Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 25 - Optical Instruments - Problems - Page 740: 3

Answer

$3.0mm \leq D \leq 46mm$

Work Step by Step

Use the relationship on page 715 that defines the f-stop. $$f-stop=\frac{f}{D}$$ $$D=\frac{f}{f-stop}$$ Calculate the high and low lens diaphragm diameters. $$D_{1.4}=\frac{65mm}{1.4}=46mm$$ $$D_{22}=\frac{65mm}{22}=3.0mm$$ The range of diameters is $3.0mm \leq D \leq 46mm$.
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