Solving Compound Microscope Lens Length Problem

Click For Summary
SUMMARY

The discussion focuses on solving the compound microscope lens length problem, specifically determining the focal length of the objective lens given a barrel length of 15.9 cm, a specimen distance of 1.17 cm, and an eyepiece focal length of 5.00 cm. The user initially applied the mirror equation incorrectly, leading to confusion in calculations. After clarification, it was established that the lens equation should be used instead, and the correct focal length was derived as 2.25 cm.

PREREQUISITES
  • Understanding of the lens equation in optics
  • Familiarity with focal lengths and their significance in microscopy
  • Basic knowledge of compound microscope components
  • Ability to perform algebraic manipulations and solve equations
NEXT STEPS
  • Study the lens equation and its application in optical systems
  • Learn about the role of focal lengths in compound microscopes
  • Explore the concept of image formation in optical devices
  • Investigate the effects of accommodation on image clarity in microscopy
USEFUL FOR

This discussion is beneficial for students studying optics, educators teaching physics concepts related to microscopes, and anyone involved in designing or using optical instruments.

premed_love
Messages
19
Reaction score
0

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]
 
Physics news on Phys.org
"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.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K