Answer:
(a) Increase 16 times
Explanation:
According to the Poiseuille flow equation the rate of flow of fluid is directly related to four time square of the radius of the vessel.
[tex]F\alpha r^{4}[/tex]
Here, F is the rate of flow, and r is the radius of vessel.
Now according to the question diameter is increased by 2 times then radius is also increased by two times than radius becomes 2r.
So put this value in the flow equation.
[tex]F\alpha (2r)^{4}\\F\alpha 16r^{4}[/tex]
Therefore, the rate of flow is increased by 16 times.