Pressure on a sample of fluid (at rest)

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The discussion centers on the pressure exerted on fluid samples A and B, emphasizing Pascal's law, which states that pressure is transmitted equally in all directions in a fluid at rest. It is clarified that the pressure at both samples is equal despite differences in the number of molecules above them, as all molecules above A are also above B, contributing to equal pressure. The conversation explores the misconception that pressure is solely due to the weight of the fluid directly above a point, highlighting that pressure is a result of molecular collisions and density, not just vertical columns of fluid. The participants also discuss the isotropic nature of pressure and how it prevents fluid flow between points A and B. Ultimately, the key takeaway is that pressure in a fluid at rest is uniform across equal depths, regardless of the varying heights of fluid columns above different points.
  • #31
Kaushik said:
It must be equal so that it doesn't flow.

Then for that cubical part to not flow the pressure on top surface must be equal to that of the pressure on the side surface. Hence, pressure on both the cubical part is equal. Is it?
Yes, that is it. That is how you arrive at Pascal's principle.
 
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