A light ray enters through a right angled prism at point P with the angle of incidence 30^ as shown in figure. It travels through the prism parallel to its base B C and emerges along the face A C. The refractive index of the prism is:

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Correct answer: A. 5 2

In prism, r_1+c=A gathered r_1=90^ -c (1)\ c= 1 c= ^2-1 gathered Apply Snell's law, on incidence surface aligned 1 30^ = (r_1 ) 1 1 2 & = (90^ -c ) \ 1 2 & = ^2-1 aligned On squaring 1 4 = ^2-1 ^2= 5 4 = 5 2

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