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A light ray is incident perpendicular to one face of a $90^{\circ}$ prism and is totally internally reflected at the glass-air interface. If the angle of reflection is $45^{\circ}$, we conclude that the refractive index $n$
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Verified Answer
The correct answer is:
$\mathrm{n}>\sqrt{2}$
$\mathrm{n}>\sqrt{2}$
Angle of incidence $\mathrm{i}>\mathrm{C}$ for total internal reflection. Here $\mathrm{i}=45^{\circ}$ inside the medium.
$$
\begin{aligned}
& \therefore 45^{\circ}>\sin ^{-1}(1 / n) \\
& \Rightarrow n>\sqrt{ } 2 .
\end{aligned}
$$
$$
\begin{aligned}
& \therefore 45^{\circ}>\sin ^{-1}(1 / n) \\
& \Rightarrow n>\sqrt{ } 2 .
\end{aligned}
$$
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