Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 37, Problem 18SP
A narrow beam of light is traveling within a large block of sodium chloride (NaCl) that is immersed in air. The beam strikes the flat crystal-air interface making an angle of 25.0° At what angle does the beam emerge into the surrounding air? [Hint: Check out Table 37-1. Here
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In the figure, light from ray A refracts from material 1 (n1 = 1.60) into a thin layer of material 2 (n2 = 1.80), crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 (n3 = 1.3). (a) What is the value of incident angle θA? (b) If θA is decreased, does part of the light refract into material 3?
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A light ray strikes a hexagonal ice crystal floating in the air at a 30° angle to one face, as shown below. The hexagonal faces of the crystal are perpendicular to the plane of the page. All the rays shown are in the plane of the page, and nice = 1.30.
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Chapter 37 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 37 - Prob. 13SPCh. 37 - Prob. 14SPCh. 37 - 37.15 [I] A beam of light strikes the surface of...Ch. 37 - 37.16 [I] A laser beam is incident in air on the...Ch. 37 - 37.17 [I] A beam of light is incident on the flat...Ch. 37 - 37.18 [I] A narrow beam of light is traveling...Ch. 37 - 37.19 [I] A block of lanthanum flint glass is...Ch. 37 - 37.20 [I] A thick layer of olive oil, having an...Ch. 37 - 37.21 [I] A thick layer of olive oil, having an...Ch. 37 - 37.22 [I] The critical angle for light passing...
Ch. 37 - 37.23 [I] What is the critical angle when light...Ch. 37 - 37.24 [I] A thick layer of olive oil, having an...Ch. 37 - 37.25 [I] A block of polystyrene is covered by a...Ch. 37 - 37.26 [I] A block of clear ice sits on top of a...Ch. 37 - 37.27 [II] The absolute indices of refraction of...Ch. 37 - 37.28 [II] A pool of water is 60 cm deep. Find...Ch. 37 - 37.29 [III] In a vessel, a layer of benzene 6 cm...Ch. 37 - 37.30 [II] A mirror is made of plate glass 1.0 cm...Ch. 37 - 37.31 [II] A straight rod is partially immersed in...Ch. 37 - 37.32 [II] The index of refraction for a certain...
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- A light ray enters a material from air at at an angle of incidence of 30.0°. The ray continues traveling within the material at an angle of 23.0° to the normal. What is the critical angle for this material when it is surrounded by air? (nair = 1.0) 51.4° 48.4° 36.1° 53° O 54.2°arrow_forwardIn Figure (a), a beam of light in material 1 is incident on a boundary at an angle of 28° The extent to which the light is bent due to refraction depends, in part, on the index of refraction n2 of material 2. Figure (b) gives the angle of refraction 02 versus n2 for a range of possible n2 values, from n, = 1.36 to n, = 1.94. What is the speed of light in material 1? 38° 28 28 18 na (a) (b) Number i ! Units m/sarrow_forwardA ray of light in glass strikes a water-glass interface at an angle of incidence equal to one-third the critical angle for that interface. The index of refraction for water is 1.33, and for the glass it is 1.43. What angle does the refracted ray in the water make with the normal? O 37.0° O 57.5° O 24.6° O 42.3° 32.2⁰arrow_forward
- 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?arrow_forwardA light ray incident on a water-air interface is at an angle 17o from the normal (nw = 1.33). What angle does the refracted ray make with the normal?arrow_forwardA narrow beam of light is incident from air onto a polystyrene surface with index of refraction 1.49. Find the angle of incidence for which the corresponding angle of refraction is one-half the angle of incidence. (Hint: You might want to use the trigonometric identity sin (20) = 2 sin(0) cos(0).)arrow_forward
- 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?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_forwardA ray of light strikes the midpoint of one face of an equiangular (60°-60°-60°) glass prism (n = 1.5) at an angle of incidence of 34º. (a) Trace the path of the light ray through the glass and find the angles of incidence and refraction at each surface. First surface: incidence refraction 0 Second surface: 0. incidence refraction = Need Help? = = = O Read It O (b) If a small fraction of light is also reflected at each surface, what are the angles of reflection at the surfaces? Ө ° (first surface) e reflection. reflection= ° (second surface) O O Master Itarrow_forward
- In Figure (a), a beam of light in material 1 is incident on a boundary at an angle of 28°. The extent to which the light is bent due to refraction depends, in part, on the index of refraction n2 of material 2. Figure (b) gives the angle of refraction 02 versus n2 for a range of possible n2 values, from na = 1.40 to np = 1.97. What is the speed of light in material 1? 38 28 28° 18° (a) (b) Number Units the tolerance is +/-5%arrow_forwardThe critical angle for a beam of light passing from water into air is 47.6°. This means that all light rays with an angle of incidence in the water that is less than 47.6° will be totally absorbed by the water. not enough information to answer. partially reflected and partially refracted. O totally reflected. O totally refracted.arrow_forward(a) In the figure, light from ray A refracts from material 1 into a thin layer of material 2, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (i) What is the value of incident angle θA? Draw a sketch of the situation. (ii) If θA is decreased, does part of the light refract into material 3? (b) Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (iii) What is the value of incident angle θB? Draw a sketch of the situation. (iv) If θB is decreased, does part of the light refract into material 3? Answer: 54.3°, yes, 51.1°, noarrow_forward
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