Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 23 - Light: Geometric Optics - General Problems - Page 676: 78

Answer

a. A plane mirror can be considered a spherical mirror with an infinite radius and focal length. b. $d_i=-d_o$ c. +1 d. Yes

Work Step by Step

a. As the radius of a sphere increases, the surface becomes more and more flat and approaches the shape of a plane mirror. In other words, a plane mirror is a spherical mirror with infinite radius r and infinite focal length f. b. Use the mirror equation, 23–2. $$\frac{1}{d_o}+\frac{1}{d_i}=\frac{1}{f}=\frac{1}{\infty}=0$$ $$\frac{1}{d_o}=-\frac{1}{d_i}$$ $$d_i=-d_o$$ c. Calculate the magnification. $$m=-\frac{d_i}{d_o}=-\frac{-d_o}{d_o}=+1$$ d. Yes, these results are consistent with those previously derived for plane mirrors.
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