* The Relationship: The speed of a wave (v), its frequency (f), and its wavelength (λ) are all interconnected by the following equation:
v = fλ
* Constant Speed, Variable Wavelength: If the speed (v) of the wave is constant, the equation tells us that the frequency (f) and wavelength (λ) are directly proportional. This means if one changes, the other must change as well to maintain the constant speed.
* Example: Imagine two waves traveling at the same speed. If one wave has a shorter wavelength, it must have a higher frequency to maintain the same speed. Conversely, a wave with a longer wavelength will have a lower frequency.
In summary, the speed of a wave dictates the relationship between its frequency and wavelength. Therefore, waves traveling at the same speed must have a defined frequency.
