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Question: Answered & Verified by Expert
A ray of light is incident at an angle of incidence, $i$, on one face of a prism of angle $A$ (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is $\mu$, the angle of incidence $i$, is nearly equal to
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Options:
  • A $\mu A$
  • B $\frac{\mu A}{2}$
  • C $A / \mu$
  • D $A / 2 \mu$
Solution:
1208 Upvotes Verified Answer
The correct answer is: $\mu A$
Refractive index
$\begin{gathered}
\mu=\frac{\sin i}{\sin r} \\
\mu=\frac{\sin i}{\sin A}
\end{gathered}$
In case of small angle.
$\begin{aligned}
\mu & =\frac{i}{A} \\
i & =\mu A
\end{aligned}$

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