Angular Magnification for a Microscope

AI Thread Summary
The discussion revolves around calculating the angular magnification of a compound microscope with given focal lengths for the eyepiece and objective lenses. The formula for magnification involves the near point of the eye, which is 25 cm, and the focal lengths of the lenses. The user seeks clarification on how to determine the image location without knowing the object distance. It is noted that the objective lens must be positioned to ensure the image from the eyepiece forms at infinity to reduce eyestrain. Understanding the relationship between object and image distances is crucial for solving the problem effectively.
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Homework Statement


The eyepiece of a compound microscope has a focal length of 2.50 cm and the objective has a focal length of 1.8 cm. The two lenses are separated by 22 cm. The microscope is used by a person with normal eyes (near point at 25 cm). What is the angular magnification of the microscope?

Homework Equations


M = (25)(s'1)/( (f1)(f2) )

The Attempt at a Solution


So I understand that the 25 comes from the near point of the eye for a human. However, with f1 defined as the focal length for the objective lens (1.8 cm) and f2 defined as the focal point for the eyepiece (2.50 cm), I don't know how to calculate the location of the image since I don't know the location of the object. Can anyone clarify this for me? Thank you in advance.
 
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From what I've found online, the idea is to have the image from the eyepiece form at infinity to minimize eyestrain. From this information, you should be able to deduce where the object must be for the eyepiece. The object distance for the objective is adjusted so that its image forms at the right location to meet the criterion above.
 
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