* Higher frequency = shorter wavelength
* Lower frequency = longer wavelength
Here's why:
* Frequency: The number of wave cycles (crests or troughs) passing a fixed point per second. Measured in Hertz (Hz).
* Wavelength: The distance between two consecutive crests or troughs of a wave. Measured in meters (m).
Imagine a wave as a series of ripples in a pond. If you make the ripples closer together (shorter wavelength), you'll have more ripples passing a point each second (higher frequency). Conversely, if the ripples are further apart (longer wavelength), fewer will pass a point each second (lower frequency).
The relationship is defined by the following formula:
v = fλ
Where:
* v is the speed of the wave (constant for a given medium)
* f is the frequency
* λ is the wavelength
This formula tells us that if the speed of the wave remains constant, a higher frequency results in a shorter wavelength, and vice versa.
Example:
* Light waves travel at the speed of light (c), approximately 299,792,458 meters per second.
* Red light has a lower frequency than blue light.
* Therefore, red light has a longer wavelength than blue light.
