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Working with total internal reflection - critical angle

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What is the critical angle for total internal reflection in plastic (polymethylmethacrylate) at an interface with air?

I believe the answer is 42.2^o. I need to see each step and formula to solve this question. Please assume I know nothing because this would be the correct assumption.

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Solution explains the concepts along with all mathematical steps to find the critical angle.

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The critical angle for total internal reflection is given by the relation,

Sin theta = n2/n1

where n2 ...

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