The relationship between the wavelength of light and the quantity of energy per photon is inversely proportional. In other words, as the wavelength of light decreases, the energy per photon increases, and vice versa.
This relationship is described by the equation:
E = hc/λ
where: E is the energy of a photon, h is Planck's constant (approximately 6.626 x 10^(-34) joule-seconds), c is the speed of light (approximately 299,792,458 meters per second), λ (lambda) is the wavelength of light.
From this equation, we can see that as the wavelength (λ) of light decreases, the energy (E) per photon increases. This means that light with shorter wavelengths, such as gamma rays or X-rays, carries more energy per photon compared to light with longer wavelengths, such as radio waves or infrared radiation.
Conversely, light with longer wavelengths has lower energy per photon. For example, red light has longer wavelengths and carries less energy per photon compared to violet light, which has shorter wavelengths and higher energy per photon.
It's important to note that the energy of light is quantized in discrete units called photons. The energy of each photon is determined by the frequency or wavelength of the light. Thus, the energy per photon is directly related to the frequency (or inversely related to the wavelength) of light.