Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 76P
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Polarized light is incident on 7 polarizing sheets. the axis of the first polarized sheet makes an agle theta with the plane of polarization. each subsequent sheet has an axis that is rotated by an angle theta from that of adjacent sheets. find theta if 91% of the incident intensity is transmitted by the sheets.
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Chapter 31 Solutions
Physics for Scientists and Engineers
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- 77 E Rainbow. Figure 33-67 shows a light ray entering and then leaving a falling, spherical raindrop after one internal reflec- tion (see Fig. 33-21a). The final direction of travel is deviated (turned) from the initial direction of travel by angular deviation Bdev- (a) Show that 6sey is Odey = 180° + 20, – 48, where e, is the angle of incidence of the ray on the drop and 0, is the angle of refraction of the ray within the drop. (b) Using Snell's law, substitute for 6, in terms of 6, and the index of refraction n of the water. Then, on a graphing calculator or with a computer graphing package, graph Osey versus 0, for the range of possible 6; values and for n = 1.331 for red light (at one end of the visible spectrum) and n = 1.333 for blue light (at the other end). The red-light curve and the blue-light curve have different minima, which means that there is a different angle of minimum deviation for each color. The light of any given color that leaves the drop at that color's angle of…arrow_forward..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.arrow_forwardBrewster plates are used in laser cavities to polarize the light with the smallest amount of power loss possible (see figure). Suppose the laser cavity is filled with air (n = 1) and the Brewster's plate is made of glass (ng = 1.45). Part (a) What is the angle the normal to the plate must make with respect to the laser beam, θB, if the polarization of the reflected light is maximized? Answer in radians. Part (b) If instead this were a dye laser, whose cavity is filled with a liquid solution with ns = 1.3. What is the angle, θB, in radians?arrow_forward
- Brewster plates are used in laser cavities to polarize the light with the smallest amount of power loss possible (see figure). Suppose the laser cavity is filled with air (n = 1) and the Brewster's plate is made of glass (ng = 1.47). (a) What is the angle the normal to the plate must make with respect to the laser beam, θB, if the polarization of the reflected light is maximized? Answer in radians. (b) If instead this were a dye laser, whose cavity is filled with a liquid solution with ns = 1.3. What is the angle, θB, in radians?arrow_forward63 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?arrow_forwardTitle A parallel polarized beam of light with an electric field Description A parallel polarized beam of light with an electric field amplitude of 10 (V/m) is incident in air on polystyrene with ur = 1 and ?r = 2:6. If the incidence angle at the air-polystyrene planar boundary is 50_, determine (a) The reflectivity and transmissivity, and (b) The power carried by the incident, reflected, and transmitted beams if the spot on the boundary illuminated by the incident beam is 1 m2 in area.arrow_forward
- Brewster plates are used in laser cavities to polarize the light with the smallest amount of power loss possible (see figure). Suppose the laser cavity is filled with air (n = 1) and the Brewster's plate is made of glass (ng = 1.4). Part (a) What is the angle the normal to the plate must make with respect to the laser beam, θB, if the polarization of the reflected light is maximized? Answer in radians. θB = Part (b) If instead this were a dye laser, whose cavity is filled with a liquid solution with ns = 1.3. What is the angle, θB, in radians? θB =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_forward106 In Fig. 33-78, where n, = 1.70, n2 = 1.50, and nz = 1.30, light re- %3D fracts from material 1 into material 2. If it is incident at point A at the critical angle for the interface be- tween materials 2 and 3, what are (a) the angle of refraction at point B and (b) the initial angle 0? If, in- stead, light is incident at B at the critical angle for the interface between materials 2 and 3, what are (c) the angle of refraction at point A and (d) the initial angle e? If, instead of all that, light is incident at point A at Brewster's angle for the interface between materials 2 and 3, what are (e) the angle of refraction at point B and (f) the initial angle 6? Figure 33-78 Problem 106.arrow_forward
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