Multiple Lens System(Objectless and Parallel Rays)

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SUMMARY

The discussion revolves around calculating the focal length of an eyepiece in a telescope system composed of two convex lenses. The objective lens has a focal length of 26 cm, and the distance between the two lenses is 30 cm. Using the lens formula 1/f = 1/d(object) + 1/d(image), the focal length of the eyepiece is determined to be 4 cm, derived from the difference between the distance and the focal length of the objective lens.

PREREQUISITES
  • Understanding of lens formulas, specifically 1/f = 1/d(object) + 1/d(image)
  • Knowledge of convex lenses and their properties
  • Familiarity with the concept of focal length in optics
  • Basic skills in drawing ray diagrams for optical systems
NEXT STEPS
  • Study the principles of ray optics and lens systems
  • Learn how to construct ray diagrams for telescopes
  • Explore the effects of varying focal lengths on image formation
  • Investigate the differences between objective and eyepiece lenses in telescopes
USEFUL FOR

Students studying optics, physics enthusiasts, and anyone interested in understanding telescope design and functionality.

JohnGaltis
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Homework Statement


Consider a telescope composed of two convex lenses, the objective lens and the eyepiece. The objective lens has a focal length of 26cm. Rays parallel to the principle axis enter the telescope through the objective lens and exit the telescope from the eyepiece as parallel rays. If the distance between the two lens is 30cm, find the focal length of the eyepiece.

Homework Equations


1/f = 1/d(object) +1/d(image)

The Attempt at a Solution


I am used to solving questions where rays come from an object and plugging in values. When rays are parallel and doesn't converge, how do I solve such a question? How do I start?

I know the rays entering the objective lens will converge on the focal point(26cm) since they are parallel rays.

Is the focal length of the eyepiece 4cm? (30cm-26cm)
 
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Hello John, :welcome:

According to your relevant equation: yes.
Make a drawing to check this out !
 
Ah- thank you, ByU.
 

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