The cylindrical tube of a spray pump has radius $R,$ one end of which has $n$ fine holes, each of radius $r.$ If the speed of the liquid in the tube is $v,$ the speed of the ejection of the liquid through the holes is
AIPMT 2015, Medium
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Let the speed of the ejection of the liquid through the holes be $v$, Then according to the equation of continuity,
$\pi {R^2}V = n\pi {r^2}v\,\,or\,\,v = \frac{{\pi {R^2}V}}{{n\pi {r^2}}} = \frac{{V{R^2}}}{{n{r^2}}}$
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