Question

For a prism of refracting angle A and refractive index 2. Assume rays are incident at all angles of incidence . Ignore partial reflection

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List 1
List 2All rays are reflected back from the second surfaceAll rays are refracted into air from the second faceSome rays are reflected back from second surfaceSome rays are refracted into air from the second surface
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Solution
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Using  
                            (As )
Here
This suggests that
1) if then the ray will graze on the face LN of the prism.
2)  if , then the ray will always be refracted from the face LN.
3) if , then always total internal reflection will occur.
Using snell' law for face LM,   
Thus for  
As  
Now for Case A;      
Hence all the rays will refract into the air.
For Case B;      
 
Hence some rays will refract and some will reflect.
For Case C;      
 
Hence all the rays will  be reflected back from face LN.
For Case D;      
 
Hence some rays will refract and some will reflect.

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