InterviewSolution
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InterviewSolution
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Scattering of light is a process of absorption and prompt re-emission of light by atoms and molecules. Scattering involving particles smaller than wavelength `(lamda)` of light is known as Rayleigh scattering. Let `a_(i)` be amplitude of incident light on a scatterer of volume V. The scattered amplitude at a distance r from the scatterer is `a_(s)`. Assume and `a_(s) alpha a_(i) , a_(s) alpha (1)/(r) and a_(s) alpha V`. (i) Find the dimensions of the proportionality constant occurring in the expression of `a_(s)` (ii) Assuming that this constant depends on `lamda`, find the dependence of ratio `(a_(s))/(a_(i))` on `lamda` (iii) Knowing that intensity of light `I alpha a^(2)` find the dependence of `(I_(s))/(I_(i))` on `lamda`. |
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Answer» Correct Answer - (i) `[k]=[L^(-2)]` (ii) `(a_(s))/(a_(i))prop lamda^(-2)` (iii) `(I_(s))/(I_(i))prop (a_(s)^(2))/(a_(i)^(2))prop lamda^(-4)` |
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