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:

Options

A. V
B. `(V)/(4)`
C. `(V)/(8)`
D. `(V)/(16)`

Explanation

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