First slide

Ray optics

Question

The refractive index of the material of a prism is $\sqrt{2}$ and its refracting angle is $30^{0}$ . One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face retraces its path, after reflection from mirrored surface, if its angle of incidence on prism is

Moderate

A

$0^{0}$
B

$30^{0}$
C

$45^{0}$
D

$60^{0}$

Solution

$i f i t i s r e t r a c i n g f r o m m i r r o r e d s u r f a c e i t m u s t b e f a l l i n g n o r m a l l y i_{2} = o a n d r_{1} = A = 30^{0} μ = \frac{S i n i_{1}}{S i n r_{1}} s o l v i n g i_{1} = 45^{0}$

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