Here's why:
* Longitudinal waves are waves where the particles of the medium vibrate parallel to the direction the wave travels. Think of a slinky – when you push one end, the coils bunch up (compression) and then spread out (rarefaction).
* Amplitude is the maximum displacement of a particle from its resting position.
* In a longitudinal wave, compression represents the areas where particles are close together, and rarefaction represents areas where particles are far apart.
So, if particles are far apart, it means we are in a rarefaction region. The greater the distance between particles in the rarefaction region, the higher the amplitude of the wave.
Let me know if you have more questions about waves!