* The Relationship: Wavelength and frequency are inversely proportional. This means as one increases, the other decreases.
* The Equation: The relationship is defined by the following equation:
c = λf
where:
* c is the speed of light (or the speed of the wave in the medium)
* λ (lambda) is the wavelength
* f is the frequency
* The Logic: If you have a shorter wavelength (λ), to keep the speed (c) constant, the frequency (f) must be higher. Imagine a wave like a series of peaks and troughs. If you squeeze those peaks and troughs closer together (shorter wavelength), you have to create more of them in the same amount of time (higher frequency).
Example:
* Radio waves have very long wavelengths and low frequencies.
* Gamma rays have very short wavelengths and very high frequencies.
This relationship applies to all types of waves, including electromagnetic waves (like light), sound waves, and water waves.
