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(III) A light ray is incident on a flat piece of glass with index of refraction n as in Fig. 32–24. Show that if the incident angle θ is small, the emerging ray is displaced a distance
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- (1), A light wave is incident upon an air/glass (ZF13, n=1.78 @ 632.8 nm) interface at an angle of incidence 0-60°. The incident electric field can be described by: 8-(18+,+,) √√√3 e,+e, cos(at-k), where k = -- 2 The x, y and z directions are depicted in the Figure Ꮎ Air Glass (a) What fractions of the input power are in the TE and TM components, respectively, of the input wave? (b) What fraction of the incident wave power is transmitted?arrow_forward(1) In TM oblique incidence, the angle at which all the wave is transmitted to the second medium is called .... . angle.arrow_forwardFor problem 50(c), find the refracted angle in degrees if the index of refraction of material 3 is 2.00 and the angle of incidence is changed to 53.7 degrees!! (5 sig figs)arrow_forward
- (c) Unpolarized light in air is incident on a plastic surface. The angle between the reflected and refracted ray is 90°. The angle of incidence is 56°. (i) State the name related to the angle of incidence in this situation (iii) Calculate the refractive index of the plastic.arrow_forwardA ray of light is incident on a glass prism (n = 1.6) with an angle of incidence 0, emerges from the opposite side of the prism with an angle 0,. The apex angle of the prism is 60° The deviation angle, 8, between the incident ray and the emerging ray is then: = 40°. The ray 60° 0, = 40° Nair =1 O 21.7° O 51.3 O 44.5° 38.4 13.8arrow_forward(ii) In a certain experiment, light travels from air to water (refractiveindex = 1.33). At what angle of incidence is the reflected anglecompletely polarized?arrow_forward
- 109 In Fig. 34-54, a fish watcher at point P watches a fish through a glass wall of a fish tank. The watcher is level with the fish; the index of re- fraction of the glass is 8/5, and that Watcher of the water is 4/3. The distances are di = 8.0 cm, dz = 3.0 cm, and dz = 6.8 cm. (a) To the fish, how far away does the watcher appear to be? (Hint: The watcher is the object. Light from that object passes through the wall's outside surface, which acts as a refracting sur- face. Find the image produced by that surface. Then treat that im- age as an object whose light passes through the wall's inside sur- face, which acts as another refracting surface.) (b) To the watcher, how far away does the fish appear to be? de D Wall Figure 34-54 Problem 109.arrow_forward10. A light ray of given wavelength, initially in air, strikes a 90° prism at P (see Fig. 39-53) and is refracted there and at Q to such an extent that it just grazes the right-hand prism surface at Q. (a) Determine the index of retraction of the prism for this wavelength in terms of the angle of incidence , that gives rise to this situation. (b) Give a numerical upper bound for the index of refraction of the prism. Show, by ray dia- grams, what happens if the angle of incidence at P is (c) slightly greater or (d) slightly less than 0₁. 90 FIGURE 39-53. Problem 10.arrow_forwardProblem 2 . (III) A beam of light enters the end of an optic fiber as shown in Fig. 32-59. (a) Show that we can guarantee total internal reflection at the side surface of the material (at point A), if the index of refraction is greater than about 1.42. In other words, regardless of the angle a, the light beam reflects back into the material at point A, assuming air outside. FIGURE 32-59 Problem 66. A B L ident Air Transparent o dose materialarrow_forward
- (II) An aquarium filled with water has flat glass sides whose index of refraction is 1.54. A beam of light from outside the aquarium strikes the glass at a 43.5° angle to the perpendicular (Fig. 23–56). What is the angle of this light ray when it enters (a) the glass, and then (b) the water? (c) What would be the refracted angle if the ray entered the water directly? Glass Air Water 43.5° FIGURE 23-56 Problem 32.arrow_forward(i) State the laws of refraction of light. (ii) Write a relation between the angle of incidence (i), angle of emergence (e), angle of prism (A) and angle of deviation (d) for a ray of light passing through an equilateral prism.arrow_forward63 In Fig. 33-60, light enters a 90° triangular prism at point P with inci- dent angle 6, and then some of it refracts at point Q with an angle of refraction of 90°. (a) What is the in- dex of refraction of the prism in terms of 6? (b) What, numerically, is the maximum value that the index of refraction can have? Does light emerge at Q if the incident angle at P is (c) increased slightly and (d) decreased slightly? Figure 33-60 Problem 63.arrow_forward
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