Yes, two waves of different amplitude can cause interference. In fact, interference occurs when two or more waves superpose or overlap with each other. The resulting pattern is determined by the characteristics of the individual waves, including their amplitudes, wavelengths, and phases.
Interference can be either constructive or destructive, depending on the relative phase and amplitude of the waves.
Constructive Interference: Constructive interference occurs when two waves with the same or similar frequencies, and different amplitudes, overlap in such a way that their individual amplitudes add up. This results in a wave with a larger amplitude than the individual waves. When the peaks of both waves align, they reinforce each other, leading to an increase in the overall amplitude.
Destructive Interference: Destructive interference occurs when two waves with the same or similar frequencies, and different amplitudes, overlap in such a way that their individual amplitudes cancel each other out. This results in a wave with a smaller or zero amplitude in certain regions. When the peak of one wave aligns with the trough of another wave, they tend to cancel each other, leading to a decrease or complete elimination of the overall amplitude.
The specific interference pattern that arises depends on the relative phase and amplitude of the waves. The interference can occur between waves of any amplitude, as long as they overlap or superpose in space and time.