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A ray of light is incident at an angle of 60^@ on one face of prism which has an angle of 30^@. The ray emerging out of the prism makes an angle of 30° with the incident ray. Show that the emergent ray is perpendicular to the face through which it emerges and calculate the refractive index of the material of the prism. |
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Answer» Solution :According to given PROBLEM, ` A = 30^@, i_1 = 60^@and delta= 30^@` and asin aprism` delta= (i_1+i_2)-A ` ` 30^@ = ( 60^@+i_2) - 30^@` ` i.e.,i_2 =0^@` so thetemergentray is perpendicular to the face from which it emerges. Now as `i_2 =0 ,r_2=0` But as ` r_1+r_2=A,r_1= A=30^@` soatfirstface,1xsin `60^@= musin30^@i.e.,mu= sqrt(3)` 
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