A) 4 : 9
B) 9 : 4
C) 8 : 27
D) 1 : 1
Correct Answer: A
Solution :
If velocities of water at entry and exit points are v1 and v2, then according to equation of continuity, \[{{A}_{1}}{{v}_{1}}={{A}_{2}}{{v}_{2}}\]Þ \[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{{{A}_{2}}}{{{A}_{1}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{2}}={{\left( \frac{2}{3} \right)}^{2}}=\frac{4}{9}\]
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