What is the relation between amplitude and frequency?

As a domain expert in the field of physics, I can explain the relationship between amplitude and frequency for you. Amplitude and frequency are two distinct characteristics of a wave. Amplitude refers to the maximum displacement or distance moved by a point on a vibrating system from its equilibrium position. It is a measure of the energy or intensity of the wave and is typically represented by the letter 'A'. On the other hand, frequency is the number of oscillations or cycles that a wave undergoes in a unit of time, commonly measured in Hertz (Hz). It is represented by the Greek letter 'ν' (nu). The relationship between amplitude and frequency is that they are independent of each other. This means that the amplitude of a wave does not affect its frequency, and vice versa. A wave can have a high amplitude and a low frequency, or it can have a low amplitude and a high frequency. The two properties describe different aspects of the wave and do not influence each other. The reference you provided talks about the relationship between wavelength, frequency, and velocity, which is indeed a simple one. The wavelength (L) is the distance between two successive points on the wave that are in the same phase, such as the distance between two consecutive crests or troughs. The velocity (v) of a wave is the speed at which the wave propagates through space. The relationship between these three is given by the equation v = L/P, where P is the period, which is the inverse of the frequency (P = 1/ν). In summary, amplitude and frequency are independent properties of a wave. The amplitude does not determine the frequency, and the frequency does not determine the amplitude. The provided equation v = L/P relates wavelength, frequency, and velocity, but it does not involve amplitude.

None. For any wave, the amplitude can be anything. There is a simple relationship between wavelength, frequency, and velocity. You can see this easily: a wave travels one wavelength L in one period P, so v = L/P.