Here's why:
* Speed of Sound: The speed of sound is primarily determined by the properties of the medium it travels through. This includes factors like temperature, density, and elasticity.
* Frequency vs. Wavelength: Frequency and wavelength are related, but distinct concepts. Frequency refers to how many sound wave cycles pass a point per second. Wavelength is the distance between two consecutive peaks or troughs of the sound wave.
* Relationship: The speed of sound is the product of frequency and wavelength (speed = frequency * wavelength). While the speed of sound remains constant in a given medium, changes in frequency will result in corresponding changes in wavelength to maintain this relationship.
Example:
Imagine a sound wave traveling through air. If you increase the frequency of the sound wave (making it higher pitched), the wavelength will decrease to maintain the same speed of sound. Similarly, if you decrease the frequency (making it lower pitched), the wavelength will increase.
In summary:
The speed of sound in a medium is constant for a given temperature and pressure. Changing the frequency of the sound wave will change its wavelength, but not its speed.
