A ray of light traveling in air is incident on the flat surface of a piece of gl

Question

A ray of light traveling in air is incident on the flat surface of a piece of glass at an angle of 66.8degree with respect to the normal to the surface of the glass. If the ray refracted into the glass makes an angle of 32.4degree with respect to the normal, what is the refractive index of the glass? A block of glass with flat sides is surrounded by air. A ray of light traveling in the glass (refractive index na) is incident on the flat interface with air at the top surface of the block of glass. You observe that no light is refracted into the air if the incident ray in the glass has an angle of incidence (measured relative to the normal to the surface of the glass) greater than 39.0degree. What is the refractive index of the glass?

Explanation / Answer

3)

refractive index = sin i / sin r = sin(66.8)/sin(32.4) = 1.715

4)

r = 90 degrees

so 1/na = sin(39)

=> na = 1.589

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