35. The transmission of light through a transparent solid can be described by the equation:

where is the transmitted intensity, is the intensity of the incident beam, is the absorption coefficient, L is the length of the transparent solid, and R is the fraction of light which is reflected at the interface. If the light is normal to the interface and the beams are transmitted through air, where n is the index of refraction for the transparent solid.

Experiments measuring the intensity of light transmitted through specimens of a transparent solid of various lengths are given in the following table. The intensity of the incident beam is 5 W/m2.

Use this data and curve fitting to determine the absorption coefficient and index of refraction of the solid.