How does rarefraction affects the frequency of waves ?

Rarefraction affecting frequency? It does not affect frequency, it affects very temporarily the density of air as air particles move apart, but immediately compress.

http://en.wikipedia.org/wiki/Rarefaction

Rarefactions occur at intervals of one wavelength, in the case of sound waves. They are part of the wave phenomenon itself and do not affect the frequency.

Rarefaction refers to the reduction in density and pressure of a medium, such as air or water, in a wave. In the context of waves, rarefaction has a direct influence on the frequency.

To understand this, we need to explore the relationship between frequency and wave propagation. The frequency of a wave refers to the number of complete oscillations or cycles it completes in one second. It is measured in hertz (Hz).

In a rarefaction, the particles in the medium are more spread out than they would be during a compression (areas of higher density and pressure in the wave). The rarefaction region essentially consists of particles that have moved away from each other, creating a region of relatively low density and pressure.

When a wave encounters a rarefaction, it experiences a decrease in density and pressure. This decrease in density leads to a decrease in the speed at which the wave propagates through the medium.

The wave equation is given by v = λf, where v is the velocity of the wave, λ (lambda) is the wavelength, and f (frequency). Since the velocity of the wave decreases in a rarefaction due to reduced density, the wavelength remains constant. As a result, the frequency of the wave decreases.

In simple terms, rarefaction affects the frequency of waves by reducing their speed of propagation, resulting in a decrease in frequency.