When the wave speed increases the wave stay the same to get the same standing wave pattern
Standing wave are the combination of two waves moving in opposite directions . Amplitude of both the waves is same and frequency is also same . The phenomenon is the result of interference
Wavelength and frequency are inversely related to each other .
frequency = c / wavelength
so if one get change then the other changes. As one get decrease other will increase and vise versa. . The speed of the wave depends on the medium. Change in the frequency of the wave changes its form to go into the next harmonic so the wavelength changes .Also in order to maintain the wave pattern the wavelength remain same
Hence , speed of wave will not affect the wavelength of wave.
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