Diamond-air 27221

Find the cut-off angle for the diamond-air pair.
n_d = 2.42 α_m =?
The absolute refractive index of light for air n = 1

Correct answer:

A =  24.4075 °

Step-by-step explanation:

n2=2.42 n1=1 β=90   n2/n1 =sin β/sin α   sin α = n1/n2  α=arcsin(n1/n2)=arcsin(1/2.42)0.426 rad  A=α  °=α π180   °=0.426 π180   °=24.407  °=24.4075=24°2427"

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