What Focal Length Eyepiece Provides a -125 Magnification?

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SUMMARY

The discussion focuses on determining the focal length of an eyepiece lens required to achieve an overall magnification of -125 in a laboratory microscope with a medium-power objective lens having a focal length of 3.75 mm. The equation used is M=(-di/fobjective)(N/feyepiece), where di is the image distance and N is the near-point distance of 25 cm. Participants confirm that the working distance calculated in Part A must be utilized to solve for the eyepiece focal length in Part B, emphasizing the interconnectedness of the problem's components.

PREREQUISITES
  • Understanding of optical magnification concepts
  • Familiarity with microscope components and their functions
  • Knowledge of the lens formula and image distance calculations
  • Basic algebraic manipulation skills for solving equations
NEXT STEPS
  • Study the relationship between focal length and magnification in optical systems
  • Learn about the lens maker's equation for designing eyepieces
  • Explore the concept of working distance in microscopy
  • Investigate the effects of different eyepiece focal lengths on overall magnification
USEFUL FOR

This discussion is beneficial for students studying optics, laboratory technicians working with microscopes, and educators teaching optical physics concepts.

Anna M
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Homework Statement


The medium-power objective lens in a laboratory microscope has a focal length fobjective = 3.75 mm.

What is the focal length of an eyepiece lens that will provide an overall magnification of -125? Assume student's near-point distance is N=25cm.

Homework Equations


M=(-di/fobjective)(N/feyepiece)

The Attempt at a Solution


I have set up my equation and plugged in all the known values, but I do not understand how to solve when you have 2 unknown values (di and feyepiece).

Part A of this question says: If this lens produces a lateral magnification of -46.0, what is its "working distance"; that is, what is the distance from the object to the objective lens?
I have worked Part A out, but I am not sure if they correlate and I am supposed to use values from that portion or if they are completely separate.
 
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Yes, you need to use the working distance found in part A to solve part B. Otherwise you don't know ##di##.
Generally, if a problem consists of more than 1 part, and you're missing a value for a later part, the missing value can be found using given information or your answers in previous parts. That's been my experience at least.
 
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