(Solved): In the figure below, a glass lens is coated on one side with a thin film of magnesium fluoride \( ...

In the figure below, a glass lens is coated on one side with a thin film of magnesium fluoride \( \left(\mathrm{MgF}_{2}\right. \) ) to reduce reflection from the lens surface. The index of refraction of \( \mathrm{MgF}_{2} \) is \( 1.38 \); that of the glass is 1.50. Assume that the coating minimizes the reflection of light of wavelength \( 586 \mathrm{~nm} \) at normal incidence. By what percentages is reflection diminished by the coating at (a) \( 486 \mathrm{~nm} \) and (b) \( 686 \mathrm{~nm} \) ? (a) Number Units (b) Number Units