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The wavelength of waves travelling with the same speed would  decrease if the frequency of the waves increases. This is because,  speed of a wave is the product of the dista â¦ nce of the wavelength  times the frequency of the wave.
Whenever the medium is the same, the speed of the wave is the same. However, when the medium changes, the speed changes. The speed of these waves were dependent upon the properties of the medium.