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Poiseuille's Law describes flow rate through a cylinder. Which of the following statments is correct?Question 5Select one:a.Poiseuille's Law applies to laminar flow.b.Poiseuille's Law only applies in the absence of friction.c.Poiseuille's Law applies to a tube with varying radius.d.The flow rate is proportional to the length of the tube.e.The liquid flows due to its weight, and the effect of the flow is to cause a pressure difference between the ends of the tube.

Question

Poiseuille's Law describes flow rate through a cylinder. Which of the following statments is correct?Question 5Select one:a.Poiseuille's Law applies to laminar flow.b.Poiseuille's Law only applies in the absence of friction.c.Poiseuille's Law applies to a tube with varying radius.d.The flow rate is proportional to the length of the tube.e.The liquid flows due to its weight, and the effect of the flow is to cause a pressure difference between the ends of the tube.

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Solution

The correct statement is a. Poiseuille's Law applies to laminar flow.

Here's why:

a. Poiseuille's Law applies to laminar flow. This is correct. Poiseuille's Law is used to describe the flow of viscous fluids through small tubes, which is typically laminar flow.

b. Poiseuille's Law only applies in the absence of friction. This is incorrect. The law actually takes into account the friction between the fluid and the walls of the tube.

c. Poiseuille's Law applies to a tube with varying radius. This is incorrect. The law applies to tubes with a constant radius.

d. The flow rate is proportional to the length of the tube. This is incorrect. According to Poiseuille's Law, the flow rate is inversely proportional to the length of the tube.

e. The liquid flows due to its weight, and the effect of the flow is to cause a pressure difference between the ends of the tube. This is partially correct. While it's true that a pressure difference is required for flow, it's not necessarily caused by the weight of the fluid. Poiseuille's Law describes the flow rate in terms of the pressure difference, the length and radius of the tube, and the viscosity of the fluid.

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