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Question

The rate of flow of water in a capillary tube of length l and radius r is V. The rate of flow in another capillary tube of length 2l and radius 2r for same pressure difference would be

A
16V
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B
9V
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C
8V
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D
2V
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Solution

The correct option is C 8V
Rate of flow of water through a capillary tube is
V=πPr48ηlV=πPr48ηl
where
P=P= pressure difference at the two ends of tube
l=l= length of tube, r=r= radius of tube
η=η= coefficient of viscosity of water
As P,ηP,η remain the same.
VV=(2r)4(r)4×l2l=162=8∴V′V=(2r)4(r)4×l2l=162=8
or V=8V

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