Is the extent of displacement of a vibrating tuning fork related to the resulting sound wave characteristic of amplitude?

Yes, the extent of displacement of a vibrating tuning fork is directly related to the amplitude of the resulting sound wave. A greater displacement leads to a larger amplitude, which corresponds to a louder sound. Conversely, smaller displacements produce lower amplitudes and quieter sounds. Thus, amplitude is a key characteristic that reflects the intensity of the sound produced by the tuning fork.