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 31P
An optical fiber has an index of refraction n and diameter d. It is surrounded by vacuum. Light is sent into the fiber along its axis as shown in Figure P34.31. (a) Find the smallest outside radius Rmin permitted for a bend in the fiber if no light is to escape. (b) What If? What result does part (a) predict as d approaches zero? Is this behavior reasonable? Explain. (c) As n increases? (d) As n approaches 1? (c) Evaluate Rmin assuming the fiber diameter is 100 μm and its index of refraction is 1.40.
Figure P34.31
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NUmber
i
98.7
Units
ns
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…
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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