A beam of laser light with wavelength 612 nm is directed through a slab of glass

Question

A beam of laser light with wavelength 612 nm is directed through a slab of glass having index of refraction 1.64.
(a) For what minimum incident angle would a ray of light undergo total internal reflection?


(b) If a layer of water is placed over the glass, what is the minimum angle of incidence on the glass-water interface that will result in total internal reflection at the water-air interface? (The beam of light is directed upward through the slab of glass, through the layer of water, and experiences total internal reflection at the water-air interface on top.)


I got 37.57 for part a, which is correct. I've put both 54.19 and 48.75 for part b, and it says "Your response differs from the correct answer by more than 10%. Double check your calculations."

Explanation / Answer

c = sin-1 (n2/n1) =sin-1 (1/1.64) = 37.57 degrees

c = sin-1 (n2/n1) =sin-1 (1.33/1.64) = 54.19 degrees

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