The wavelength of a wave is inversely proportional to its velocity when the frequency remains constant. Therefore, if the velocity increases while keeping the frequency and amplitude constant, the wavelength will decrease.
Mathematically, the relationship between wavelength (λ), velocity (v), and frequency (f) is given by the formula:
v = λf
Since frequency (f) and amplitude are constant, if the velocity (v) increases, we can rearrange the formula to solve for wavelength:
λ = v/f
As velocity (v) increases, the wavelength (λ) will decrease proportionally, maintaining a constant frequency. This relationship holds true for any type of wave, including sound waves, light waves, and other electromagnetic waves.