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Question

# The rate of steady volume flow of water through a capillary tube of length 'l' and radius 'r' under a pressure difference of P is V. This tube is connected with another tube of the same length but twice the radius in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is P)

A
V16
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B
V10
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C
16V17
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D
17V16
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Solution

## The correct option is C 16V17Rate of flow of liquid V=PR where liquid resistance R=8ηlπr4 For another tube liquid resistance R′=8ηlπ(2r)4=8ηlπr416=R116 For the series combination VNew=8PR+R′=PR+R16=16P17R=V1617

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