Find Focal Length of Biconcave Lens with Galilean Telescope

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SUMMARY

The discussion focuses on determining the focal length of a biconcave lens used in a Galilean telescope setup, where the objective lens is a convex lens with a focal length of 20 cm. The biconcave lens is positioned 15 cm from the convex lens, and the distance from the objective lens to the screen is measured at approximately 22 cm. The thin lens law, expressed as 1/f=(n-1)(1/r1 - 1/r2), is referenced, although the lack of specific values for the radius of curvature and refractive index complicates the application of this formula. The participant concludes that the light entering the biconcave lens is not parallel, which affects the convergence of light and the determination of the focal length.

PREREQUISITES
  • Understanding of the thin lens law and its application.
  • Familiarity with ray diagrams for lens systems.
  • Knowledge of lens types, specifically convex and biconcave lenses.
  • Basic principles of optics, including light behavior through lenses.
NEXT STEPS
  • Research the application of the thin lens law with specific examples involving biconcave lenses.
  • Study ray diagram techniques for complex lens systems.
  • Explore methods for measuring the focal length of lenses experimentally.
  • Investigate the effects of lens radius and refractive index on focal length calculations.
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Students and educators in optics, physics enthusiasts, and anyone involved in experimental lens design and analysis.

davevresk
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1. For a Lab I have set up a "galilean telescope" where the objective lens a convex lens with focal length about 20 cm (F) and a biconcave lens of unknown focal length. I placed the biconcave lens at about 15 cm away from the convex lens as the ocular (so closer than the focal point) and then focused parallel light onto a screen. The distance between the screen and the objective lens was measured to be slightly longer than the focal length of the objective lens (about 22 cm). The question is to find the focal length of the biconcave lens using ray diagrams and the thin lens law.



Homework Equations


Thin lens law: 1/f=(n-1)(1/r1 - 1/r2) where n is the refractive index of the lens.

The Attempt at a Solution


I have drawn a ray diagram but it doesn't seem to match what is in the textbook. The book only shows diagrams where light enters the biconcave lens and come out parallel, but that wouldn't focus the light right? So it must not come out parallel in this case. So in my diagram the incident (parallel) light is bent inwards by the objective lens to a focal point that is beyond the ocular lens, so before it is actually focused, it goes through the ocular (biconcave) lens at which point it is bent to an angle that doesn't converge quite as fast so it focuses at point beyond the focal point of the objective light. I don't really know how this helps me because the light entering the ocular is not parallel and so it doesn't converge on the lens focal point (or does it). Also we are not given the radius of the lenses or the index of refraction in the lab manual, so I don't really see how thin lens law really helps at all.
 
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nm, i think i figured it out
 

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