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 1154: 34.53

Answer

A focal length of 49.5cm, or power of 2.02D is required.

Work Step by Step

The corrective lens forms a virtual image at the near point of the eye. The distances from the corrective lens are s=23.0 cm and sā€™=-43.0 cm. Use the lens equation. $$\frac{1}{s}+\frac{1}{sā€™}=\frac{1}{f}$$ $$\frac{1}{23.0cm}+\frac{1}{-43.0cm}=\frac{1}{f}$$ $$f=49.45cm$$ $$P=\frac{1}{f}=\frac{1}{0.4945m}=2.02D$$
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