The wavelengths of colors are inversely related to their frequency and directly related to their energy. This relationship is described by the equation:
c = λν
where: c is the speed of light (a constant approximately equal to 299,792,458 meters per second), λ (lambda) is the wavelength of the light, ν (nu) is the frequency of the light.
From this equation, we can see that as the wavelength (λ) of light decreases, the frequency (ν) increases, and vice versa. This means that colors with shorter wavelengths have higher frequencies, while colors with longer wavelengths have lower frequencies.
Additionally, according to the wave-particle duality of light, the energy (E) of a photon of light is directly proportional to its frequency (ν). This relationship is given by the equation:
E = hν
where: E is the energy of the photon, h is Planck's constant (a fundamental constant approximately equal to 6.626 x 10^(-34) joule-seconds), ν is the frequency of the light.
From this equation, we can deduce that colors with higher frequencies (shorter wavelengths) have higher energy photons, while colors with lower frequencies (longer wavelengths) have lower energy photons.
Therefore, there is a direct relationship between the energy and frequency of light, as well as an inverse relationship between the wavelength and frequency of light.