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A light ray enters a rectangular glass slab at point A at an incident angle of 45 degrees and then undergoes total internal reflection at point B as shown in the Figure. What minimum value of the index of refraction of the glass can be inferred from this information?

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Requiring total internal reflection at the point B implies

and Snell’s Law applied at the point A gives

n sin (θ1) = sin  (θ0),

where n is the index of refraction of the glass and θ0 is the incident angle. Squaring the first equation and using the second equation gives

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