Poiseuille's Flow (conceptual)
Hardphysics
Volumetric flow rate through capillary depends most strongly on radius as?
Select the correct option:
Solution
Incorrect! Answer:
r4
- Context: Poiseuille's Law describes the steady, laminar flow of a viscous liquid through a cylindrical tube.
- Formula: Q=8ηLπr4(P1−P2).
- Analysis: Q is proportional to the fourth power of the radius (Q∝r4).
- Practical meaning: Doubling the radius of a tube (while keeping pressure and length constant) increases the flow rate by a factor of 24=16. This makes flow extremely sensitive to small changes in vessel width (critical in biology/arteries).
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About This Question
- Subject
- physics
- Chapter
- properties of solids and liquids
- Topic
- poiseuille's flow (conceptual)
- Difficulty
- Hard
- Year
- 2025
Solution
Correct Answer:
r4
- Context: Poiseuille's Law describes the steady, laminar flow of a viscous liquid through a cylindrical tube.
- Formula: Q=8ηLπr4(P1−P2).
- Analysis: Q is proportional to the fourth power of the radius (Q∝r4).
- Practical meaning: Doubling the radius of a tube (while keeping pressure and length constant) increases the flow rate by a factor of 24=16. This makes flow extremely sensitive to small changes in vessel width (critical in biology/arteries).
This hard difficulty physics question is from the chapter properties of solids and liquids, covering the topic of poiseuille's flow (conceptual). It appeared in the 2025 exam.
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