63 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.

63 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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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63 In Fig. 33-60, light enters a 90° triangular prism at point P with inci- dent angle 0, 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 0? (b) What, numerically, Air Q Figure 33-60 Problem 63. 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?
The critical angle for an air-glass interface is 29.4°. When a light ray in air is incident on the interface, the reflected ray is 100% polarized. What is the angle of refraction of that ray in degrees? (numerical answer only with 3 sig figs please)
If light in air with a wavelength of 760 nm is incident upon a piece of quartz (n = 1.54) at an angle of 60°.(A) What is the angle of refraction? (B) what is the speed and frequency of this light in the quartz?
The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n 1.08.) n = 1,60 n = 1.40 n = 1.20 (a) If 0, = 20.0°, what is the angle 0, of the emerging beam? (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium with n. = 1.08?
The critical angle for an air-glass interface is 29.2°. When a light ray in air is incident on the interface, the reflected ray is 100% polarized. What is the angle of refraction of that ray in degrees? (numerical answer only with 3 sig figs please)
..54 Dispersion in a window pane. In gle e Fig. 33-54, a beam of white light is incident at an- 50° on a common window pane (shown in cross section). For the pane's type of glass, the index of refraction for visible light ranges from 1.524 at the blue end of the spectrum to 1.509 at the red end. The two sides of the pane are paral- lel. What is the angular spread of the colors in the beam (a) when the light enters the pane and (b) when it emerges from the opposite side? (Hint: When you look at an object through a window pane, are the colors the light from the object dispersed as shown in, say, Fig. 33-20?) = Ꮎ Figure 33-54 Problem 54.
10. 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.
The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n. 1.08.) n = 1.60 n = 1.40 n = 1.20 (a) If 01 36.0°, what is the angle 0, of the emerging beam? %D (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium withn, = 1.08?
A flat piece of glass covers the top of a vertical cylinder that is completely filled with water. If a ray of light traveling in the glass is incident on the interface with the water at an angle of θa = 36.2°, the ray refracted into the water makes an angle of 49.8o with the normal to the interface. What is the smallest value of the incident angle ua for which none of the ray refracts into the water?
Laser light is passed through a angle of incidence in air of 0₁ rod made out of a material with an index of refraction of 1.63, a length L = 45.0 cm, and square cross section of length h = 3.00 mm on a side as shown in the figure. If the light enters at the center of the rod with an 47.5°, determine the number of total internal reflections before it emerges from the opposite end of the rod. 42.0 cm T 3.10 mm
Light coming from a fish makes an incidence angle of 30° to normal under the water. The index of refraction of water is 1.33. A fisherman is looking at the fish through air. At what angle with the normal (6, ) will the fish appear to the fisherman? Use Snell's law: n, sin e, = n, sine,
A beam of white light is incident on a slab of dense flint glass at an angle of incidence of 60°. Flint glass, as with most materials, displays a dispersion where the refractive index is a function of the wavelength of incident light. We can often write this dispersion using the Cauchy relation n(2)=A+B^(-2). For the case of Flint glass, A = 1.728, and B = 0.01342 µm2. What is the difference in angle of the refracted beam between blue light of wavelength 400 nm, and red light of wavelength 700 nm?