Yes, two waves can have the same amplitude but different frequencies. The amplitude of a wave refers to the maximum displacement or intensity of the wave, while the frequency represents the number of complete cycles or oscillations of the wave that occur in one second. These two properties are independent of each other.
For example, consider two waves: one with a high frequency and the other with a low frequency. If both waves have the same amplitude, it means that the maximum displacement or intensity of both waves is the same. However, since they have different frequencies, they will have different numbers of oscillations or cycles per second.
To visualize this, imagine two waves on a graph. The wave with the higher frequency will have more cycles squeezed into a given time period compared to the wave with the lower frequency. However, both waves can have the same height or intensity at their peaks, indicating the same amplitude.
In summary, the amplitude of a wave relates to its intensity, while the frequency determines how often the wave oscillates or cycles per unit of time. These two characteristics can vary independently of each other, allowing waves with the same amplitude to have different frequencies.