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: 34.5

Answer

(a) Diagram below (b) s'=33.0 cm; y'=-1.2 cm; The image formed is real.

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: $s'=\frac{fs}{s-f}$ $s'=\frac{11\times16.5}{16.5-11.0}$ $s'= 33.0$ $cm$ is the position of the image $m=-\frac{s'}{s}=-\frac{33}{16.5}=-2$ $m=\frac{y'}{y}$ $y'=m\times{y}=(-2)\times{0.600}=-1.2$ $cm$ As the image distance is positive and the image height is negative, we can conclude that the image formed is real.
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.