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Chapter 5: Q1DQ (page 1151)
A spherical mirror is cut in half horizontally. Will an image be formed by the bottom half of the mirror? If so, where will the image be formed?
Yes, the image will be formed by the bottom half of the mirror.
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Devise straightforward experiments to measure the speed of light in a given glass using (a) Snell鈥檚 law; (b) total internal reflection; (c) Brewster鈥檚 law
Young鈥檚 experiment is performed with light from excited helium atoms (= 502 nm). Fringes are measured carefully on a screen 1.20 m away from the double slit, and the center of the 20th fringe (not counting the central bright fringe) is found to be 10.6 mm from the center of the central bright fringe. What is the separation of the two slits?
The Lens of the Eye: The crystalline lens of the human eye is a double-convex lens made of material having an index of refraction of 1.44 (although this varies). Its focal length in air is about 8.0 mm, which also varies. We shall assume that the radii of curvature of its two surfaces have the same magnitude. (a) Find the radii of curvature of this lens. (b) If an object 16 cm tall is placed 30.0 cm from the eye lens, where would the lens focus it and how tall would the image be? Is this image real or virtual? Is it erect or inverted? (Note: The results obtained here are not strictly accurate because the lens is embedded in fluids having refractive indexes different from that of air.)
(a) Prove that when two thin lenses with focal lengths and are placed in contact, the focal length 茠 of the combination is given by the relationship (b) A converging meniscus lens (see Fig. 34.32a) has an index of refraction of 1.55 and radii of curvature for its surfaces of magnitudes 4.50 cm and 9.00 cm. The concave surface is placed upward and filled with carbon tetrachloride , which has n = 1.46. What is the focal length of the -glass combination?
Curvature of the Cornea: In a simplified model of the human eye, the aqueous and vitreous humors and the lens all have a refractive index of 1.40 , and all the bending occurs at the cornea, whose vertex is 2.60 cm from the retina. What should be the radius of curvature of the cornea such that the image of an object 40 cm from the cornea鈥檚 vertex is focused on the retina?
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