When destructive interference occurs between waves with different amplitudes, the resulting interference pattern will be influenced by the relative amplitudes of the waves involved. Destructive interference happens when two waves combine in such a way that their displacements or amplitudes subtract from each other, resulting in a diminished overall amplitude at specific points.
If the waves have different amplitudes, the resultant wave will still exhibit areas of destructive interference, but the depth of the destructive interference will be determined by the relative amplitudes of the waves.
For example, let's consider two waves: Wave A with a larger amplitude and Wave B with a smaller amplitude. When these waves interfere destructively, the resulting wave will have regions where the amplitudes subtract from each other, leading to reduced overall amplitudes. However, the regions of complete destructive interference, where the resultant amplitude is zero, will be more pronounced in Wave A due to its larger amplitude. In contrast, the regions of destructive interference in Wave B will have a smaller impact because of its smaller amplitude.
In other words, the destructive interference between waves with different amplitudes will result in a resultant wave with diminished overall amplitude, but the specific pattern and depth of destructive interference will be influenced by the relative amplitudes of the waves involved.