* Frequency (f): The number of wave cycles that pass a fixed point in one second. Measured in Hertz (Hz).
* Velocity (v): The speed at which the wave travels through a medium. Measured in meters per second (m/s).
* Wavelength (λ): The distance between two consecutive crests or troughs of a wave. Measured in meters (m).
The fundamental relationship:
v = fλ
This equation tells us:
* Velocity is directly proportional to frequency: If the frequency increases, the velocity of the wave also increases, assuming the wavelength remains constant.
* Velocity is directly proportional to wavelength: If the wavelength increases, the velocity of the wave also increases, assuming the frequency remains constant.
Important Considerations:
* Medium: The velocity of a wave is influenced by the medium it travels through. For example, sound travels faster in solids than in liquids or gases.
* Type of Wave: The relationship between frequency, velocity, and wavelength holds true for all types of waves (mechanical, electromagnetic, etc.).
Example:
Let's say a wave has a frequency of 10 Hz and a wavelength of 2 meters. Using the formula, we can calculate its velocity:
v = fλ = 10 Hz * 2 m = 20 m/s
Therefore, the wave is traveling at a speed of 20 meters per second.
In summary: Frequency and velocity are directly proportional, but their relationship is dependent on the wavelength of the wave.
