In your spare-time job as an assistant museum curator, you are thinking about glare (light reflection) off the glass covering the artwork. You want to apply a thin coating to reduce the glare by destructive interference between the light reflected from the coating, and the light from the glass. Assume the glass has an index of refraction of n=1.62 and the coating is titanium dioxide (TiO2) with n=2.62. a) What are the three smallest thicknesses of coating you could use for light of λ=460 nm (fluorescent lights)? Assume perpendicular incidence. b) If your boss decides to change the lighting to a reddish colour (λ=575 nm), which of the above values of thickness will still provide the anti-glare coating you want?