Problem 27.61 A compound microscope has the objective and eyepiece mounted in a
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Question
Problem 27.61
A compound microscope has the objective and eyepiece mounted in a tube that is 17.0cm long. The focal length of the eyepiece is 2.52cm , and the near-point distance of the person using the microscope is 25.0 cm.
Part A
If the person can view the image produced by the microscope with a completely relaxed eye, and the magnification is -4525, what is the focal length of the objective?
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Problem 27.61
A compound microscope has the objective and eyepiece mounted in a tube that is 17.0cm long. The focal length of the eyepiece is 2.52cm , and the near-point distance of the person using the microscope is 25.0 cm.
Part A
If the person can view the image produced by the microscope with a completely relaxed eye, and the magnification is -4525, what is the focal length of the objective?
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Explanation / Answer
Given data
Image distance is di = 2.52 cm -(17.0 cm)
=- 14.48 cm
Focal length of eyepiece is fe= 2.52 cm
Near point distance N= 0.250 m
Total Magnification is M=-4525
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The expression for total magnification is,
Mtotal= -(di)(N)/((fO)(fe))
The Focal length of the objective eyepiece is,
fO= -(- 14.48 cm)( 0.250 m)/(( -4525)( 2.52 cm))
= 3.175x10^-4 m
=0.318x10^-3 m
=0.318 mm
Therefore, the objective focal length is 0.318 mm.
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