Critical Angle Prism: Find Theta with n=1.90

AI Thread Summary
To determine the maximum angle (theta) for total internal reflection in a triangular prism with an index of refraction of n = 1.90, the critical angle equation sin(critical angle) = n1/n2 is initially misapplied. The correct approach involves using the equation sin(θ1)/sin(θ2) = n2/n1. This adjustment is necessary to account for the transition from the prism to air. The discussion highlights the importance of correctly identifying the refractive indices in the context of total internal reflection. Accurate application of these principles is crucial for solving the problem effectively.
Aeighme
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Homework Statement


A corner reflector is to be made from a triangular prism with index of refraction n = 1.90, as shown in the diagram below. What is the maximum angle, with respect to the normal to the front surface of the prism, (theta), such that total reflection will occur?
http://capa.sci.geneseo.edu/teacher/capalibrary/Graphics/Gtype73/prob02.gif (link to image)

Homework Equations


sin(critical angle)=(n1/n2)


The Attempt at a Solution


Tried using that equation, failed miserably.
 
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Hi Aeighme! :smile:
Aeighme said:
sin(critical angle)=(n1/n2)

No … that's the equation for the maximum angle from glass (or whatever) into air.

You need the ordinary sinθ1/sinθ2 = n2/n1 :smile:
 
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