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 / and having a pressure difference $P$ across its ends, is
A$V=\frac{\pi P r^4}{8 \eta l}$
B$V=\frac{\pi \eta}{8 P r^4}$
C$V=\frac{8 P \eta}{\pi r^4}$
D$V=\frac{\pi P \eta}{8 r^4}$
Medium
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A$V=\frac{\pi P r^4}{8 \eta l}$
a (a)
On checking the dimensionality the correct relation is
$V=\frac{\pi P r^4}{8 \eta l}$
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