A) \[{{30}^{o}}\]
B) \[{{60}^{o}}\]
C) \[{{45}^{o}}\]
D) \[{{90}^{o}}\]
Correct Answer: A
Solution :
\[\frac{{{\mu }_{2}}}{{{\mu }_{1}}}=\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{1}{2}\Rightarrow \frac{{{\mu }_{1}}}{{{\mu }_{2}}}=2({{\mu }_{1}}>{{\mu }_{2}})\] For total internal reflection \[_{2}{{\mu }_{1}}=\frac{1}{\sin C}\Rightarrow \frac{{{\mu }_{1}}}{{{\mu }_{2}}}\] \[=\frac{1}{\sin C}\Rightarrow 2=\frac{1}{\sin C}\Rightarrow C={{30}^{o}}\] So, for total (Internal reflection angle of incidence must be greater than 30°.
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