Optics, refraction at spherical surface

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SUMMARY

The discussion centers on the concept of refraction at a spherical surface, specifically addressing the calculation of the distance to an "unilluminated patch" from a cylinder. The critical angle is identified as a key factor in determining the point of intersection for light rays. Participants clarified that only a single point will be illuminated, while the rest remains unilluminated. The hints provided by users effectively guided the original poster to a solution.

PREREQUISITES
  • Understanding of refraction principles
  • Familiarity with critical angle concepts
  • Basic knowledge of light ray behavior at spherical surfaces
  • Experience with geometric optics problems
NEXT STEPS
  • Study the derivation and application of Snell's Law in refraction scenarios
  • Explore the concept of total internal reflection and its implications
  • Investigate the behavior of light rays at different types of optical surfaces
  • Learn about the applications of critical angle in optical devices
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding light behavior at spherical surfaces and refraction phenomena.

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Homework Statement


(see attachment)


Homework Equations





The Attempt at a Solution


I don't quite understand the question. It asks the distance of the "unilluminated patch" from the cylinder. There will be only a single point where the rays will intersect. Rest everywhere, it is unilluminated or am I missing something?

Any help is appreciated. Thanks!
 

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Hi Pranav-Arora! :smile:

Hint: critical angle. :wink:
 
tiny-tim said:
Hi Pranav-Arora! :smile:

Hint: critical angle. :wink:

Thanks a lot tiny-tim! That solved the problem in an instant. :smile:
 

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