Why do short wavelengths have high frequencies?

Wavelength and frequency are inversely related so that longer waves have lower frequencies, and shorter waves have higher frequencies .

The electromagnetic spectrum ranges from gamma (γ) radiation , which has the shortest wavelength, highest frequency, and greatest energy, to radio waves, which has the longest wavelength and lowest frequency and energy.

So, if the wavelength of a light wave is shorter, that means that the frequency will be higher because one cycle can pass in a shorter amount of time . This means that more cycles can pass by the set point in 1 second.