Angle of an emerging ray through two boundaries

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To calculate the angle of an emerging ray through two parallel boundaries, apply Snell's law at each boundary. The first boundary involves refraction from air into diamond, determining the angle of refraction, θ2. When the ray reaches the second boundary, the angle of incidence is equal to θ2, allowing for another application of Snell's law to find the angle of emergence back into air. Understanding the relationship between angles at each boundary is crucial for solving the problem. This approach provides a systematic way to determine the final angle of the ray.
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Thank-you for taking the time to read my problem. I am currently doing work with light and boundaries and have come across a question that I am having a hard time understanding. I know how to calculate angles when they go through one boundry but I can not figure out how to do it when there is 2 boundaries.

Look at the diagram. Calculate the angle of the emerging ray in air. Assume that the first and second boundaries are parallel.
Diagram: http://img27.imageshack.us/img27/6221/scan.jpg
(thanks to http://www.imageshack.us/ for the free image hosting)

I understand the question well. The ray is in air, crosses the boundary into the diamond, and then crosses the second boundary back into air where I have to figure out the angle. Where I am stumped is that second boundary. Thank-you for any help you may be able to give me.
 
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Snell's law-done twice

Apply Snell's law of refraction at each boundary. Question/hint: if the angle of refraction of the light after crossing the first boundary is \theta_2, what will be the angle of incidence of that light before crossing the second boundary?
 
Thank-you very much for your help. It was able to give me a good start into the question. :).
 

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