A pipe of diameter three cm is replaced by one of the same length but of diameter six cm.If the pressure difference between the ends of the pipe remains the same,by what factor is the rate of flow of a viscous liquid through it changed?
A)2
B)4
C)8
D)16

Question

Quizplus · Accepted Answer

The rate of flow of a viscous liquid through a pipe is proportional to the fourth power of the diameter (Poiseuille's law). Doubling the diameter from 3 cm to 6 cm increases the flow rate by a factor of 2^4 = 16.

A Pipe of Diameter Three Cm Is Replaced by One