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

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4 times that in the other pipe

14times that in the other pipe

2 times that in the other pipe

12times that in the other pipe

answer is A.

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Detailed Solution

dA=2 cm and dB=4 cm ∴ rA=1 cm and rB=2 cmFrom equation of continuity, av = constant ∴vAvB=aBaA=πrB2πrA2=212⇒vA=4vB

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