A narrow beam of parallel light rays is incident on a glass sphere from the left, directed toward the center of the sphere. (The sphere is a lens but certainly not a thin lens.) Approximate the angle of incidence of the rays as 0degree, and assume that the index of refraction of the glass is n < 2.0. (a) In terms of n and the sphere radius r, what is the distance between the image produced by the sphere and the right side of the sphere? (b) Is the image to the left or right of that side?

A thick-walled wine goblet can be considered to be a hollow glass sphere with an outer radius of 4.10 cmcm  and an inner radius of 3.60 cmcm. The index of refraction of the goblet glass is 1.50. (a) A beam of parallel light rays enters the side of the empty goblet along a horizontal radius. Where, if anywhere, will an image be formed? (b) The goblet is filled with white wine (nn = 1.37). Where is the image formed? Use the image from the previous part as the object for the second surface (the inner wall of the same side of the goblet) and find the position of the second image. Express your answer with the appropriate units.

The kitten, Simba (Fig. A) and the kitten, Bella (Fig. B) are inspecting a goldfish swimming inside a round aquarium filled with water (nwater = 1.33). The magnitude of the radius of the round surface of the aquarium is 16 cm. The kittens are in air (nair=1.00). In order to calculate the apparent depth of the fish as viewed by the kittens, you need to use the equation shown in Fig. C. Identify the following (Please note that I am not asking you to do the calculation) n₁ P Fig. A + n₂ 9 = (n₂-n₁) R Fig. C Fig. A: n₁ = Fig. B: n₁ = ; n₂ = _; n₂ = Fig. B ; R = ; R =

F: (a) In figure below, a beam of monochromatic light reflects and refracts at point A on the interface between material 1 with index of refraction n₁ = 1.77 and material 2 with index of refraction n₂ = 1.33. The incident beam makes an angle of 50° with the interface. What is the angle of reflection at point A? What is the angle of refraction there? (b) What is the angle of reflection at point B? What is the angle of refraction there? 50° e, ie A 18 721 Tho no ng Air A| 8₂0

Light rays in a material with index of refrection 1.39 can undergo total internal reflection when they strike the interface with another material at a critical angle of incidence. Find the second material's index of refraction n when the required critical angle is 73.3°. n =

A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction?   Calculate to 1decimal.