A) \[{{\sin }^{-1}}\frac{4}{5}\]
B) \[{{\sin }^{-1}}\frac{5}{4}\]
C) \[{{\sin }^{-1}}\]\[\frac{1}{2}\]
D) \[{{\sin }^{-1}}\frac{2}{1}\]
Correct Answer: A
Solution :
\[_{w}{{\mu }_{g}}=\frac{1}{\sin C}\Rightarrow \frac{{{\mu }_{g}}}{{{\mu }_{w}}}=\frac{5/3}{4/3}=\frac{1}{\sin C}\] \[\Rightarrow \sin C=\frac{4}{5}\Rightarrow C={{\sin }^{-1}}\left( \frac{4}{5} \right)\]
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