What happens to the frequency of a wave if its wavelength increases while the speed remains constant?

The frequency f of a wave is inversely proportional to its wavelength λ if the speed v remains constant, following the equation v = fλ. If λ increases, f must decrease to maintain the constant speed. For example, in electromagnetic waves, radio waves have longer wavelengths and lower frequencies compared to X-rays, which have shorter wavelengths and higher frequencies. This inverse relationship is essential in various fields like sound engineering and optics, where adjusting frequency and wavelength affects pitch, color, and data transmission speeds in communication systems.