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  • A glass prism of refractive index 1.5 is immersed in water   . A light beam inc

A glass prism of refractive index 1.5 is immersed in water  (\mu=4 / 3) . A light beam incident normally on the face A B is totally reflected to reach the face B C if

Option: 1

\mathrm{ \sin \theta>8 / 9 \\ }


Option: 2

\mathrm{2 / 3<\sin \theta<8 / 9}


Option: 3

\mathrm{ \sin \theta \leq 2 / 3 }


Option: 4

\mathrm{\cos \theta \geq 8 / 9}


Answers (1)

best_answer

From the figure, it is clear that TIR takes place at A C, only if  \mathrm{\theta>C} 

\mathrm{\Rightarrow \sin \theta>\sin C \Rightarrow \sin \theta>\frac{1}{\mu_{\mathrm{g}}} }
\mathrm{\Rightarrow \sin \theta>\frac{1}{9 / 8} \Rightarrow \sin \theta>\frac{8}{9} }.

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vinayak

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