No, the wavelength of a sound wave is not affected by changes in the amplitude of the wave. The wavelength of a sound wave is determined by the frequency of the wave and the speed of sound in the medium through which it travels.
The wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, meaning they are at the same point in their respective cycles. It is commonly represented by the symbol lambda (λ). The formula relating wavelength (λ), frequency (f), and the speed of sound (v) is given by:
λ = v / f
where λ is the wavelength, v is the speed of sound, and f is the frequency.
The amplitude of a sound wave, on the other hand, refers to the magnitude or intensity of the pressure variations caused by the wave. It is unrelated to the wavelength and represents the extent of displacement from the equilibrium position of the particles in the medium through which the wave is propagating.
Therefore, changing the amplitude of a sound wave does not affect its wavelength.