Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 26 - Geometrical Optics - Conceptual Questions - Page 938: 3

Answer

$f=\infty$, $r=\infty$

Work Step by Step

The lens equation states that $$\frac{1}{f}=\frac{1}{d_o}+\frac{1}{d_i}$$ In a mirror, the object distance and image distance are the same. Therefore, $$\frac{1}{f}=\frac{1}{d_o}-\frac{1}{d_o}=0$$ This means that $$\frac{1}{f}=0$$ Therefore, the focal length must be infinitely large. Since $f=\frac{R}{2}$ and $f=\infty$, $R$ must also be infinitely large.
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