λ = v / f
Where:
* λ (lambda) represents the wavelength (usually measured in meters)
* v represents the velocity (usually measured in meters per second)
* f represents the frequency (usually measured in Hertz, or cycles per second)
This equation can be rearranged to solve for velocity or frequency:
* v = λf
* f = v / λ
Explanation:
* Wavelength is the distance between two consecutive crests or troughs of a wave.
* Velocity is the speed at which a wave travels.
* Frequency is the number of wave cycles that pass a fixed point in one second.
The equation essentially states that the wavelength of a wave is directly proportional to its velocity and inversely proportional to its frequency. This means that:
* A wave with a higher velocity will have a longer wavelength.
* A wave with a higher frequency will have a shorter wavelength.
This relationship is fundamental in understanding the behavior of waves, including light, sound, and electromagnetic radiation.
