A volume V of a viscous liquid flows per unit time due to a pressure head `DeltaP` along a pipe of diameter d and length l. instead of this pipe a set of four pipes each of diameter `(d)/(2)` and length 2l is connected to the same pressure head `DeltaP`. Now the volume of liquid flowing per unit time is:A. `(V)/(16)`B. `(V)/(8)`C. `(V)/(4)`D. `V`

A volume V of a viscous liquid flows per unit time due to a pressure h

1.	A volume V of a viscous liquid flows per unit time due to a pressure head `DeltaP` along a pipe of diameter d and length l. instead of this pipe a set of four pipes each of diameter `(d)/(2)` and length 2l is connected to the same pressure head `DeltaP`. Now the volume of liquid flowing per unit time is:A. `(V)/(16)`B. `(V)/(8)`C. `(V)/(4)`D. `V`
Answer» Correct Answer - B `V=(piPr^(4))/(8 l eta),Vprop(r^(4))/(l)` `(V_(1))/(V_(2))=((r_(1))/(r_(2)))^(4)xx(l_(2))/(l_(1))=32,V_(2)=(V)/(32)` For 4 pipes, `V_(2)^(1)=4V_(2)=4xx(V)/(32)=(V)/(8)`

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