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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 half the radius in series. Then the rate of steady volume flow through them is (The pressure difference across the combination is P)

A

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B

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C

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D

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Solution

## The correct option is B Rate of flow of liquid V=PR where liquid resistance R=8 nlπr4 For another tube liquid resistance R′=8nlπ(r2)4=8nlπr4.16=16R For the series combination VNEW=PR+R′=PR+16R=P17R=V17

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