Here's why:
* Wave speed is determined by the properties of the medium. The speed of a wave is dependent on the medium it travels through. For example, sound travels faster in solids than in liquids, and faster in liquids than in gases.
* Frequency and wavelength are inversely proportional. For a given wave speed, if you increase the frequency, the wavelength will decrease.
* The relationship between speed, frequency, and wavelength is: Speed = Frequency x Wavelength
Therefore, if you increase the frequency of a wave in the same medium, the wavelength will decrease, resulting in a change in the wave speed.
However, it's important to note that the change in speed might be negligible for some types of waves, especially in a very specific medium. For example, in a vacuum, the speed of light is constant regardless of its frequency.
