Solving for Magnification in a Microscope

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SUMMARY

The discussion focuses on calculating the magnification of a microscope constructed from two lenses with focal lengths of 2.8 cm and 1.1 cm. The user correctly identifies the objective lens as the one with a focal length of 1.1 cm and calculates the object distance (s) as 1.2 cm, yielding an objective magnification (M_obj) of -11. However, confusion arises regarding the calculation of the eyepiece magnification (M_eye) and the overall magnification, particularly in relation to the distance between the objective and eyepiece. The user struggles with sign conventions and distances, indicating a need for clarity in applying the thin lens equation.

PREREQUISITES
  • Understanding of the thin lens equation
  • Knowledge of magnification calculations in optics
  • Familiarity with sign conventions in lens formulas
  • Basic principles of microscope construction
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  • Study the thin lens equation in detail, focusing on M_obj and M_eye calculations
  • Learn about sign conventions in optics to avoid common pitfalls
  • Explore practical examples of microscope design and magnification calculations
  • Research the impact of lens focal lengths on overall magnification in optical systems
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Students in physics, particularly those studying optics, as well as educators and anyone involved in designing or using microscopes for scientific purposes.

Linus Pauling
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1. Your task in physics laboratory is to make a microscope from two lenses. One lens has a focal length of 2.8 cm, the other 1.1 cm. You plan to use the more powerful lens as the objective, and you want the eyepiece to be 15 cm from the objective.

What is the magnification of your microscope?




2. Thin lens equation
M_obj = -s'/s
M_eye = ?




3. In part one I solved for s, and s = 1.2cm. The more powerful lens is the one with f = 1.1, and s' = 13.2. Thus, the magnification of the objective lens should be -s'/s = -13.2/1.2 = -11. Is that correct? Also, what do I sue for the magnification of the eye? I know that I have to mutiply those two values to obtain my final answer.
 
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This one's really killing me guys. I think I've got all my sign conventions right, and none of the incorrect answers I've tried have said, "check your signs." I've tried the s'=15cm for the image distance (which I used to calculate s in part one, which was correct...) but that didn't work, i.e. -(15/1.1)(25/2.8). I also tried using s'=15-2.8=12.2, putting the image from the objective projected onto the focal point of the eyepiece.

wtf...
 
The answer is in the back of the book, but with different numerical values. I worked out how to get the correct answer for the book numbers, then applied the exact same logic to the question with the values I am asking about... and it says it's wrong...
 

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