A glass prism of refractive index 1.5 is immersed in water (refractive index 4/3). A light beam normally on the face AB is totally reflected to reach on the face BC if
sinθ≥89
23<sinθ≥89
sinθ≤23
sinθ≤89
A
sinθ≥89
B
23<sinθ≥89
C
sinθ≤89
D
sinθ≤23
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Solution
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The phenomenon of total internal reflection takes place during reflection at P. sinθ=1wgμ....(i) where θ is the angle of incidence at P. Now, wgμ=aghagμ=1.54/3=1.125 Putting in (i), sinθ=11.125=89 Therefore, sinθ should be greater than 89.
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