A) \[\mu >\frac{3\sqrt{3}}{2}\]
B) \[\mu >\sqrt{3}\]
C) \[\mu <\frac{3\sqrt{3}}{4}\]
D) \[\mu <\frac{3\sqrt{3}}{8}\]
Correct Answer: C
Solution :
Total internal reflection takes place when angle of incidence is greater than critical angle, Here, \[{{\mu }_{l}}=\mu ,{{\mu }_{g}}=\frac{3}{2}\] We know, \[\sin C=\frac{{{\mu }_{l}}}{{{\mu }_{g}}}=\frac{\mu }{3/2}=\frac{2\mu }{3}\] ?(i) Light suffers total internal reflection, \[i>C\]or \[{{60}^{o}}>C\] \[\Rightarrow \sin {{60}^{o}}>\sin C\Rightarrow \frac{\sqrt{3}}{2}>\frac{2\mu }{3}\] \[\therefore \] \[\mu <\frac{3\sqrt{3}}{4}\]You need to login to perform this action.
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