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: 34.10

Answer

See explanation.

Work Step by Step

The bowl surface is convex so R=-35 cm. The focal length is half the radius of curvature. $$f=\frac{1}{2}r=\frac{1}{2}(-35cm)=-17.5cm$$ Use the mirror equation. $$\frac{1}{s}+\frac{1}{s’}=\frac{1}{f}$$ Solve for the image distance. $$s’=\frac{sf}{s-f}=\frac{(60cm)(-17.5cm)}{60cm-(-17.5cm)}=-13.55 cm$$ The image is 13.55 cm behind the surface of the bowl. Calculate the magnification. $$m=-\frac{s’}{s}=-\frac{-13.55cm}{60cm}=+0.226$$ $$|y’|=|m||y|=(0.226)(5.0cm)=1.1cm$$ The image is 1.1cm tall, upright and virtual.
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.