a) A beam of light traveling in a block of glass (n=1.60) is incident on the top

Question

a) A beam of light traveling in a block of glass (n=1.60) is incident on the top
surface at an angle of 55° with respect to the normal. When a layer of oil is
placed on the top surface, the light is totally reflected in the glass. What is
the maximum possible index of refraction of the oil?

b) You look at the center of one face of a solid cube of glass on a line of sight
that makes a 55° angle with the normal to the cube face. What minimum
refractive index of the glass will let you see through the cube’s opposite
face?

Thanks!

Explanation / Answer

Using snell's law, n1sin1 = n2sin2

a) 1.6 sin(55) = n2 = 1.31

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