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A dimensionally consistent relation for the volume $V$ of a liquid of coefficient of viscosity $\eta $ flowing per second through a tube of radius $r$ and length $l$ and having a pressure difference $p$ across its end, is
  • A$V = \frac{{\pi p{r^4}}}{{8\eta l}}$
  • B$V = \frac{{\pi \eta l}}{{8p{r^4}}}$
  • C$V = \frac{{8p\eta l}}{{\pi {r^4}}}$
  • D$V = \frac{{\pi p\eta }}{{8l{r^4}}}$
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