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Yes, it is possible for two waves to have the same wavelength but different frequencies, as well as the same frequency but different wavelengths.

Wavelength and frequency are two distinct properties of a wave. Wavelength refers to the distance between two consecutive points in phase, while frequency represents the number of complete cycles or oscillations of the wave that occur per unit of time.

If two waves have the same wavelength but different frequencies, it means that they complete one full oscillation over the same distance, but at different rates. One wave would have a higher frequency (more oscillations per unit of time) while the other wave would have a lower frequency (fewer oscillations per unit of time). This can be visualized as waves of the same shape, but one wave is compressed (higher frequency) while the other is stretched out (lower frequency).

Similarly, if two waves have the same frequency but different wavelengths, it means that they complete one full oscillation at the same rate, but over different distances. One wave would have a shorter wavelength (shorter distance between points in phase) while the other wave would have a longer wavelength (longer distance between points in phase). In this case, the waves would appear to have different shapes or patterns, but they would repeat themselves over the same period of time.

In summary, wavelength and frequency are independent properties of a wave, and it is possible for two waves to have the same wavelength but different frequencies, as well as the same frequency but different wavelengths.

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