A thick-walled wine goblet can be considered to be a hollow glasssphere with an outer radius of 4.00 cm and an inner radius of 3.40 cm.The index of refraction of the goblet glass is 1.50. (a) A beam of parallellight rays enters the side of the empty goblet along a horizontal radius.Where, if anywhere, will an image be formed? (b) The goblet is filledwith white wine (n = 1.37). Where is the image formed?

A paperweight is made of a solid glass hemisphere of index of refraction 1.60. The radius of the circular cross section is 5.0 cm. The hemisphere is placed on its flat surface, with the center directly over a 2.0 mm long line drawn on a sheet of paper. What length of line is seen by someone looking vertically down on the hemisphere? answer in mm

An object is placed 10.1 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 8 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 25 mm from the center of the lens.

You are using a transparent tube as an optical fiber in open air (nair = 1.00). You have calculated that the critical angle for the fiber is 44.5°. (a)What is the index of refraction of your optical fiber? Nfiber (b) To make your fiber more durable, you encase it in a cladding with an index of refraction equal to ncladding 1.33. Will the beam be reflected into the fiber or will it leak into the cladding when the %3D incident angle inside the fiber is Oincident 59.7?