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: 70

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Work Step by Step

$$\color{blue}{\bf [a]}$$ I used my thumb and point finger to measure the diameter of my eye and it is about 3.5 cm. $$D\approx \color{red}{\bf 3.5}\;\rm cm$$ ​$$\color{blue}{\bf [b]}$$ The near point distance at which the letters remain sharp is about 14 cm. The letters here represent the object, so $$s=\color{red}{\bf 14}\;\rm cm$$ ​$$\color{blue}{\bf [c]}$$ We know, for thin lenses, that $$\dfrac{1}{s}+\dfrac{1}{s'}=\dfrac{1}{f}$$ So the effective focal length is $$f=\left[ \dfrac{1}{s}+\dfrac{1}{s'} \right]^{-1}$$ where we know that the image is formed on the retina, which is located at the back of the eye. Hence, the image distance from the lens front surface is $s'=D$ $$f=\left[ \dfrac{1}{14}+\dfrac{1}{3.5} \right]^{-1}$$ $$f=\color{red}{\bf 2.8}\;\rm cm$$
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