As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes along the second surface.

If refractive index of the material of prism is $\sqrt{2}$ , the angle $θ$ of prism is: [2026]

Question

As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes along the second surface.

If refractive index of the material of prism is $\sqrt{2}$ , the angle $θ$ of prism is: [2026]

Smart Achievers · Accepted Answer

(4)

$\sqrt{2}$

$θ$

$By Snell's Law at incident surface$

$1 \times \frac{1}{\sqrt{2}} = \sqrt{2} \sin r_{1}$

$r_{1} = 30 °$

$r_{1} + r_{2} = A$

$A = 75 °$

$75 ° + 45 ° + θ = 180 °$

$θ = 60 °$

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