What is the formula for finding the length of a radio wave when frequency is known?

The correct formula for finding the length of a radio wave, commonly referred to as wavelength, when the frequency is known, is derived from the relationship between the speed of light, frequency, and wavelength. The speed of light in a vacuum is approximately 300,000,000 meters per second (or 3 x 10^8 m/s).

To find the wavelength (λ) of a radio wave, you can use the formula:

[

\lambda = \frac{c}{f}

]

where ( c ) is the speed of light, and ( f ) is the frequency of the wave. Rearranging this formula gives you the wavelength as the speed of light divided by the frequency, which aligns precisely with the choice that has been identified.

Thus, when you know the frequency of a radio wave, you can accurately calculate the wavelength by dividing the constant speed of light by that frequency. This relationship allows us to understand how different frequencies correspond to different wavelengths in the electromagnetic spectrum.