How Do You Calculate the Focal Lengths of Microscope Lenses?

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SUMMARY

The discussion focuses on calculating the focal lengths of microscope lenses based on a given tube length of 25.0 cm and a total magnification of 500. The objective lens provides a magnification of 50.0 times, while the eyepiece magnifies 10.0 times. The equations used include the magnification formula (m = H/h = -q/p) and the relationship between focal lengths (f-ob + f-eye = 25 cm). The challenge lies in solving the equations to find the individual focal lengths of the objective and eyepiece lenses.

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  • Familiarity with lens equations and focal lengths
  • Knowledge of algebraic manipulation for solving equations
  • Basic concepts of microscope design and functionality
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This discussion is beneficial for students in optics, physics enthusiasts, and anyone involved in the design or use of microscopes, particularly in educational or research environments.

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Homework Statement



A microscope is made in a tube 25.0 cm long. It magnifies 5.00 x 10to the 2 times, 50.0 times by the objective lens and 10.0 times by the eyepiece. What are the focal lengths of the two lenses?


Homework Equations


m= H/h=-q/p
q= p(f) / p-f
H= -h(q/p)

The Attempt at a Solution


GIVEN m= 5.00 * 10 to the 2
REQUIRED f= focal length = ? cm is what i am trying to find
I don't think i have the right equation but i don't know which equation to use.
 
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u have got f-ob + f-eye = 25 cm...
Now...f-ob / f--eye = m

now u have two variables and two equations ...just solve it out...i couldn't get the later part of the question actually...
 

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