COLLEGE PHYSICS
COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 23, Problem 109QAP
To determine

(a)

The minimum diameter of aperture of telescope for the resolution of angel one-fourth of the arc-second

To determine

(b)

The explanation about the telescope when its size is kept as the diffraction diameter of the aperture of the telescope

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•• ENGINEERING APPLICATION An optical fiber allows rays of light to propagate long distances by using total internal reflec- tion. Optical fibers are used extensively in medicine and in digital communications. As shown in Figure 31-58 the fiber consists of a core material that has an index of refraction n, and radius b sur- rounded by a cladding material that has an index of refraction n3 < n2. The numerical aperture of the fiber is defined as sine, where 0, is the angle of incidence of a ray of light that impinges on the center of the end of the fiber and then reflects off the core- cladding interface just at the critical angle. Using the figure as a guide, show that the numerical aperture is given by sine, = Vn3 - n? assuming the ray is initially in air. Hint: Use of the Pythagorean theorem may be required. 44
•4 In Fig. 35-32a, a beam of light in material 1 is incident on a boundary at an angle of 30°. The extent to which the light is ben due to refraction depends, in part, on the index of refraction n, o material 2. Figure 35-32b gives the angle of refraction Oz versus n for a range of possible n2 values, from n, = 1.30 to n, = 1.90. Wha is the speed of light in material 1? в, 40° 300! 30° в, 20° по (a) (b)
•39 In Fig. 34-38, a beam of parallel light rays from a laser is in- cident on a solid transparent sphere of index of refraction n. (a) If a point image is produced at the back of the sphere, what is the index of refraction of the sphere? (b) What index of refraction, if any, will produce a point image at the center of the sphere?

Chapter 23 Solutions

COLLEGE PHYSICS

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