Two right–angled 30 0 –60 0 –90 0 glass prisms are cemented along the hypotenuse by Canada balsam, where µ = 1.632. What should be the minimum refractive index of the material of the prisms so that the ray passing through one end may be totally reflected?

Text Solution
Verified by ExpertsThe correct answer is:
A
The angle of incidence on the layer is 60 0 , So the ray is totally reflected if 60º ≥ C, where C is the critical angle for glass balsam surface.
sin 60 0 ≥ sin C or
≥ sin C
≥ 
µ ≥ 1.88
µ min = 1.88
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