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 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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