Solving Compound Microscope Lens Length Problem

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The discussion revolves around solving a problem related to the focal length of the objective lens in a compound microscope setup. The user initially attempted to use the mirror equation, which led to confusion and unclear calculations. Participants suggested using the lens equation instead, emphasizing the need for clarity in the user's working method and notation. The importance of understanding the accommodation of the eye in relation to the microscope's focal length was also highlighted. Ultimately, the user resolved the confusion by clarifying their approach and confirming they meant to refer to lenses instead of mirrors.
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Homework Statement


The barrel of a compound microscope is 15.9 cm in length. The specimen will be mounted 1.17 cm from the objective, and the eyepiece has a 5.00 cm focal length. Determine the focal length of the objective lens.

Homework Equations


I am using the mirror equation.

The Attempt at a Solution



1/1.17 cm+1/s'=1/15.9 cm
-1.26 cm
adding 1.26 to 1.17=2.433
1/2.433+1/x=1/1.17 this gives me 2.25 cm

I am so lost. Any guidance would be appreciated.[/B]
 
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"I am using the mirror equation" is just as lengthy as actually giving that equation. Why not give it ? What mirror equation ?
Why not use a lens equation ? (You do, I think, but it looks weird).

In your working it is unclear what you are doing. Could you be a bit clearer, use symbols and words ?
It looks as if you think the image from the objective is located at the top end of the barrel.
What is -1.26 cm and why do say you add it , but then subtract it ?I had to search for "mirror" in compound microscope to discover there aren't any (at least not between object and ocular) :)

150px-Microscope_compound_diagram.png


Decide about whether the eye is accommodated or not. Here they say it is focused at 25 cm.
 
BvU said:
"I am using the mirror equation" is just as lengthy as actually giving that equation. Why not give it ? What mirror equation ?
Why not use a lens equation ? (You do, I think, but it looks weird).

In your working it is unclear what you are doing. Could you be a bit clearer, use symbols and words ?
It looks as if you think the image from the objective is located at the top end of the barrel.
What is -1.26 cm and why do say you add it , but then subtract it ?I had to search for "mirror" in compound microscope to discover there aren't any (at least not between object and ocular) :)

150px-Microscope_compound_diagram.png
Thanks I figured it out and I meant lens.

Decide about whether the eye is accommodated or not. Here they say it is focused at 25 cm.
 
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