4. If a 2 mm thick plate of material transmits 70% of the incident light, what percentage will be transmitted by a 0.5 mm thick plate?

A certain solution at concentration X absorbs 16.67% of the light passing through it. If Beer’s law holds (A = εbc), what percentage of the light would be transmitted at concentration 2A, other conditions being the same?

Determine the intensity transmittance through a thin planar air gap of width d=λ/2 surrounced by glass of refractive index n=1.5. Assume the light is incident on the air gap at normal incidence. If the thickness of the air gap is changed to λ/4 does the transmittance increase or decrease? (HINT: Find the appropriate transfer matrix!)

(a) When a UV spectrophotometer reports an absorbance of 1.0, what percent of the incident UV light is absorbed by the sample? (b) What percent of the incident light is absorbed when A = 2.0? (c) When A = 0.5?