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 C8V 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. ∴V′V=(2r)4(r)4×l2l=162=8∴V′V=(2r)4(r)4×l2l=162=8 or V′=8V