If the amplitude of a wave increases while the period remains constant, the wavelength of the wave will not change. The wavelength of a wave is defined as the distance between two consecutive points in phase, such as two peaks or two troughs. It is typically represented by the Greek letter lambda (λ).
The amplitude of a wave refers to the maximum displacement or distance from the equilibrium position of the wave. It represents the intensity or magnitude of the wave. Increasing the amplitude of a wave does not affect its wavelength.
To illustrate this, imagine a wave traveling along a rope. If you increase the amplitude of the wave, you are essentially increasing the maximum height of the peaks and the depth of the troughs, but the distance between the peaks or troughs—the wavelength—remains the same.
In summary, changing the amplitude of a wave while keeping the period constant will not alter the wavelength of the wave.