Geometrical OpticsHard

Question

A glass prism of refractive index 1.5 is immersed in water (refractive index 4/3). Light beam incident normally on the face AB is totally reflected to reach the face BC if
        

Options

A.sin θ > 8/9
B.2/3 < sin θ > 8/9
C.sin θ > 2/3
D.none of these

Solution

        
Let θc be the critical angle at face BC, then
sin θc =
Angle of incidence at athe face BC is i = θ
Total internal reflection (TIR) will take place on this surface if
        i > θc
or       θ > θc
or       sin θ > sin θ
or       sin θ >
∴ Correct option is (a).

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