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A volume V of a viscous liquid flows per...

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

B

`(V)/(4)`

C

`(V)/(8)`

D

`(V)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
C

`(1)/(R_(P))=(1)/(R_(1))+(1)/(R_(2))+(1)/(R_(3))+(1)/(R_(4))rArr R_(P)=(R )/(4), Q=(pipr^(4))/(8etal)`
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