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Question

Water is flowing through a horizontal tube of non - uniform cross - section. At a place the radius of the tube is 1.0 cm and the velocity of water is 2 m/s. Then, what will be the velocity of water at a point where the radius of the pipe is 2.0 cm?

A
1 m/s
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B
0.25 m/s
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C
20 m/s
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D
0.5 m/s
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Solution

The correct option is D 0.5 m/s
Using equation of continuity,
A1v1=A2v2
v2=(A1A2)v1
or v2=(πr21πr22)v1=(r1r2)2v1
Substituting the values, we get
v2=(1.0×1022.0×102)2(2)
or v2=0.5 m/s

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