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

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 ms−1

B . 5.7 ms−1

C . 3.82 ms−1

D . 2.86 ms−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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