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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.
The wave velocity in one medium not only may differ from that in another, but the velocity typically varies with wavelength. As a result, the change in direction upon entering a different medium changes with the wavelength of the wave. For electromagnetic waves the speed in a medium is governed by its refractive index according to