A right angled prism with an apex angle 300 is shown in the figure. A ray of monochromatic light is incident on one surface at an angle of 600 and emerges normal to the other surface. The refractive index of the material of the prism is

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A right angled prism with an apex angle 30⁰ is shown in the figure. A ray of monochromatic light is incident on one surface at an angle of $60^{0}$ and emerges normal to the other surface. The refractive index of the material of the prism is

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$1.5$

$\frac{4}{3}$

$\sqrt{3}$

$\sqrt{2}$

answer is C.

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Detailed Solution

$r_{2} = 0 \Rightarrow r_{1} = A = 30^{0}$

$1 \times \sin 60 = μsin 30$

$\frac{\sqrt{3}}{2} = \frac{μ}{2} \Rightarrow μ = \sqrt{3}$

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