A water spray gun is attached to a hose of cross sectional area $30\ \text{cm}^2$. The gun comprises of $10$ perforations each of cross sectional area of $15\ \text{mm}^2$. If the water flows in the hose with the speed of $50\ \text{cm/s}$, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)
Answer: (B) $10$ m/s
Concept. Continuity: flow in $=$ flow out, with $n$ holes: $A_1v_1=nav_2$.
Step 1. Solve. $v_2=\dfrac{30\times10^{-4}\times0.5}{10\times15\times10^{-6}}=10$ m/s.
Answer. Option B.
Solution by Sreeraj P, M.Sc Physics


