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Question

The rate of flow of a liquid through a capillary tube is:

A
directly proportional to the length of the tube.
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B
inversely proportional to the difference of pressure between the ends of the tube.
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C
directly proportional to the 4th power of the radius of the tube.
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D
independent of the nature of the liquid.
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Solution

The correct option is B directly proportional to the 4th power of the radius of the tube.
According to poiseuille's equation, the rate of flow of a liquid in capillary tube is given by
Q=πr4ΔP8μL
where
Q=flow rate
r=radius of the capillary tube
ΔP=pressure difference
L=length of pipe/tube
μ=coefficient of viscosity
Hence rate of flow of liquid through a capillary tube is directly proportional to the 4th power of the radius of the tube.
so the correct option is 'C'

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