When the frequency of a wave increases, the wavelength decreases, and vice versa. The frequency of a wave refers to the number of complete oscillations or cycles that occur in a given unit of time, while the wavelength is the distance between two corresponding points on the wave, such as two crests or two troughs.
The relationship between frequency (f) and wavelength (λ) is given by the equation:
c = f * λ
where c represents the speed of the wave. From this equation, we can see that if the frequency increases, and the speed remains constant, the wavelength must decrease to maintain the equation. Similarly, if the frequency decreases, the wavelength must increase.
Regarding the amplitude of a wave, it refers to the maximum displacement or height of the wave from its equilibrium position. The amplitude is not directly related to the frequency or wavelength of the wave. Therefore, changing the frequency or wavelength of a wave does not affect its amplitude. The amplitude remains constant unless some external factors or properties of the medium through which the wave is propagating change.