The velocity of a wave is given by,
The wavelength of a wave always remains a constant. For this reason, an increase in wave frequency will cause a decrease in wavelength while the wave speed remained constant. The same can be reinforced if you think of sound wave. Irrespective of wavelength and frequency the speed of sound wave in air will be constant.
Hence we can conclude that the wave frequency does not affect wave speed. In otherwords,
Velocity of a waveis independent of frequency.
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