Mirrors & Lenses: Understanding Virtual and Real Images

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SUMMARY

The discussion centers on the properties of lenses and mirrors, specifically addressing the nature of images produced by diverging lenses and converging lenses. It is established that a single diverging lens can only create a virtual image, while a converging lens can produce a real inverted image when the object is placed beyond its focal length. Additionally, parallel rays striking a concave mirror focus at the focal point, which is half the radius (R) of the mirror. Lastly, to reduce the size of an image projected onto a screen, a lens with a shorter focal length is required.

PREREQUISITES
  • Understanding of lens types: diverging and converging lenses
  • Knowledge of mirror properties, specifically concave mirrors
  • Familiarity with focal length and its impact on image formation
  • Basic principles of optics and image characteristics
NEXT STEPS
  • Study the principles of lens optics, focusing on the lens maker's equation
  • Explore the characteristics of real and virtual images in detail
  • Learn about ray diagrams for both converging and diverging lenses
  • Investigate the effects of changing focal lengths on image size and clarity
USEFUL FOR

Students studying optics, physics educators, and anyone interested in the practical applications of lenses and mirrors in imaging systems.

pearlz4eva
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Homework Statement



True or False
1. A single diverging lens can only make a virtual image.
2. When parallel rays strike a concave spherical mirror with radius R they are focussed through a point R from the mirror.
3. An object placed at distance greater than the focal length of a converging lens will always make a real inverted image.
4. If a projector makes a perfect image on a screen, but the image is too large, you need a lens with a greater focal length.



2. The attempt at a solution

I thought all statements were False, but that was incorrect.
 
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pearlz4eva said:

Homework Statement



True or False
1. A single diverging lens can only make a virtual image.
2. When parallel rays strike a concave spherical mirror with radius R they are focussed through a point R from the mirror.
3. An object placed at distance greater than the focal length of a converging lens will always make a real inverted image.
4. If a projector makes a perfect image on a screen, but the image is too large, you need a lens with a greater focal length.



2. The attempt at a solution

I thought all statements were False, but that was incorrect.

Welcome to the PF.

What is your reasoning on each? Why do you think each is false? If you show us your work, we can better help you understand.
 

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