A) 1-732
B) 1-5
C) 1-4
D) 1-5
Correct Answer: A
Solution :
Angle of incidence \[i={{60}^{o}}\] is given As it is clear that the angle of reflection = angle of incidence Angle of reflection \[=60{}^\circ \] As the reflected and refracted rays are mutually perpendicular. Hence, angle of refraction \[r=\text{ }\!\![\!\!\text{ }180{}^\circ -(90{}^\circ +60{}^\circ )\text{ }\!\!]\!\!\text{ }=30{}^\circ \] Now, the refractive index of plate is \[\mu =\frac{\sin i}{\sin r}=\frac{\sin {{60}^{o}}}{\sin {{30}^{o}}}\] \[=\frac{0.866}{0.6}\] \[=1.732\]
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