Suppose we wish to manufacture a microscope out of two converging lenses, both with a focal length of 25 mm. Assuming that the object to be viewed is placed 27 mm from the objective, and the microscope creates an image at the eye's near point. a) Draw a schematic diagram of this lens system, labelling and identifying the relevant optical quantities; b) How far apart should the objective and eyepiece be? c) What magnification can be achieved with this microscope? d) An unaided eye can distinguish or resolve two points at its near point if they are separated by ~0.10 mm. What is the minimum separation that can be resolved when using the microscope discussed above?

College Physics
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ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
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Chapter25: Optical Instruments
Section: Chapter Questions
Problem 25P: A leaf of length h is positioned 71.0 cm in front of a converging lens with a focal length of 39.0...
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Suppose we wish to manufacture a microscope out of two converging lenses, both with a
focal length of 25 mm. Assuming that the object to be viewed is placed 27 mm from the
objective, and the microscope creates an image at the eye's near point.
a) Draw a schematic diagram of this lens system, labelling and identifying the relevant optical
quantities;
b) How far apart should the objective and eyepiece be?
c) What magnification can be achieved with this microscope?
d) An unaided eye can distinguish or resolve two points at its near point if they are separated
by ~0.10 mm. What is the minimum separation that can be resolved when using the
microscope discussed above?
Transcribed Image Text:Suppose we wish to manufacture a microscope out of two converging lenses, both with a focal length of 25 mm. Assuming that the object to be viewed is placed 27 mm from the objective, and the microscope creates an image at the eye's near point. a) Draw a schematic diagram of this lens system, labelling and identifying the relevant optical quantities; b) How far apart should the objective and eyepiece be? c) What magnification can be achieved with this microscope? d) An unaided eye can distinguish or resolve two points at its near point if they are separated by ~0.10 mm. What is the minimum separation that can be resolved when using the microscope discussed above?
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