The cylindrical tube of a spray pump has radius $R$, one end of which has $n$ fine holes, each of ra

Question

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\

Professor PC Thomas Classes · Answer

(d) : Let the speed of the ejection of the liquid through the holes be $v$. Then according to the equation of continuity,\ $\pi R^{2} V=n \pi r^{2} v \quad$ or $\quad v=\frac{\pi R^{2} V}{n \pi r^{2}}=\frac{V R^{2}}{n r^{2}}$