A) \[{{\cos }^{-1}}\left( \frac{2}{3} \right)\]
B) \[{{\cos }^{-1}}\left( \frac{2}{\sqrt{3}} \right)\]
C) \[{{\cos }^{-1}}\left( \frac{2}{3} \right)\]
D) \[{{\cos }^{-1}}\left( \frac{2}{\sqrt{3}} \right)\]
Correct Answer: C
Solution :
As \[_{1}{{\mu }_{2}}=\frac{1}{\sin \,C}\] \[\Rightarrow \] \[\frac{{{\mu }_{2}}}{{{\mu }_{1}}}=\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{1}{\sin \,C}\] \[\Rightarrow \] \[\frac{6000}{4000}=\frac{1}{\sin \,C}\] \[\Rightarrow \] \[C={{\sin }^{-1}}\left( \frac{2}{3} \right)\]
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