Total internal reflection, Physics

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Light is shined into a glass rod. To guarantee the total internal reflection (TIR) happens to all the possible rays, what is the minimum index of refraction n for the glass?

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Hint: To make sure all rays TIR inside the rod, you just need to consider an extreme case, i.e., the incident angle q1 (on the top surface of glass rod) equals to 90o.


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