University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 34 - Geometric Optics - Problems - Exercises - Page 1152: 34.6

Answer

(a)Diagram below; (b)$s'=-6.60$ $cm$,$y'=0.240$ $cm$, The image formed is virtual

Work Step by Step

Given that $R= -22.0$ $cm$ $f=\frac{R}{2}=-11.0$ $cm$ We use the following formula: $\frac{1}{f}=\frac{1}{s}+\frac{1}{s′}$ Rearranging gives: $s′=\frac{f\times{s}}{s−f}$ $s′=\frac{(-11)×16.5}{16.5−(-11.0)}$ $s′=-6.60$ $cm$ is the position of the image $m=-\frac{s′}{s}=−\frac{-6.60}{16.5}=0.4$ $m=\frac{y′}{y}$ $y′=m×y=(0.4)×0.600=0.240$ $cm$ As the image distance is negative and the image height is positive, we can conclude that the image formed is virtual.
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