A light ray is incident perpendicular to one face of a 90∘ prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45∘, we conclude that the refractive index n
n>1√2
n<1√2
n>√2
n<√2
A
n>√2
B
n<√2
C
n>1√2
D
n<1√2
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Solution
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Given,
The incident angle is i=45∘
The critical angle is θc
It can be observed that
i>θc
Hence,
sini>sinθc
The critical angle is given as
sinθc=1n
Where n is the refractive index of prism
Therefore,
sini>1n
Substituting i=45∘
sin45∘>1n
1√2>1n
n>√2 .
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