Given two 12-cm-focal-length lenses, you attempt to make a crude microscope using them. While holding these lenses a distance 55 cm apart, you position your microscope so that its objective lens is distance d, from a small object. Assume your eye's near point N = 25 cm. (a) For your micro- scope to function properly, what should d, be? (b) Assuming your eye is relaxed when using it, what magnification M does your microscope achieve? (c) Since the length of your microscope is not much greater than the focal lengths of its lenses, the approximation M = Nl/fefo is not valid. If you apply this approximation to your microscope, what % error do you make in your microscope's true magnification?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Given two 12-cm-focal-length lenses, you attempt to make
a crude microscope using them. While holding these lenses
a distance 55 cm apart, you position your microscope so
that its objective lens is distance d, from a small object.
Assume your eye's near point N = 25 cm. (a) For your micro-
scope to function properly, what should d, be? (b) Assuming
your eye is relaxed when using it, what magnification M
does your microscope achieve? (c) Since the length of your
microscope is not much greater than the focal lengths of its
lenses, the approximation M = Nl/fefo is not valid. If you
apply this approximation to your microscope, what % error
do you make in your microscope's true magnification?
Transcribed Image Text:Given two 12-cm-focal-length lenses, you attempt to make a crude microscope using them. While holding these lenses a distance 55 cm apart, you position your microscope so that its objective lens is distance d, from a small object. Assume your eye's near point N = 25 cm. (a) For your micro- scope to function properly, what should d, be? (b) Assuming your eye is relaxed when using it, what magnification M does your microscope achieve? (c) Since the length of your microscope is not much greater than the focal lengths of its lenses, the approximation M = Nl/fefo is not valid. If you apply this approximation to your microscope, what % error do you make in your microscope's true magnification?
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