Answer :
Final answer:
The statement regarding the relationship between the length of a capillary tube and the pressure drop is true. According to Poiseuille's law, the pressure drop increases with tube length, and this principle also applies to the circulatory system where longer vessels exhibit higher resistance and impact blood pressure and flow.
Explanation:
The statement 'The longer the capillary tube the greater the pressure drop' is true. In fluid dynamics, the flow of liquid through a tube experiences resistance, which causes a pressure drop. This pressure drop is influenced by several factors including the length of the tube, the viscosity of the liquid, and the tube's cross-sectional area. According to Poiseuille's law, the pressure drop in a fluid flowing through a long cylindrical tube increases with the length of the tube.
Additionally, capillary action can raise or suppress fluids in very narrow tubes. Capillary action is relevant for understanding the pressure drop in capillaries as well. In the human body, blood moves through various vessels, including capillaries, which exhibit a balance between the capillary hydrostatic pressure and the blood colloidal osmotic pressure. When considering blood flow and blood pressure, longer vessels do have higher resistance, which influences how the pressure changes along the vessel's length.
It is important to distinguish between different contexts when discussing fluid dynamics. In the case of blood flow, the relationship between vessel length, resistance, and flow is complex as it includes both hydrostatic and osmotic pressures. Still, for simple fluid flow in capillary tubes, it holds that a longer tube will yield a greater pressure drop.
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