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Question: A glass prism of refractive index 1.5 is immersed in water (R.I. = 4/3). The beam of light incident ...

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

A

Sin θ≥ 8/9

B

Sin θ< 2/3

C

2/3 < Sin θ< 8/9

D

None of these

Answer

None of these

Explanation

Solution

The light ray is just reflected internally at the point P (say). Therefore the critical angle ≅ θ. Applying Snell’s Law of refraction at the critical angle of incidence (θ) we obtain

⇒ sin θ = 89\frac { 8 } { 9 }