Q.

Two capillary tubes A and B of equal radii ra = rb = r and equal lengths la = lb = l are held horizontally. When the same pressure difference P is maintained across each tube, the rate of flow of water in each is Q. If the tubes are connected in series and the same pressure difference P is maintained across the combination, the rate of flow through the combination will be

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a

Q2

b

Q

c

2Q

d

Q2

answer is A.

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Detailed Solution

volume rate =Q=πPr48ηl& V∝1lA series combination of two identical capillary tubes, each of length l and radius r, is equivalent to a tube of length 2l and radius r. Since Q is inversely proportional to l, if l is doubled, Q becomes half. Hence the correct choice is (a).
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Two capillary tubes A and B of equal radii ra = rb = r and equal lengths la = lb = l are held horizontally. When the same pressure difference P is maintained across each tube, the rate of flow of water in each is Q. If the tubes are connected in series and the same pressure difference P is maintained across the combination, the rate of flow through the combination will be