Here's why:
* The Relationship: Frequency and wavelength are inversely proportional. This means that as one increases, the other decreases proportionally.
* The Equation: This relationship is described by the following equation:
* c = fλ
* where:
* c = the speed of light (a constant)
* f = frequency
* λ = wavelength
* The Logic: If you increase the frequency (f) and keep the speed of light (c) constant, the wavelength (λ) must decrease to maintain the equality.
Example:
* If the original frequency is 1 Hz and the wavelength is 1 meter, then the speed of light is 1 meter per second.
* If the frequency is tripled to 3 Hz, the wavelength must decrease to 1/3 meter (or 0.33 meters) to keep the speed of light constant at 1 meter per second.