In a longitudinal wave, such as a sound wave, the amplitude and wavelength are independent of each other. Changing the amplitude of a longitudinal wave does not directly affect its wavelength.
The amplitude of a wave refers to the maximum displacement of particles in the medium from their equilibrium position. It represents the intensity or magnitude of the wave. Increasing the amplitude of a sound wave, for example, would make the sound louder, but it would not alter the distance between successive compressions or rarefactions of the wave.
On the other hand, the wavelength of a wave is the distance between two consecutive points in phase, such as two crests or two troughs. It is a characteristic property of the wave and is determined by the source and the medium through which the wave travels. The wavelength determines the pitch of a sound wave or the color of a light wave.
The frequency of a wave, which is the number of complete cycles or oscillations of the wave per unit time, is inversely proportional to the wavelength. In other words, as the wavelength increases, the frequency decreases, and vice versa. The frequency of a wave is determined by the source and remains constant as long as the source does not change.
So, to summarize, changing the amplitude of a longitudinal wave does not alter its wavelength. The wavelength and frequency are related but are not directly affected by the amplitude of the wave.