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A layer of water (n = 1.333) floats on carbon tetrachloride (n = 1.461) contained in...

A layer of water (n = 1.333) floats on carbon tetrachloride (n = 1.461) contained in an aquarium. To the nearest degree, what is the critical angle at the interface between the two liquids?

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Answer #1

Critical angle is the angle of incidence after which the light undergoes total internal reflection when it passes from a high density medium to a low density medium.

When angle of incidence equals critical angle, angle of refraction equals 90 degrees.

when ray passes from carbon tetrachloride, angle of incidence be 'i'.

By snell's law,

sin(i)/sin(r) = nr/ni

where nr and ni are indexes of refraction and incident mediums respectively.

So, sin(i)/sin(90) = 1.333/1.461

sin(i) = 0.912

i = 65.84 degrees

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