No, the speed of a sound wave does not change if its frequency increases. The speed of sound in a given medium depends on the properties of that medium, such as its density and elasticity. In general, sound waves travel faster in denser and more elastic materials. For example, sound waves travel faster in solids compared to liquids and gases.
The frequency of a sound wave refers to the number of cycles or vibrations of the wave that occur per unit of time. It is commonly measured in hertz (Hz). The frequency of a sound wave determines its pitch, with higher frequencies corresponding to higher-pitched sounds and lower frequencies corresponding to lower-pitched sounds.
When the frequency of a sound wave changes, it affects its wavelength. The wavelength is the distance between two consecutive points of similar phase in a wave. For sound waves, higher frequencies correspond to shorter wavelengths, and lower frequencies correspond to longer wavelengths.
Therefore, while changing the frequency of a sound wave affects its pitch and wavelength, it does not alter the speed at which the sound wave travels through a particular medium.