Ray Optics And Optical Instruments Ques 58

58. A ray of light is incident at an angle of incidence, $i$, on one face of 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:

[2012]

(a) $\mu A$

(b) $\frac{\mu A}{2}$

(c) $\frac{A}{\mu}$

(d) $\frac{A}{2 \mu}$

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Answer:

Correct Answer: 58.(a)

Solution:

  1. (a) For normally emerge $e=0$

Therefore $r_2=0$ and $r_1=A$

Snell’s Law for incident ray’s

$1 \sin i=\mu \sin r_1=\mu \sin A$

For small angle

$i=\mu A$