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Question: Answered & Verified by Expert
Light enters an isosceles right triangular prism at normal incidence through face $\mathrm{AB}$ and undergoes total internal reflection at face $\mathrm{BC}$ as shown below.


The minimum value of the refractive index of the prism is close to
PhysicsRay OpticsKVPYKVPY 2011 (SA)
Options:
  • A $1.10$
  • B $1.55$
  • C $1.42$
  • D $1.72$
Solution:
2886 Upvotes Verified Answer
The correct answer is: $1.42$
$\mathrm{i}=45^{\circ} \geq \mathrm{C}$
For minimum refractive index $C=45^{\circ}$
$\begin{array}{l}
\mu \sin 45^{\circ}=1 \\
\mu=2=1.42
\end{array}$

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