Properties Of Solids And Liquids Question 208

Question: Two water pipes of diameters 2 cm and 4 cm are connected with the main supply line. The velocity of flow of water in the pipe of 2 cm diameter is[MNR 1980]

Options:

A)4 times that in the other pipe

B)14 times that in the other pipe

C)2 times that in the other pipe

D)12 times that in the other pipe

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Answer:

Correct Answer: A

Solution:

dA=2cm anddB=4 cm

  rA=1 cm and rB=2 cm

From equation of continuity,av = constant

vAvB=aBaA=π(rB)2π(rA)2=(21)2vA=4vB



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