Wavelengths and energy are inversely proportional to each other. This relationship is described by the equation:
Energy = (Planck's constant) × (speed of light) / wavelength
This equation is known as the Planck-Einstein relation or the energy-wavelength equation. It shows that as the wavelength of electromagnetic radiation increases, the energy decreases, and vice versa. In other words, shorter wavelengths correspond to higher energy, while longer wavelengths correspond to lower energy.
This relationship can be observed across the electromagnetic spectrum. For example, in the visible light spectrum, shorter wavelengths are associated with higher energy light such as blue and violet light, while longer wavelengths correspond to lower energy light such as red and orange light.