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...so, in deep water the velocity is proportional to the wavelength. In shallow water the wave speeds up, making You've Been Framed the program it is.
The basic wave equation says speed equals freq times wavelength. That makes sense - if 10 long waves go past in a second they have to be going faster than if 10 short waves go past
In a water wave the horizontal force on a water molecule is going to just be proportional to the amplitude of the wave. So it will be the same for a low and high frequencies.