2)what is most essential condition for the scattering of light?
3)how is scattering different from dispersion?
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by scattering i understan you mean rayleigh scattering
1)so yes dust particals do scatter x rays
in fact any thing of radius of order wavelength/4 (approx) of radiation scatters it
it is totally different from dispersion as dispersion is scattering of white light in many colours while scattering is just bending f any light about a particle of size of order of its own wavelength or lesser