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  4. A ray of light falls on a transparent, right-angled isosceles prism made from a glass of refractive index √2 . The incident ray falls normally on one of the equal sides of this prism. The ray will suffer

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Q. A ray of light falls on a transparent, right-angled isosceles prism made from a glass of refractive index $ \sqrt{2} $ . The incident ray falls normally on one of the equal sides of this prism. The ray will suffer

MGIMS WardhaMGIMS Wardha 2014

Solution:

Let the critical angle for air glass pair of media is given by c. Therefore, $ \mu =\frac{1}{\sin C},\sqrt{2}=\frac{1}{\sin C}\Rightarrow C=45{}^\circ $ By geometry, angle of incidence at hypotenuse surface of transparent right-angled isosceles prism is $ 45{}^\circ $ . Therefore, $ i=c=45{}^\circ $ Thus, total internal reflection doesnt occur as $ i $ is not $ >c $ . And. angle of refraction is $ 90{}^\circ $ .

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