Combination of spherical lenses

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SUMMARY

The discussion focuses on the optical behavior of two combinations of lenses: a converging lens with a focal length of +15 cm and a diverging lens with a focal length of -15 cm, positioned 60 cm apart. When a bird is placed 25 cm in front of the converging lens, the image formed is virtual, upright, and reduced in size. Additionally, the height of the image of a 10 cm tall bird is calculated to be approximately 6.67 cm. In the second scenario, a diverging lens with a focal length of 9 cm and a converging lens with a focal length of 4 cm are analyzed, leading to the determination of the image position, type, and magnification for an object placed at x = -12 cm.

PREREQUISITES
  • Understanding of lens formulas and image formation
  • Familiarity with the concepts of real and virtual images
  • Knowledge of magnification calculations
  • Basic principles of optics, specifically thin lens theory
NEXT STEPS
  • Study the thin lens equation and its applications
  • Learn about the principles of image formation using multiple lenses
  • Explore the concept of magnification in optical systems
  • Investigate the effects of lens positioning on image characteristics
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Students of physics, optical engineers, and anyone interested in the principles of lens combinations and image formation in optics.

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Two thin lenses having focal lengths of +15 cm and -15 cm are positioned 60 cm apart. A bird stands 25 cm in front of of the converging lens.

a. describe the image of the bird. Is it real or virtual? Upright or inverted? Magnified or reduced?

b. If the bird is 10 cm in height, what is the height of its image?
 
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Combination of lenses

Two thin lenses having focal lengths of +15 cm and -15 cm are positioned 60 cm apart. A bird stands 25 cm in front of of the converging lens.

a. describe the image of the bird. Is it real or virtual? Upright or inverted? Magnified or reduced?

b. If the bird is 10 cm in height, what is the height of its image?
 
Combination of lenses (Convex & Concave)

Two lenses are placed on the x-axis of a line. The first lens is a diverging lens with a focal length of 9 cm placed x= -8 cm. The second lens is a converging lens with focal length 4 cm placed x= 6 cm. If an object is placed at x= -12 cm, what is the position of the image, image type (virtual or real), and the magnification of the image?
 

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