Yes, two waves can have the same wavelength and frequency while having different amplitudes and phases. The amplitude of a wave refers to the maximum displacement or height of the wave from its equilibrium position, while the phase represents the position of the wave in its cycle at a given time.
Wavelength and frequency are related properties of a wave, where wavelength (λ) is the distance between two corresponding points on the wave, and frequency (f) is the number of complete cycles or oscillations of the wave per unit of time. If two waves have the same wavelength and frequency, it means they have the same spatial and temporal characteristics.
However, the amplitudes of the waves can differ. One wave may have a larger maximum displacement from its equilibrium position (greater amplitude) compared to the other wave. This difference in amplitude indicates that the waves carry different amounts of energy or have different magnitudes.
Additionally, the waves can have different phases, which refers to the relative position of the wave in its cycle at a given time. For example, one wave might reach its maximum displacement (peak) earlier or later than the other wave. This phase difference results in a shift in the starting position of the wave or the timing of its oscillations.
So, even though two waves may share the same wavelength and frequency, their amplitudes and phases can differ, leading to variations in their magnitudes and temporal positions.