Nanoparticles can scatter light in distinctive ways due to their size and composition. Rayleigh scattering occurs when the particles are much smaller than the wavelength of light, leading to scattered light that is more intense at shorter wavelengths. For larger nanoparticles, Mie scattering becomes significant, where the scattered light can be comparable in intensity to the incident light. These scattering properties are exploited in applications like optical coatings and display technologies.