A) equal to \[{{\sin }^{-1}}\left( \frac{2}{3} \right)\]
B) equal to or less than \[{{\sin }^{-1}}\left( \frac{3}{5} \right)\]
C) equal to or greater than \[{{\sin }^{-1}}\left( \frac{3}{4} \right)\]
D) less than \[{{\sin }^{-1}}\left( \frac{2}{3} \right)\]
Correct Answer: C
Solution :
In total internal reflection, the angle of incidence (i) must be greater than critical angle C \[\because \] \[2{{\mu }_{1}}=2\,\text{and}\,{{\mu }_{2}}=\frac{3}{2}\] \[2\sin i\ge \,\frac{3}{2}\sin {{90}^{o}}\] \[\sin i\ge \,\frac{3}{4}\] \[i\ge {{\sin }^{-1}}\,\left( \frac{3}{4} \right)\]
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