Water is moving with a speed of 5.18 ms−1 through a pipe with a cr

Discussion Forum : Mechanical Properties Of Fluids

Question -

Water is moving with a speed of 5.18 ms $^{-} 1$ through a pipe with a cross-sectional area of 4.20 $c m^{2}$ . The water gradually descends 9.66 m as the pipe increase in area to 7.60 $c m^{2}$ . The speed of flow at the lower level is

Options:

A . 3.0

m s^{- 1}

B . 5.7

m s^{- 1}

C . 3.82

m s^{- 1}

D . 2.86

m s^{- 1}

Answer: Option D
:
D

$a_{1} v_{1} = a_{2} v_{2}$

$\Rightarrow 4.20 \times 5.18 = 7.60 \times v_{2} \Rightarrow v_{2} = 2.86 m / s$

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