Understanding the Relationship
* Wavelength (λ): The distance between two consecutive peaks or troughs of a wave.
* Frequency (f): The number of wave cycles that pass a point per second.
* Speed of Light (c): The speed at which all electromagnetic waves travel in a vacuum. The value of c is approximately 3 x 10⁸ meters per second (m/s).
The Formula
The relationship between wavelength, frequency, and the speed of light is:
c = fλ
Solving for Wavelength
1. Convert frequency to Hertz: 560 kilohertz (kHz) = 560,000 Hertz (Hz)
2. Rearrange the formula to solve for wavelength: λ = c / f
3. Plug in the values: λ = (3 x 10⁸ m/s) / (560,000 Hz)
4. Calculate: λ ≈ 535.7 meters
Therefore, a typical radio wave with a frequency of 560 kHz has a wavelength of approximately 535.7 meters.