The smallness of the critical angle theta C for diamond means that light is easi

Question

The smallness of the critical angle theta C for diamond means that light is easily "trapped" within a diamond and eventually emerges from the many cut faces. This makes a diamond more brilliant than stones with smaller n and larger theta C. Traveling inside a diamond, a light ray is incident on the interface between diamond and air. What is the critical angle for total internal reflection The refraction index for diamond is 2.74. Answer in units of degree. Your answer must, be within plusminus 0.1%

Explanation / Answer

Here ,

for n = 2.74

using snell's law

1 * sin(90) = sin(theta) * 2.74

sin(theta) = 0.364

theta = 21.41 degree

the cricitcal angle is 21.41 degree

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