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CBSE Class 12 Physics 2014 Outside Delhi Set 1 Paper

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Question : 15 of 30
Marks: +1, -0
Two monochromatic rays light are incident normally on the face ABA B of an isosceles rightangled prism ABCA B C. The refractive indices of the glass prism for the two rays ' 1 ' and ' 2 ' are respectively 1.35 and 1.45 . Trace the path of these rays after entering through the prism.
Solution:  
Critical angle of ray ' 1 ':
sin  (c1)  =  1μ1=  11.35\sin \; (c_1) \;=\; \frac{1}{\mu_1} = \; \frac{1}{1.35}
c1  =  arcsin(  11.35)=47.79c_1 \;=\; \arcsin \left( \;\frac{1}{1.35} \right) = 47.79^{\circ}
Similarly, critical angle of ray '2':
sin  (c2)  =  1μ2=  11.45\sin \; (c_2) \;=\; \frac{1}{\mu_2} = \; \frac{1}{1.45}
c2  =  sin1(  11.45)=43.6c_2 \;=\; \sin^{-1} \left( \;\frac{1}{1.45} \right) = 43.6^{\circ}
Ray ' 1 ' and ' 2 ' will fall on the side AC at an angle of incidence (i) of 4545^{\circ}. Critical angle of ray ' 1 ' is greater than ii, so it will get refracted from the prism. Critical angle of ray ' 2 ' is less than that of ii, so it will undergo total internal reflection.
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