Reflection and Refraction - GRE Subject Test: Physics

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Question

A beam of light travels through a medium with index of refraction until it reaches an interface with another material, with index of refraction . No light is transmitted into the second material. At what angle (measured from the plane of the interface between the two materials) does the beam hit the second material?

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Answer

Total internal reflection occurs at the angle:

However, this angle is measured from a line normal to the plane of the interface; the angle we want, therefore, is , which is .

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