* Wavelength (λ): The distance between two consecutive crests or troughs of a wave. It's typically measured in meters (m) or nanometers (nm) for light waves.
* Speed (v): How fast the wave travels through a medium. It's measured in meters per second (m/s).
* Frequency (f): The number of wave cycles that pass a fixed point per second. It's measured in Hertz (Hz), where 1 Hz = 1 cycle per second.
The Relationship:
The key equation connecting these three is:
v = fλ
This means:
* Speed (v) is directly proportional to frequency (f). If the frequency increases, the speed of the wave also increases, assuming the wavelength remains constant.
* Speed (v) is directly proportional to wavelength (λ). If the wavelength increases, the speed of the wave also increases, assuming the frequency remains constant.
* Frequency (f) and wavelength (λ) are inversely proportional. If the frequency increases, the wavelength decreases, and vice versa, assuming the speed remains constant.
Example:
Imagine a rope tied to a post. If you shake the rope faster (increase frequency), the waves will travel closer together (shorter wavelength). If you shake the rope slower (decrease frequency), the waves will spread further apart (longer wavelength). The speed of the wave along the rope depends on the tension and density of the rope itself.
Important Notes:
* This relationship holds true for all types of waves.
* The speed of light in a vacuum is a constant, approximately 3 x 10^8 m/s. This means that changes in frequency and wavelength are inversely proportional for light waves.
* The speed of sound in air is also a constant at room temperature, but it changes with temperature and the medium it travels through.
Understanding this fundamental relationship is crucial for comprehending various wave phenomena, from the colors of rainbows to the Doppler effect.
