Yes, it is possible for two waves with different amplitudes but equal frequencies to be in phase with each other. The phase of a wave refers to the position of a point on the wave cycle at a given point in time. If two waves have the same frequency, it means that they complete one cycle in the same amount of time.
The amplitude of a wave refers to the maximum displacement or height of the wave. Two waves can have different amplitudes, meaning one wave has a larger maximum displacement than the other.
In the context of wave interference, waves can be in phase when the corresponding points on their cycles coincide with each other. This occurs when the waves have the same phase difference at a given time.
For example, let's consider two sinusoidal waves with equal frequencies. One wave has a larger amplitude than the other. If the peaks of both waves align, they are said to be in phase at that moment. Even though the amplitudes differ, the phase relationship is the same.
It's important to note that the amplitudes of the waves do not affect their phase relationship. Phase depends solely on the positions of corresponding points on the wave cycles at a given time, regardless of their amplitudes.