Answer :

Using Snell’s law,


where n1 is the refractive index of medium 1, n2 is the refractive index of medium 2, i is the angle of incidence and r is the angle of refraction.


How do we measure r? We measure it from the normal in the direction in which the original ray would pass undeflected.



Note that i is always less than 90°. Hence, is always positive. Now, n2 is also positive but n1 is negative. Hence, sin(i) is also negative. Hence, r must be in the 3rd or 4th quadrant. The only time r is in the 3rd or 4th quadrant is in option (a).

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