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Question

Water is flowing through two horizontal pipes of different diameters which are connected together. The diameter of the two pipes are 3 cm and 6 cm respectively. If the speed of water in the narrower tube is 4 m/s, then the speed of water in the wider tube is

A
16 m/s
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B
1 m/s
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C
4 m/s
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D
2 m/s
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Solution

The correct option is B 1 m/s
From continuity equation,
A1v1=A2v2
v1v2=A2A1
A2 & v2 represents the cross-sectional area and velocity in the wider tube.
If d= diameter of pipe, then Ad2
v1v2=d22d21
v1=4 m/s
4v2=6232
v2=4×3262=1 m/s

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