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11.14. ne of the problems with glass lenses is that the index of refraction of glass depends on frequency. Thus. according to the lens maker's formula, the focal length of a glass lens will depend of frequency, and that is not good. because if one color is focused sharply. the others will be fuzzy. This is called \"chromatin: aberration." Fortunately. different kinds of glass have different behavior in this respect. and this makes it possible to eliminate chromatic aberration. Suppose that you make a lens that looks like this by gluing together lenses made of two different types of glass. glass 1 glass 2 radius r1 . Suppose that the indiees of refraction of the two glasses are radius rs a1{s}=n'f+a1a. ng{s)=a3+ags. tints} What relation must be satised if the compound lens is to have a focal lengdi that is indepen- dent of A