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If the angle of refraction is $30$ °, what is the angle of incidence of light ray with refractive index $\sqrt 3$ ?

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30

60

90

None of these

answer is B.

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Detailed Solution

If the angle of refraction is

30

°, the angle of incidence of a light ray is

60

° for refractive index

\sqrt 3

.
Given that, refractive index =

\sqrt 3

Angle of refraction r =

30

° and we have to find out angle of incidence
Using the formula, refractive index =

\frac{sin i}{sin r}

⇨

\sqrt 3

\frac{sin i}{sin r}

⇨

sin i

\frac{\sqrt 3}{2}

⇨

i = 60



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