If the frequency of a wave increases while the velocity remains the same, the wavelength of the wave will decrease.

Here's why:

* The relationship: The fundamental relationship between frequency (f), wavelength (λ), and velocity (v) of a wave is:

v = fλ

* Keeping velocity constant: If the velocity (v) is constant, and the frequency (f) increases, the only way to maintain the equation is for the wavelength (λ) to decrease.

In simpler terms:

Imagine waves in a pond. If you make the waves more frequent (more waves per second), but the speed of the waves stays the same, the distance between the wave crests (the wavelength) will become smaller.