Final answer:
The mathematical relationship between frequency, wavelength, and wave speed is v = f * λ, where v is the wave speed, f is the frequency, and λ is the wavelength. This equation allows us to calculate the wave speed if we know the frequency and wavelength, or vice versa. The relationship holds true for all types of waves.
Step-by-step explanation:
The mathematical relationship between frequency, wavelength, and wave speed can be expressed as follows: the speed of a wave equals the product of its frequency and wavelength. Mathematically, this can be represented as v = f * λ, where v is the wave speed, f is the frequency, and λ is the wavelength.
For example, let's say we have a wave with a frequency of 10 Hz and a wavelength of 2 meters. By using the equation v = f * λ, we can determine that the wave speed is 20 meters per second.
Similarly, if we know the wave speed and either the frequency or wavelength, we can use the equation to find the missing value. This relationship holds true for all types of waves, including sound waves, light waves, and electromagnetic waves.