When the wavelength of a wave decreases, the frequency increases. This relationship is inversely proportional. In other words, as the wavelength becomes shorter, the frequency becomes higher, and vice versa.
Mathematically, the relationship between wavelength (λ) and frequency (f) can be expressed as:
f = c / λ
Where:
- f is the frequency of the wave,
- c is the speed of light (or the speed of the wave in the given medium),
- λ is the wavelength of the wave.
From this equation, it can be observed that if the wavelength decreases (λ becomes smaller), the frequency (f) increases to maintain the constant speed of light (c). Similarly, if the wavelength increases, the frequency decreases to maintain the same speed of light.