question_answer

A light ray incidents at angle of\[60{}^\circ \]in denser medium in such a way so that reflected and refracted rays remain perpendicular to each other. Refractive index of denser medium relative to rarer medium will be

A)  \[\mu =\sqrt{3}\]            

B)  \[\mu =\frac{1}{\sqrt{3}}\]

C)  \[\mu =\sqrt{2}\]

D)  \[\mu =\frac{1}{\sqrt{2}}\]

Correct Answer: A

Solution :

 According to question. \[\mu =\frac{\sin i}{\sin r}=\frac{\sin 60{}^\circ }{\sin 30{}^\circ }\] \[=\frac{\sqrt{3}/2}{1/2}=\sqrt{3}\]