As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray gr

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 $\theta$ of prism is.

Accepted Answer

For grazing emergence$$sinr_{2} = \frac{1}{\mu} $$By Snell's Law at incident surface$${1 	imes \frac{1}{\sqrt{2}} = \sqrt{2}sinr_{1} }{r_{1} = 30 }{r_{1} + r_{2} = A }{A = 75 }{75 + 45 + 	heta = 180^{\circ} }{	heta = 60^{\circ}}$$ule.

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