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>> $A ray of light is incident at an angle o$

Question

A ray of light is incident at an angle of 60 $^{\circ}$ on one of the faces of a prism which has an angle of 30 $^{\circ}$ . The ray emerging out of prism makes an angle of 30 $^{\circ}$ with the incident ray. The refractive index of material is

A

$1.1$

B

$1.33$

C

$1.5$

D

$1.732$

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Updated on : 2022-09-05

Solution

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Correct option is D)

$δ = 3 0^{\circ} A = 3 0^{\circ}$ $i_{1} = 6 0^{\circ}$

$δ = (i_{1} + i_{2}) - A$

$30 = 60 + i_{2} - 30$

$\Rightarrow i_{2} = 0$

$\Rightarrow r_{2} = 0$

$r_{1} = 30$

$μ \times s i n r_{1} = s i n i$

$μ \times \frac{1}{2} = \frac{3}{2}$

$μ = 1.732$

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