Light Refracted through a Prism

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SUMMARY

The discussion centers on calculating the maximum angle \(\alpha\) for a glass prism with a refractive index of 1.66, ensuring no light refracts out of face AC when immersed in air. The key principle involved is Snell's Law, which governs the behavior of light at the interface of different media. Participants emphasize the need to determine the angle of incidence required for total internal reflection at the prism's hypotenuse face. The angle of incidence is established as \(90 - \alpha\), which is crucial for solving the problem.

PREREQUISITES
  • Understanding of Snell's Law and its application in optics
  • Knowledge of total internal reflection criteria
  • Familiarity with geometric optics and prism properties
  • Basic trigonometry for angle calculations
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  • Study the concept of total internal reflection in detail
  • Learn how to apply Snell's Law in various optical scenarios
  • Explore the properties of prisms and their refractive indices
  • Practice problems involving light refraction and reflection in prisms
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Students studying optics, physics enthusiasts, and educators looking to deepen their understanding of light behavior in prisms.

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Homework Statement



Light is incident along the normal to face AB of a glass prism of refractive index 1.66, as shown in the figure.

[PLAIN]http://img175.imageshack.us/img175/6339/yffigure3336.jpg

Find \alphamax, the largest value of the angle \alpha such that no light is refracted out of the prism at face AC if the prism is immersed in air.

Homework Equations


I know I'm supposed to use Snells Law, but I really have no idea how to obtain the answer.


The Attempt at a Solution



I know that the incident angle is equal to 90 - \alpha but that's all I know really.

Thanks
 
Last edited by a moderator:
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Yes the angle of incidence is 90-α
I've drawn it in your diagram. (i)
prism.jpg

You now need to find what angle i needs to be in order that there is total internal reflection at the hypotenuse face of the prism.
Using Snell's Law, do you know the criteria for total internal reflection?
 

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