Solving Optic Lens Problem: Find Object Distance for Magnification of 75

Click For Summary
SUMMARY

The discussion centers on solving an optics problem involving two lenses with a focal length of 25mm, placed 36.5mm apart, to achieve a magnification factor of 75. Participants emphasize the importance of using the lens equation and understanding the differences in calculations when not applying the thin lens approximation. The second problem involves a positive lens with specific radii and thickness, requiring a different approach due to its non-thin lens characteristics. Key insights include the necessity of showing work and applying relevant equations for accurate solutions.

PREREQUISITES
  • Understanding of the lens equation for magnification calculations
  • Knowledge of optical principles related to lens systems
  • Familiarity with the concept of magnification in optics
  • Ability to differentiate between thin and thick lens approximations
NEXT STEPS
  • Study the lens equation and its application in various lens configurations
  • Learn about the differences between thin and thick lens calculations
  • Explore magnification factors and their implications in optical systems
  • Investigate the effects of lens thickness and curvature on image formation
USEFUL FOR

Students studying optics, physics educators, and anyone involved in optical design or microscopy who seeks to deepen their understanding of lens systems and magnification principles.

mithil03
Messages
9
Reaction score
0

Homework Statement


Suppose we have a microscope made out of two lenses, both with a focal length of
25mm, placed 36.5mm apart. Find how far in front of the first lens should the object be
placed to assure that the image is magnified at least by a factor of 75?

One more:
Suppose that we have a positive lens with radii 60 and 100 and thickness of 3 (any units,
as long as you are consistent), with an index of 1.5. If an object with a height of 10 is
placed at a distance of 100 from the lens, find at what distance from the back surface is
the image formed. DO NOT treat this as a thin lens.



Homework Equations





The Attempt at a Solution


The first one, couldn't understand how to calculate for magnification factor of 75

Help please...
 
Physics news on Phys.org


mithil03 said:

Homework Statement


Suppose we have a microscope made out of two lenses, both with a focal length of
25mm, placed 36.5mm apart. Find how far in front of the first lens should the object be
placed to assure that the image is magnified at least by a factor of 75?

One more:
Suppose that we have a positive lens with radii 60 and 100 and thickness of 3 (any units,
as long as you are consistent), with an index of 1.5. If an object with a height of 10 is
placed at a distance of 100 from the lens, find at what distance from the back surface is
the image formed. DO NOT treat this as a thin lens.



Homework Equations





The Attempt at a Solution


The first one, couldn't understand how to calculate for magnification factor of 75

Help please...

Why didn't you list the lens equation as a Relevant Equation? That's why we have that line in the Homework Help Template.

List the Lens Equation, and show your work to solve the first question.

Then, what is different about the 2nd question? What equations apply when you can't use the thin lens approximation?

We do not do your work for you here at the PF. We can offer hints and ask questions, but we do not open your textbook for you and do your reading...
 

Similar threads

Focal length of the eyepiece lens in a compound microscope
  • · Replies 7 ·
Replies
7
Views
2K
Analyzing this 2-lens optical system
  • · Replies 5 ·
Replies
5
Views
2K
Inserting thick lenses into a thin lens system and deducing values
  • · Replies 1 ·
Replies
1
Views
2K
Image position in an optical system?
  • · Replies 5 ·
Replies
5
Views
2K
Optics Problem with a Double Lens System
  • · Replies 1 ·
Replies
1
Views
2K
Optics - Adding magnification in an optical system
  • · Replies 3 ·
Replies
3
Views
2K
Position of the object and image in this optics problem
  • · Replies 10 ·
Replies
10
Views
2K
Image with an Plano-Convex lens
  • · Replies 7 ·
Replies
7
Views
3K
Calculate the focal distance of the duplicate
  • · Replies 3 ·
Replies
3
Views
2K
Image Distance with two concave lenses
  • · Replies 4 ·
Replies
4
Views
4K