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  • Fountains usually seen in gardens are generated by a wide pipe with an enclosure at one end having many small holes. Consider one such fountain which is produced by a pipe of internal diameter <img

Fountains usually seen in gardens are generated by a wide pipe with an enclosure at one end having many small holes. Consider one such fountain which is produced by a pipe of internal diameter \mathrm{2 \mathrm{~cm}} in which water flows at a rate 3 \mathrm{~ms}^{-1}.  The enclosure has 100 holes each of diameter \mathrm{0.05 \mathrm{~cm}}. The velocity of water coming out of the holes is \mathrm{(in \, \, \mathrm{ms}^{-1} ):}

Option: 1

0.48


Option: 2

96


Option: 3

24


Option: 4

48


Answers (1)

\mathrm{\begin{aligned} & A_1 V_1=A_2 V_2 \\\\ & \pi\left(1 \times 10^{-2}\right)^2 \times 3 \\\\ & =100 \times \pi \frac{\left(0.05 \times 10^{-2}\right)^2}{4} \times V_2 \\\\ & \Rightarrow V_2=48 \mathrm{~m} / \mathrm{sec} . \end{aligned}}

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Sumit Saini

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