physics
posted by derrick .
100 lumen of light are incident on an interface which has 25% reflectance. At a point 3cm into the new medium, the amount of transmitted light is measured as 50 lumen. What is the absorptance of the material per cm?

0.75 * exp(k*L) = 50/100 = 0.5
L = 3 cm
The 0.75 is the fraction that penetrates the surface.
Solve for k
exp(kL) = 0.667
kL = 0.4055
k = 0.135 cm^1