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(a) Where does an object need to be placed relative to a microscope for its 0.500 cm focal length objective to produce a magnification of –400 ? (b) Where should the 5.00 cm focal length eyepiece be placed to produce a further fourfold (4.00) magnification?

a. 0.50125 $\mathrm{cm}$b. 204.25 $\mathrm{cm}$

Physics 103

Chapter 26

Vision and Optical Instruments

Reflection and Refraction of Light

Wave Optics

Cornell University

Rutgers, The State University of New Jersey

Hope College

University of Sheffield

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what? Air off the human problem. The eye distance to the image is equal to unification times d o So many indication we have is a minus 400 400 times a d o distance. Then using in lenses formula we can find D'oh! Uh, that is a one or d'oh plus one award the eye So the eyes 400 times over. D'oh! So 400 times d'oh is equal to one order for Oakland. So the focal and given we have here is a 0.5 centimeter so substituted that value. Here we get the d o and stalling for Dio Dio we get here is 0.5 01 centimeter centimeter Barbie the D I is the call to 400 times off Theo D'oh! The unsubs treating the value for radio 400 don't 0.5125 I think this gives us a D I, which is a 200.5 centimeter centimeter. Then we can find a new D. I dish the I dish the physical toe minus magnification. Well, fine eyepiece times a d o dish. This is a call to four fold so fourfold off the or dish. So the old dish and substituting the values in a lenses formula Then we get here is one minus one over four D old dish plus one whore. D'oh! Do you Dish is equal to one over the focal length off the eyepiece by piece, then the substituting the values we get here. Three over four. The old dish is equal to one over five centimeter, then solving for the d 03 audition, we get here three or 43 or four times five disc use us 3.75 3.75% E meter. So, uh, then d i d Oh, sorry. The old age plus three. I will be some off those two numbers, which are 3 75 plus 200.5, 200.5. This gives us 200 fortitude to four centimeters. The eyepiece should be 204 centimeter behind object Rowlands

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