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Q.

The cylindrical tube of a spray pump has a cross-section of 8 cm^2,one end of which has 40 fine holes each of area 10^-8 $m^{2}$ . If the liquid flows inside the tube with a speed of 0.15 m $\min^{- 1}$ , the speed with which the liquid is ejected through the holes is

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a

0.05 ${ms}^{-1}$

b

0.5 ${ms}^{-1}$

c

5 ${ms}^{-1}$

d

50 ${ms}^{-1}$

answer is B.

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Detailed Solution

According to equation of continuity,

(area $a$ ) x (velocity $v$ ) = constant

$A v_{1} = A v_{2}$

$v_{2} = \frac{A_{1} V_{1}}{A_{2}} = \frac{8 \times 10^{- 4} \times \frac{0.15}{60}}{40 \times 10^{- 8}} = 5 m / s$

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The cylindrical tube of a spray pump has a cross-section of 8 cm2, one end of which has 40 fine holes each of area 10-8 m2 . If the liquid flows inside the tube with a speed of 0.15 m min−1 , the speed with which the liquid is ejected through the holes is