Solve Microscope Q: Sample Distance w/ 160mm Tube Length & 800X Mag

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SUMMARY

The discussion centers on calculating the distance from the sample to the objective lens of a microscope with a tube length of 160 mm, achieving a total magnification of 800X using a 40X objective and a 20X eyepiece. The relevant equations include M=(Meyepiece)(Mobjective), Meyepiece=25/Feyepiece, and Mobjective=-L/fobjective. The focal length of the objective was determined to be 0.4 cm, and the focal length of the eyepiece was found to be 1.25 cm. The next steps involve using these focal lengths to calculate the distance to the sample based on the principles of relaxed viewing and parallel light rays.

PREREQUISITES
  • Understanding of microscope optics, including objective and eyepiece magnification.
  • Familiarity with the lens formula and focal length calculations.
  • Knowledge of total magnification calculations in microscopy.
  • Basic principles of light behavior, particularly in relaxed viewing conditions.
NEXT STEPS
  • Calculate the distance from the sample to the objective lens using the derived focal lengths.
  • Explore the implications of relaxed viewing on microscope adjustments.
  • Research the effects of different objective lenses on total magnification.
  • Learn about the relationship between tube length and focal lengths in microscopy.
USEFUL FOR

Students studying optics, microscopy enthusiasts, and professionals in biological sciences who require a deeper understanding of microscope functionality and calculations related to sample distance and magnification.

surfahgirl
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Homework Statement



A microscope with a tube length of 160 mm achieves a total magnification of 800X with a 40X objective and a 20X eyepiece. The microscope is focused for viewing with a relaxed eye.

How far is the sample from the objective lens?

Homework Equations



M=(Meyepiece)(Mobjective)
Meyepiece=25/Feyepiece
Mobjective = -L/fobjective

The Attempt at a Solution



so I found the fobjective to be 0.4cm and the feyepiece to be 1.25

I'm just not sure what to do next. Which objective do I use to find the distance of the sample? or do you combine them somehow?
 
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surfahgirl said:

Homework Statement



A microscope with a tube length of 160 mm achieves a total magnification of 800X with a 40X objective and a 20X eyepiece. The microscope is focused for viewing with a relaxed eye.

How far is the sample from the objective lens?

Homework Equations



M=(Meyepiece)(Mobjective)
Meyepiece=25/Feyepiece
Mobjective = -L/fobjective

The Attempt at a Solution



so I found the fobjective to be 0.4cm and the feyepiece to be 1.25

I'm just not sure what to do next. Which objective do I use to find the distance of the sample? or do you combine them somehow?

When the microscope is adjusted for relaxed viewing, it means the light emanating consists of parallel rays. That means the image formed by the objective is at the focus of the eyepiece.
You thus can work out the focal length of the objective [looks like you have, but I haven't checked whether your stated answer is correct] and the distance to the image , so should be able to get the distance to the object.
 

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