Here's why:
* The relationship: The speed of a wave (v), its wavelength (λ), and its frequency (f) are related by the following equation:
* v = fλ
* Keeping wavelength constant: If the wavelength (λ) remains constant, and the velocity (v) increases, the only way to maintain the equality in the equation is for the frequency (f) to increase as well.
In simpler terms:
Think of a wave like a series of peaks and troughs. If the wave travels faster (higher velocity), but the distance between each peak (wavelength) stays the same, then more peaks must pass a given point in a certain amount of time. This means the frequency, which measures how many waves pass a point per second, will increase.
