Optics Problem with a Double Lens System

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SUMMARY

The discussion focuses on solving an optics problem involving a double lens system with two converging lenses, each having a focal length of +15.0 cm. The first lens produces an image located 37.5 cm to the right, which serves as the object for the second lens. The second lens, with an object distance of -7.5 cm, results in a final image located 5 cm to the right of the second lens. The conclusions confirm that the final image is indeed positioned to the right of the second lens and to the left of the initial image.

PREREQUISITES
  • Understanding of lens formulas, specifically the thin lens equation: 1/f = 1/di + 1/do
  • Knowledge of object and image distances in optics
  • Familiarity with the concept of focal length in converging lenses
  • Basic skills in drawing ray diagrams for lens systems
NEXT STEPS
  • Study the derivation and applications of the thin lens equation in more complex systems
  • Learn how to construct ray diagrams for double lens systems
  • Explore the effects of varying focal lengths on image formation
  • Investigate real-world applications of double lens systems in optical devices
USEFUL FOR

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

blizzardof96
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Homework Statement


An object is 25.0 cm to the left of a lens with a focal length of + 15 .0 cm. A second lens of focal length +15.0 cm is 30.0 cm to the right of the first lens. Find the location of the final image and draw it out.

Homework Equations


1/f = 1/di + 1/do

The Attempt at a Solution



di=fdo/(do-f) = 37.5cm

The object of the second lens is the image of the first lens. This gives a second object distance of -7.5cm.

di2=f2do2/(do2-f2) = 5cm

Does this make physical sense? Would the second image be positioned to the right of the second lens in the diagram but to the left of the initial image?[/B]
 
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blizzardof96 said:
Does this make physical sense? Would the second image be positioned to the right of the second lens in the diagram but to the left of the initial image?
Yes and yes.
 

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