What effect does increasing frequency have on the wavelength of a wave?

Increasing the frequency of a wave leads to a decrease in its wavelength. This relationship is derived from the wave equation, which states that the speed of a wave (v) is equal to its frequency (f) multiplied by its wavelength (λ):

v = f × λ.

In a uniform medium, the speed of the wave remains constant. If the frequency increases while the speed stays the same, the wavelength must decrease to maintain equality in the equation. This results in shorter wavelengths corresponding to higher frequencies.

The other options do not accurately reflect this relationship; they either suggest an increase in wavelength, indicate that wavelength remains unchanged, or mention amplitude, which is unrelated to the changes in frequency and wavelength. Hence, the correct understanding of the relationship between frequency and wavelength is that an increase in frequency results in a decrease in wavelength.