The transmission of light through a transparent solid can be described by theequation:IT

Chapter 8, Problem 32

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The transmission of light through a transparent solid can be described by theequation:IT = Io(l - R)2e-l3Lwhere Ir is the transmitted intensity, I0 is the intensity of the incident beam,B is the absorption coefficient, L is the length of the transparent solid, and R isthe fraction of light which is reflected at the interface. If the light is normal tothe interface and the beams are transmitted through air, R = (: D 2wheren is the index of refraction for the transparent solid. Experiments measuringthe intensity of light transmitted through specimens of a transparent solid ofvarious lengths are given in the following table. The intensity of the incidentbeam is 5 watts/m2.L(cm) 0.5 1.2 1.7 2.2 4.5 6.0I r ( watts/m2) 4.2 4.0 3.8 3.6 2.9 2.5Use this data and curve fitting to determine the absorption coefficient andindex of refraction of the solid.