Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 34, Problem 49AP
(a)
To determine
The equation of
(b)
To determine
The diameter of the dark circle.
(c)
To determine
The color of light of inner edge of the white halo.
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34. Consider a beam of light from the
left entering a prism of apex angle
O as shown in Figure P34.34. Two
angles of incidence, 0, and 0,, are
shown as well as two angles of
refraction, 0, and 0,. Show that
O = 0, + 0g-
2
%D
2
3°
- Why is the following situation impossible? A laser beam strikes
one end of a slab of material of length L = 42.0 cm and
thickness t = 3.10 mm as shown in Figure P34.36 (not to
scale). It enters the material at the center of the left end,
striking it at an angle of incidence of 0 = 50.0°. The index of
refraction of the slab is n = 1.48. The light makes 85 inter-
nal reflections from the top and bottom of the slab before
exiting at the other end.
0
-L-
n
Figure P34.36
The data on a CD is stored as a series of pits in a spiral track on a metal information layer (see figure (a) below). Affixed to this layer is a layer of polycarbonate plastic with a thickness of t = 1.20 mm
and an index of refraction of n = 1.55 (see figure (b) below). A laser beam enters this plastic layer from below and is refracted to a width of a = 1.60 μm in order to read the data on a single track. A
lens makes the beam converge into a cone with an apex angle 20₁ before it enters the plastic layer, and its width as it enters the layer is w = 0.698 mm. What is the incidence angle 0₁ (in degrees) of
the light at the edge of the conical beam?
26.7
Andrew Syred/Photo Researchers, Inc.
2
X
a
b
-bª
-Information
layer
Plastic
n = 1.55
Air
Chapter 34 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 34.3 - Prob. 34.1QQCh. 34.4 - If beam is the incoming beam in Figure 34.10b,...Ch. 34.4 - Light passes from a material with index of...Ch. 34.6 - Prob. 34.4QQCh. 34.7 - Prob. 34.5QQCh. 34 - In an experiment to measure the speed of light...Ch. 34 - Prob. 2PCh. 34 - As a result of his observations, Ole Roemer...Ch. 34 - Prob. 4PCh. 34 - You are working for an optical research company...
Ch. 34 - Prob. 6PCh. 34 - Prob. 7PCh. 34 - Prob. 8PCh. 34 - Prob. 9PCh. 34 - A ray of light strikes a flat block of glass (n =...Ch. 34 - Prob. 11PCh. 34 - Prob. 12PCh. 34 - Prob. 13PCh. 34 - Prob. 14PCh. 34 - When you look through a window, by what time...Ch. 34 - Prob. 16PCh. 34 - You have just installed a new bathroom in your...Ch. 34 - Prob. 18PCh. 34 - Prob. 19PCh. 34 - Prob. 20PCh. 34 - Prob. 21PCh. 34 - A submarine is 300 m horizontally from the shore...Ch. 34 - Prob. 23PCh. 34 - Prob. 24PCh. 34 - Prob. 25PCh. 34 - Prob. 26PCh. 34 - Prob. 27PCh. 34 - Prob. 28PCh. 34 - Prob. 29PCh. 34 - Prob. 30PCh. 34 - An optical fiber has an index of refraction n and...Ch. 34 - Prob. 32APCh. 34 - How many times will the incident beam in Figure...Ch. 34 - Prob. 34APCh. 34 - Prob. 35APCh. 34 - Prob. 36APCh. 34 - Prob. 37APCh. 34 - Prob. 38APCh. 34 - Prob. 39APCh. 34 - A light ray enters the atmosphere of a planet and...Ch. 34 - Prob. 41APCh. 34 - Prob. 42APCh. 34 - Prob. 43APCh. 34 - Prob. 44APCh. 34 - Prob. 45APCh. 34 - Prob. 46APCh. 34 - Prob. 47APCh. 34 - Prob. 48APCh. 34 - Prob. 49APCh. 34 - Figure P34.50 shows a top view of a square...Ch. 34 - Prob. 51APCh. 34 - Prob. 52CPCh. 34 - Prob. 53CPCh. 34 - Pierre de Fermat (16011665) showed that whenever...Ch. 34 - Prob. 55CPCh. 34 - Prob. 56CPCh. 34 - Prob. 57CP
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- Light is incident on a prism as shown in Figure P38.31. The prism, an equilateral triangle, is made of plastic with an index of refraction of 1.46 for red light and 1.49 for blue light. Assume the apex angle of the prism is 60.00. a. Sketch the approximate paths of the rays for red and blue light as they travel through and then exit the prism. b. Determine the measure of dispersion, the angle between the red and blue rays that exit the prism. Figure P38.31arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forward71. A light ray enters a rectangular block of plastic at an angle& 1 ! 45.0° and emerges at an angle & 2 ! 76.0°, as shownin Figure P35.71. (a) Determine the index of refraction ofthe plastic. (b) If the light ray enters the plastic at a pointL ! 50.0 cm from the bottom edge, how long does it takethe light ray to travel through the plastic?arrow_forward
- A light ray is incident at an angle x on the top surface of a block of plastic with n = 1.49. Find the maximum value of x for which the refracted ray undergoes total internal reflection at point P at the left vertical interface of the block. Assume the block is immersed in water (nWATER = 1.33 ).arrow_forwardThe bottom of a glass bottom boat allows tourists to see the coral reefs in Australia. The indices of refraction are as follows: air(n=1), glass(n=1.55), water(n=1.330).If a light ray coming from above hits the glass at an angle of 60.0deg to the normal, what is the refracted angle (deg) inside the water?arrow_forwardConsider a ray incident on an interface between air (n = 1) and glass (n = 1.5) at a 50◦angle, as shown in the figure below. The glass substrate is 1 cm thick. What is the distance d between the light ray exiting the substrate and the unaffected ray?arrow_forward
- Measuring n Using a Prism Although we do not prove it here, the minimum angle of deviation &min for a prism occurs when the angle of incidence 0, is such that the refracted ray inside the prism makes the same angle with the normal to the two prism faces as shown in the figure. Obtain an expression for the index of refraction of the prism material in terms of the minimum angle of deviation and the apex angle 0. Ф 2k8min A light ray passing through a prism at the minimum angle of deviation 6min: SOLUTION Conceptualize Study the figure carefully and be sure you understand why the light ray comes out of the prism traveling in a different direction. Categorize In this example, light enters a material through one surface and leaves the material at another surface. Let's apply the wave under refraction v model to the light passing through the prism. Analyze Ф Consider the geometry in the figure, where we have used symmetry to label several angles. The reproduction of the angle at 2 the…arrow_forwardProblem 6: Fiber optics are an important part of our modern internet. In these fibers, two different glasses are used to confine the light by total internal reflection at the critical angle for the interface between the core (ncore = 1.508 ) and the cladding (ncladding = 1.43). Part (a) Numerically, what is the largest angle (in degrees) a ray will make with respect to the interface of the fiber θmax, and still experience total internal reflection? Part (b) Suppose you wanted the largest angle at which total internal reflection occurred to be θmax = 5 degrees. What index of refraction does the cladding need if the core is unchanged?arrow_forward
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