A) \[{{30}^{o}}\]
B) \[60\times {{3}^{\frac{1}{3}}}\]
C) \[60\times {{3}^{\frac{2}{3}}}\]
D) \[60\times {{3}^{\frac{3}{3}}}\]
Correct Answer: A
Solution :
[a] \[\frac{\tan \,{{\theta }_{2}}}{\tan \,{{\theta }_{1}}}=\frac{d_{1}^{3}}{d_{2}^{3}}=\frac{{{r}^{3}}}{{{[r{{(3)}^{1/3}}]}^{3}}}=\frac{1}{3}\] \[\tan \,{{\theta }_{2}}=\frac{1}{3}\tan \,{{\theta }_{1}}=\frac{\tan 60}{3}=\frac{\sqrt{3}}{3}=\frac{1}{\sqrt{3}}\] \[\therefore \,\,\,\,\,{{\theta }_{2}}=30{}^\circ \]
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