Finding Focal Lengths of Microscope Lenses

AI Thread Summary
To find the focal lengths of microscope lenses, the magnification formula M = -q / p is relevant, where q is the image distance and p is the object distance. The total magnification of the microscope is the product of the magnifications of the objective and eyepiece lenses, which in this case is 50 times for the objective and 10 times for the eyepiece, resulting in a total magnification of 500. The length of the microscope tube is 25.0 cm, which can be used to relate the distances for the two lenses. Understanding the relationship between the focal lengths and the distances involved is crucial for solving the problem. Proper application of these principles will lead to the determination of the focal lengths of the lenses.
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Can someone tell me what sort of equation I would use for this question, I can't use the magnification as I have two unknowns. At least I don't know how to apply the magnification equation to this question.

A microscope is made in a tube 25.0cm long. It magnifies 5.00 x 10 to the 2 times, 50.0 times by the objective lens and 10 times by the eyepiece. What is the focal length of the two lenses?
 
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What do you need to get greater magnification, a wider objective lens? :bugeye:
 
magnification is given by the eq. M = -q / p

see if that helps
 
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