Yes, in general, shorter wavelength is associated with higher frequency.
In the electromagnetic spectrum, which encompasses all the different types of electromagnetic waves including visible light, the wavelength and frequency are inversely proportional to each other. This relationship is described by the equation:
c = λν
where c is the speed of light, λ (lambda) represents the wavelength, and ν (nu) represents the frequency.
Since the speed of light is constant, if the wavelength decreases, the frequency must increase in order to maintain the equation's balance. Therefore, when you encounter a shorter wavelength, it corresponds to a higher frequency, and vice versa.
For example, in the visible light spectrum, red light has a longer wavelength and a lower frequency compared to blue light, which has a shorter wavelength and a higher frequency. This relationship holds true for other regions of the electromagnetic spectrum as well, such as radio waves, microwaves, infrared, ultraviolet, X-rays, and gamma rays.