A) \[{{\tan }^{-1}}(4)\]
B) \[{{\tan }^{-1}}\left( \frac{1}{3} \right)\]
C) \[{{\tan }^{-1}}\left( \frac{1}{4} \right)\]
D) \[{{\tan }^{-1}}(2)\]
E) \[{{\tan }^{-1}}\left( \frac{1}{8} \right)\]
Correct Answer: E
Solution :
\[\tan \theta =\frac{{{v}^{2}}}{rg}\] \[\Rightarrow \] \[\theta ={{\tan }^{-1}}\left( \frac{10\times 10}{80\times 10} \right)\] \[\left( \because v=36\times \frac{5}{18}=10\,m/s \right)\] \[={{\tan }^{-1}}\left( \frac{1}{8} \right)\]
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