question_answer

A, B and C are the parallel sided transparent media of refractive indices \[{{n}_{1}},{{n}_{2}}\] and \[{{n}_{3}}\]respectively. They are arranged as shown in the figure. A ray is incident at an angle \[i\] on the surface of separation of A and B which is as shown in the figure. After the refraction into the medium B, the ray grazes the surface of separation of the madia B and C. Then, \[\sin i\] equals to

A) \[\frac{{{n}_{3}}}{{{n}_{1}}}\]                                    

B) \[\frac{{{n}_{1}}}{{{n}_{3}}}\]

C) \[\frac{{{n}_{2}}}{{{n}_{3}}}\]                                   

D) \[\frac{{{n}_{1}}}{{{n}_{2}}}\]

Correct Answer: A

Solution :

Applying Snell’s law between the surfaces A and B