Here's why:
* The relationship: The relationship between frequency (f) and wavelength (λ) is inversely proportional. This means that as one increases, the other decreases. This relationship is described by the following equation:
* c = fλ
Where:
* c is the speed of the wave (a constant for a given medium)
* f is the frequency
* λ is the wavelength
* Explanation: Imagine a wave moving through a medium. The frequency represents how many wave crests pass a point per second. If the frequency increases, more crests are passing by in the same amount of time. To accommodate this, the distance between each crest (wavelength) must decrease.
Example:
* High frequency sound waves: Have a short wavelength, which is why they can travel through smaller spaces and create high-pitched sounds.
* Low frequency sound waves: Have a long wavelength, which is why they can travel through larger spaces and create low-pitched sounds.
* Visible light: Red light has a longer wavelength than violet light. This is why red light has a lower frequency and a lower energy than violet light.
Let me know if you'd like to explore this further!