In a longitudinal wave, amplitude is not directly dependent on wavelength. The amplitude of a wave refers to the maximum displacement or maximum value reached by a wave from its equilibrium position. In the case of longitudinal waves, the displacement occurs parallel to the direction of wave propagation, which is different from transverse waves where the displacement is perpendicular to the direction of propagation.
The amplitude of a longitudinal wave is determined by the energy of the wave, the initial disturbance that creates the wave, or the strength of the source. It represents the maximum compression or rarefaction of the medium as the wave passes through it.
On the other hand, the wavelength of a longitudinal wave refers to the distance between two consecutive points (such as two compressions or two rarefactions) that are in phase with each other. It is a characteristic property of the wave and represents the spatial period of the wave.
While amplitude and wavelength are both important properties of a longitudinal wave, they are independent of each other. You can have a longitudinal wave with a large amplitude and a short wavelength or a small amplitude and a long wavelength, and vice versa. The two properties are related to different aspects of the wave's behavior and characteristics.