You are working with the mineral fluorite (left(mathrm{CaF}_{2}, n_{text {fluorite }} ight.) (=1.43) ) and have a

You are working with the mineral fluorite \(\left(\mathrm{CaF}_{2}, n_{\text {fluorite }}\right.\) \(=1.43\) ) and have a sample that is coated with a layer of liquid \(158 \mathrm{~nm}\) thick. When you shine visible light of various wavelengths at normal incidence onto the surface of the liquid, you observe very strong reflection for green light \((\lambda=510 \mathrm{~nm})\), essentially zero reflection for red light \((\lambda=750 \mathrm{~nm})\), and intermediate levels of reflection for all wavelengths between the red and green extremes. What is the index of refraction of the liquid?