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Q.

Two capillary tubes AB and BC are joined end to end at B, AB is 16cm long and of diameter 4 mm whereas BC is 4 cm long and of diameter 2 mm. the composite tube is held horizontally with A connected to a vessel of water giving a constant head of 3 cm and C is open to the air. Calculate the pressure difference between B and C

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a

2.4 cm

b

2.8 cm

c

1.2 cm

d

1.8 cm

answer is A.

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Detailed Solution

For tube AB ; l1 = 16 cm, r1 = 2 mm =0.2For tube BC: l2=4cm, r2 = 1mm = 0.1 cmLet h be the head of pressure at B over C, then it will be (3-h) at A over B.  Rate of flow through AB,Rate of flow through BC,But Q1 = Q2or 12-4h = h    or 5h = 12 or h = 2.4 cm
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