The wavelength of sound waves is inversely proportional to their frequency if the speed of sound remains constant. This relationship is described by the formula:
Wavelength = Speed of Sound / Frequency
Since the speed of sound remains constant in a given medium, such as air, the wavelength of a sound wave will change as the frequency changes.
If the frequency of a sound wave increases, the wavelength will decrease. This means that higher-frequency waves will have shorter wavelengths. Conversely, if the frequency decreases, the wavelength will increase, resulting in longer wavelengths for lower-frequency waves.
To summarize, the wavelength of sound waves and their frequency are inversely related when the speed of sound is constant: as frequency increases, wavelength decreases, and as frequency decreases, wavelength increases.