The loupe (50 pts) a loupe is basically a magnifying lens used to magnify objects so that they become easier to see, gemologists use it to examine gems, photographers use it to view slide film. here we'll look at a cheap single lens system: a) (10) the lens is a double convex with radii of curvature of 20.8mm. the material is glass with index 1.82. what is the focal length (mm) of this lens? (15) you place a diamond (index of refraction=2.417) beneath the loupe and examine it. the top face of the diamond is located at 16.0mm away from the lens. what is its magnification? e) (15) draw a principal ray diagram for b) and clearly label the following: the lens, the object, the image, the p-ray, the o-ray, the f-ray, the focal length, the object distance, the image distance, the object height, and image height. d) (10) you noticed a small imperfection inside the diamond with your naked eye. it appears to be 0.2mm beneath the top facet. what is its real position?