Real Object, Images formed by a single converging or diverging lens

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SUMMARY

The discussion focuses on the properties of images formed by single converging and diverging lenses. Key conclusions include that a converging lens can produce a virtual, upright, enlarged image when the object is placed between the focal point and the lens, while a diverging lens always produces a virtual, upright, reduced image. The participant correctly identifies that diverging lenses cannot produce real images and that any virtual image is upright. Misconceptions regarding the formation of images by these lenses are clarified through the application of ray tracing principles.

PREREQUISITES
  • Understanding of lens types: converging and diverging lenses
  • Familiarity with focal length and its role in image formation
  • Knowledge of ray tracing techniques for lenses
  • Basic principles of optics, including virtual and real images
NEXT STEPS
  • Study the laws of rays passing through lenses in detail
  • Learn about the mathematical equations governing lens optics, such as the lens maker's equation
  • Explore practical applications of ray tracing in optical devices
  • Investigate the differences between real and virtual images in various optical systems
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding the behavior of light through lenses.

skibum143
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Homework Statement


Starting with a real object, which of the following statements are TRUE about the image formed by a single lens? (Choose ALL correct answers, e.g. B, AC, CDF.)

A) For a converging lens an object has to be placed between the focal length and the lens in order to form a virtual image.
B) A diverging lens can produce a real, inverted, reduced image.
C) A converging lens can produce a virtual, upright, enlarged image.
D) A converging lens cannot produce a real, inverted reduced image.
E) A converging lens can never produce a virtual, upright, reduced image.
F) A diverging lens always produces a virtual, upright, reduced image.


Homework Equations


laws of rays passing through a lens


The Attempt at a Solution


I keep getting this wrong, and I'm not sure which one I've mixed up.
A) True - I believe this is the only way to get a virtual image for a converging lens
B) False - Diverging lenses CANT produce real images
C) True - if the object is between the focal point and the lens
D) False - this is possible if the object is placed, say, 2 times the focal length away from the lens
E) True - this is not possible because any virtual images are enlarged ?
F) False - diverging lenses can produce inverted images as well

can someone help me figure out where I'm wrong?
These are the answers I've tried:
TFTFTF
TTTFTF
TFTFTT
TFTFFF
 
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I believe the last one is true. It seems like any raytrace on a diverging lens forms a upright reduced and virtual image.
 
I guess my prof said that a diverging lens could possibly form an inverted image, although I'm not sure how.

I also already tried that combination: TFTFTT
So I must either have another one wrong or something... not sure...
 
skibum143 said:
I guess my prof said that a diverging lens could possibly form an inverted image, although I'm not sure how.

I also already tried that combination: TFTFTT
So I must either have another one wrong or something... not sure...

I find that hard to believe as all virtual images are upright.
 
I didn't know that all virtual images are upright, that is good to know!

However, if Part F is true, I still have something else wrong, as I tried: TFTFTT

So I'm not sure what other one I have wrong...
 
Yeah I'm not sure what else could be different TFTFTT seems right to me.
 

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