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Light travels from plastic (n=2.0) to an unknown substance, and total internal reflection occurs at 60...

Light travels from plastic (n=2.0) to an unknown substance, and total internal reflection occurs at 60 degrees from the normal. What is the index of refraction of the second substance? Keep 2 digits after decimal point. Your answer should be formatted like: 0.00

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Answer #1

for incident angle equal to critical angle.

i = 60 deg  

refraction angle, r = 90 deg

Applying snell's law,

ni sin(i) = nr sin(r)

2 sin(60) = n sin90

n = 1.73

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