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The cylindrical tube of a spray pump has a cross section of 8 ${cm}^{2}$ , one end of which has 10 fine holes each of diameter 2mm. If the liquid flow inside the tube is 1.5 m/min. What is speed of ejection of the liquid through the holes? (in $m s^{- 1}$ )

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0.32

0.56

0.64

0.4

answer is C.

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Detailed Solution

$\begin{array}{rcl} from equation of continuity na \cdot v & = & AV \\ 10 π {(0.1)}^{2} v & = & 8 \frac{1.5}{60} \\ v & = & \frac{1}{5} \frac{1}{0.1 π} \\ = & = 0.639 \end{array}$

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