Work your way through an argument using dimensional analysis to establish the -4 dependence of the percentage of light scattered in Rayleigh Scattering. Let

Work your way through an argument using dimensional analysis to establish the λ^-4 dependence of the percentage of light scattered in Rayleigh Scattering. Let E_0i and E_0s be the incident and scattered amplitudes, the latter at a distance r from the scatterer. Assume E_0s ∝ E_0i and E_0s ∝ 1/r. Furthermore, plausibly assume that the scattered amplitude is proportional to the volume, V, of the scatterer; within limits this is reasonable. Determine the units of the constant of proportionality.