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 741: 39

Answer

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Work Step by Step

The “relaxed eye” tells us that the image is at infinity. The distance between the two lenses is the sum of the 2 focal lengths. Combine this with equation 25–3 and solve for the focal lengths. $$M=-\frac{f_o}{f_e}$$ $$f_o=-Mf_e$$ $$\ell=f_o+f_e=(1-M)f_e$$ The magnification for an astronomical telescope is negative. $$f_e=\frac{\ell}{1-M}=\frac{1.10m}{1-(-120)}=9.09\times10^{-3}m$$ $$f_o=-Mf_e=-(-120)( 9.09\times10^{-3}m)=1.09m$$
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