Building a microscope with two different power lenses

AI Thread Summary
To build a 14X microscope using a 2X and a 5X lens, the 5X lens is typically used as the objective due to its higher magnification power. The relevant equations for calculating the tube length involve the eye and objective lens magnifications, specifically Meye = 25/feye and Mobj = -L/fobj. The combined magnification of the two lenses must equal 14X, which requires determining the correct separation between the lenses. The user has calculated the focal length of the eye lens as 12.5 cm but is unsure how to proceed with the calculations. Guidance is requested on aligning the lenses and calculating the combined magnification.
surfahgirl
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Homework Statement



You've been asked to build a 14X microscope from a 2X magnifying lens and a 5X magnifying lens.
What will be the tube length of your microscope?

Homework Equations



Meye = 25/feye
Mobj = -L/fobj
M = (Meye)(Mobj)

The Attempt at a Solution



First, are you supposed to use the 5X as the objective? That's what I assumed since it's a higher power, but I'm not sure why exactly?

Then I'm not quite sure what to do next. I found the feye value to be 12.5 cm. But I get don't know what to do after that. If someone could just point me in the right direction I'd appreciate it! Thanks!
 
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surfahgirl said:

Homework Statement



You've been asked to build a 14X microscope from a 2X magnifying lens and a 5X magnifying lens.
What will be the tube length of your microscope?

Homework Equations



Meye = 25/feye
Mobj = -L/fobj
M = (Meye)(Mobj)

The Attempt at a Solution



First, are you supposed to use the 5X as the objective? That's what I assumed since it's a higher power, but I'm not sure why exactly?
What difference does it make?
Then I'm not quite sure what to do next. I found the feye value to be 12.5 cm. But I get don't know what to do after that. If someone could just point me in the right direction I'd appreciate it! Thanks!
Well you need to line up the lenses involved and work out what the magnification is for different 5x-2x separations. Do you know how to work out the combined magnification of two lenses?
 
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