Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 23 - Ray Optics - Exercises and Problems - Page 692: 67

Answer

$3.6\;\rm cm,\;Concave$

Work Step by Step

We know for a spherical mirror that $$\dfrac{1}{s}+\dfrac{1}{s'}=\dfrac{1}{f}\tag 1$$ and we know that the magnification is given by $$m=\dfrac{-s'}{s}$$ Hence, $$s'=-ms$$ Plugging into (1), $$\dfrac{1}{s}+\dfrac{1}{-ms}=\dfrac{1}{f} $$ Solving for $f$, $$f=\left[\dfrac{1}{s}+\dfrac{1}{-ms}\right]^{-1}$$ Plugging the known; $$f=\left[\dfrac{1}{1.2}+\dfrac{1}{-(1.5)(1.2)}\right]^{-1}$$ $$f=\color{red}{\bf 3.6}\;\rm cm$$ Since the focal length is positive, so the mirror is concave toward the teeth.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.