Yes, two waves on the same string can have different wavelengths, frequencies, speeds, and amplitudes. Let's look at each property individually:
Wavelength: The wavelength of a wave is the distance between two consecutive points that are in phase, such as two crests or two troughs. If two waves on the same string have different wavelengths, it means that the distance between corresponding points on the waves will vary. This can occur, for example, when waves of different frequencies are superimposed on the string.
Frequency: The frequency of a wave is the number of complete cycles or oscillations it completes per unit of time. If two waves on the same string have different frequencies, it means that they will have different numbers of oscillations or cycles in a given time period.
Speed: The speed of a wave refers to how quickly it propagates through a medium. It depends on the properties of the medium, such as its tension and density. Waves with different wavelengths, frequencies, or amplitudes can have different speeds on the same string.
Amplitude: The amplitude of a wave represents the maximum displacement or intensity of the wave from its equilibrium position. It determines the strength or intensity of the wave. Waves on the same string can have different amplitudes, meaning that they will have different magnitudes of displacement or intensity.
So, it is entirely possible for two waves on the same string to differ in any or all of these properties. The behavior of waves can be complex when they interact, leading to a variety of combinations and resulting waveforms.