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Q. A ray is incident at an angle of incidence $i$ on one surface of a small angle prism(with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is $\mu$. then the angle of incidence is nearly equal to:

NEETNEET 2020Ray Optics and Optical Instruments

Solution:

Light ray emerges from another surface normally, hence e(angle of emergence) = 0
image
$\Rightarrow r_{2}=0$
$r_{1}+r_{2}=A$
$\Rightarrow r_{1}=A$
Applying Snell’s law on first surface,
$1. sin\,i=\mu\,sin\,r_{1}$
For small angle , $sin\,\theta\, \approx\,\theta$ Hence,
$i=\mu\,A$