How is frequency related to velocity and wavelength?

The relationship between frequency, velocity, and wavelength is defined by a fundamental equation in wave mechanics. It states that frequency is equal to the velocity of the wave divided by its wavelength. This can be expressed mathematically as:

Frequency (f) = Velocity (v) / Wavelength (λ)

This equation shows that as the wavelength increases (for a given velocity), the frequency decreases, and vice versa.

In a practical sense, this means that if you have sound waves traveling through the air, the speed at which they travel (velocity) is constant, but if the waves have a longer wavelength, they will have a lower frequency. Conversely, shorter wavelengths correspond to higher frequencies. This relationship is crucial in fields like acoustics, telecommunications, and various branches of physics, as it helps to understand how sound and electromagnetic waves behave.

The other options do not accurately represent this relationship, either by incorrectly mixing the mathematical operations or by incorrectly placing the variables.