What is the relationship between frequency and wavelength in a sound wave?

The relationship between frequency and wavelength in a sound wave is described by the equation that states wavelength is equal to the speed of sound divided by the frequency. This relationship stems from the fundamental properties of waves, where the speed at which sound travels in a medium (like air, water, or solids) is constant, and the frequency indicates how many cycles of the wave occur in a second. Therefore, when you divide the speed of sound by the frequency, you get the wavelength, which represents the distance between successive peaks or troughs of the wave.

Mathematically, this relationship is expressed as:

Wavelength = Speed of Sound / Frequency

This means if you know the speed of sound in a particular medium and the frequency of the sound wave, you can calculate the wavelength. This relationship is essential for understanding various applications in acoustics, audio engineering, and related fields where sound wave behavior is analyzed.