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A ray of light incident on a glass sphere (refractive index $\sqrt{3}$ ) suffers total internal reflection before emerging out exactly parallel to the incident ray. The angle of incidence was
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Verified Answer
The correct answer is:
$60^{\circ}$
$$
\begin{array}{l}
\angle \mathrm{i}=2 \angle \mathrm{r} \\
\frac{\operatorname{sini}}{\sin \mathrm{r}}=\sqrt{3} \\
2 \cos \mathrm{r}=\sqrt{3} \\
r=30^{\circ} \& \mathrm{i}=60^{\circ}
\end{array}
$$
Note : But for $r=30^{\circ} \mathrm{TIR}$ cannot take place at $\mathrm{B}$.
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