Consider an equilateral prism (refractive index 
). A ray of light is incident on its one surface at a certain angle 
. If the emergent ray is found to graze along the other surface then the angle of refraction at the incident surface is close to 
.
Text Solution
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Given an equilateral prism, the angle of the prism is 
.
The refractive index of the prism is 
.
The emergent ray grazes the second surface, which means the angle of emergence is 
.
Applying Snell's law at the second surface: 
.
.
, which gives 
.
For a prism, we know the relation 
.
Substituting the values: 
.
.
The angle of refraction at the incident surface is 
.
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