Optics 4 Question 14

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

(1981, 3M)

(a) sinθ>8/9

(b) 2/3<sinθ<8/9

(c) sinθ<2/3

(d) None of these

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Answer:

Correct Answer: 14. (a)

Solution:

  1. Let θc be the critical angle at face BC, then

Angle of incidence at face BC is i=θ

Total internal reflection (TIR) will take place on this surface if, i>θc or θ>θc or sinθ>sinθc or sinθ>89



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