A) \[\frac{V{{R}^{2}}}{n{{r}^{2}}}\]
B) \[\frac{V{{R}^{2}}}{{{n}^{3}}{{r}^{2}}}\]
C) \[\frac{{{V}^{2}}R}{nr}\]
D) \[\frac{V{{R}^{2}}}{{{n}^{2}}{{r}^{2}}}\]
Correct Answer: A
Solution :
[a] Inflow rate of volume of the liquid = Outflow rate of volume of the liquid \[\pi {{R}^{2}}V=n\pi {{r}^{2}}(v)\Rightarrow v=\frac{\pi {{R}^{2}}V}{n\pi {{r}^{2}}}=\frac{V{{R}^{2}}}{n{{r}^{2}}}\]
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