Yes, it is possible for two waves to have the same amplitude but different frequencies. The amplitude of a wave refers to the magnitude or strength of the oscillations in the wave. It determines the maximum displacement of particles in a medium or the maximum intensity of a wave.
The frequency of a wave, on the other hand, refers to the number of complete cycles or oscillations the wave completes in a given time. It is usually measured in units of hertz (Hz) and represents the rate at which the wave repeats its pattern.
Amplitude and frequency are independent properties of a wave. So, two waves can have the same amplitude, meaning they have the same maximum displacement or intensity, but differ in their frequencies. This would imply that one wave completes more cycles or oscillations in a given time compared to the other.
For example, consider two sine waves with the same amplitude but different frequencies. One wave could oscillate more rapidly, completing more cycles in a given time, while the other wave could oscillate more slowly, completing fewer cycles in the same time. Both waves would have the same maximum displacement or intensity at their peaks and troughs, but their frequencies would differ.
In summary, amplitude and frequency are separate characteristics of a wave, and it is possible for two waves to have the same amplitude while having different frequencies.