Revising simple lenses - magnified, and diminished images

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SUMMARY

This discussion focuses on understanding the conditions under which images formed by lenses are magnified or diminished. Key concepts include the object distance (O.D.) in relation to the focal length (F) and the image distance. The user clarifies that the perception of size is influenced by the distance of the image from the observer's eye, which acts as an additional lens. The interaction between the object distance and the eye's lens complicates the determination of whether an image appears larger or smaller.

PREREQUISITES
  • Understanding of lens geometry and optics principles
  • Familiarity with object distance (O.D.) and focal length (F) relationships
  • Knowledge of real and virtual images in optics
  • Basic comprehension of how the human eye functions as a lens
NEXT STEPS
  • Study the principles of lens magnification and image formation
  • Learn about the effects of combining multiple lenses, such as the eye and optical instruments
  • Explore the mathematical relationships governing lens systems, including the lens maker's equation
  • Investigate practical applications of lenses in photography and microscopy
USEFUL FOR

Students of physics, educators teaching optics, and anyone interested in the practical applications of lens systems in visual technology.

RK1992
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Basically, I'm trying to revise lenses and the one thing I never really understood was how to tell whether an image is magnified or diminished.

http://store.aqa.org.uk/qual/gce/pdf/AQA-2450-W-TRB-OGA.PDF pages 6 and 7 has the diagrams to show what I mean

I can do the geometry of an object at points where:
O.D. > 2F;
O.D. = 2F;
2F > O.D. > F and
F > O.D. > 0
to show that the images formed are real/virtual, inverted/upright and magnified/diminshed but I'm not really sure what the image distance means.. if the image is diminished but the image is nearer to you, how do you know whether it would appear bigger or smaller? Likewise with a magnified virtual image which is further away than the object. :redface:

Thanks
 
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I am not positive but it seems like your intuition about a magnified image being far from your eye mean that is would not be as magnified. The one thing I will say is that things a more complicated when you include your eye because your eye contains a lens. So, now you have two lenses in the problem. The magnification of the images in question are in relation to that single lens. If you want to figure out what your eye will see then you need to work through with a second lens.
 

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