Geometrical optics LENSES Refraction

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Homework Help Overview

The problem involves geometrical optics, specifically focusing on the behavior of a lens made of glass with different refractive indices for red and violet light. The objective is to find the distance between the foci for these two colors of light.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the setup of the problem, including sketching the situation and identifying relationships between angles for the different beams. Questions arise regarding how to incorporate the radius of the lens into their calculations and the relevant formulas that may apply.

Discussion Status

The discussion is ongoing, with some participants suggesting the use of the lens maker's formula as a potential approach. There is an acknowledgment of the need to clarify how the radius relates to the angles of incidence.

Contextual Notes

Participants are working under the constraints of the problem statement, which specifies the refractive indices for different colors of light and the radius of the lens surfaces. There may be assumptions about the uniformity of the incident angles for both beams.

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Homework Statement




A lens is made of glass for which the refractive index is n[r]=1.5 for red beams and n[v]=1.52 for violet beams. radii of both surfaces are the same and equal R=1m. Find the distance between foci for red and violet beams

Homework Equations





The Attempt at a Solution

 
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What have you tried?
 
I tried to sketch the situation. there i can get all possible relations between angles on both of the beams. The incident angle will be the same for both two beams. But now, how can i introduce the radius in my relations. Is there any formula conecting a lense's radius with the angle of incidence?
 
thank you Kurdt.
 

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