Question

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 ' $\ell$ ' having a pressure ' $P$ ' across its ends, is

• A. $v =\frac{\pi Pr ^{4}}{8 \eta \ell}$
• B. $v =\frac{\pi \eta \ell}{8 Pr ^{4}}$
• C. $v =\frac{8 P \eta \ell}{\pi r ^{4}}$
• D. $v =\frac{\pi P \eta}{8 \ell r ^{4}}$

Answer 1

Answer: (A)

$V=\frac{\pi Pr^{4}}{8 \eta l} $
$=$ Rate of flow