The speed of a sound wave is directly related to both its frequency and wavelength. The formula that describes this relationship is: speed (v) = frequency (f) x wavelength (λ). This means that if the speed of sound is constant, an increase in frequency will result in a decrease in wavelength, and vice versa.
Here’s a more detailed explanation:
Speed:
The speed of sound is the distance a sound wave travels in a given time. It’s measured in meters per second (m/s).
Frequency:
Frequency is the number of sound wave cycles (or vibrations) that occur in one second. It’s measured in Hertz (Hz), where 1 Hz is one cycle per second.
Wavelength:
Wavelength is the distance between two consecutive points on a wave that are in the same phase, such as two adjacent crests or troughs. It’s measured in meters (m).
Example:
If the speed of sound in air is 343 m/s, and the frequency is 100 Hz, the wavelength would be 343 m/s / 100 Hz = 3.43 m.
In essence:
A sound wave with a higher frequency will have a shorter wavelength (if the speed remains constant).
A sound wave with a lower frequency will have a longer wavelength (if the speed remains constant).