wavelength (λ): This is the distance between two consecutive peaks or troughs of a wave, measured in meters (m).

The Formula

The relationship between these three is:

c = fλ

Solving for Wavelength

1. Convert MHz to Hz: 80.0 MHz = 80.0 x 10⁶ Hz

2. Rearrange the formula: λ = c / f

3. Substitute the values: λ = (3 x 10⁸ m/s) / (80.0 x 10⁶ Hz)

4. Calculate: λ = 3.75 meters

Therefore, the wavelength of a radio wave vibrating at 80.0 MHz is 3.75 meters.