Obtain an expression for pressure at a point inside a liquid.

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Solution

Consider an imaginary cylinder inside the liquid, made up of same liquid. Since the cylinder is in equilibrium.
According to Archimedes principle.
$T {| r |}^{2} | (| h_{2} | - | h_{1} |) |$
$F_{b o u y e n t} = m g = P V . g = P . A . h . g .$
$\frac{F}{A} = h P g \Rightarrow$ Pressure $P = h ρ g$

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