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Question

(A) The pressure at any point in a static liquid depends only on the depth of the point below the free surface of the liquid,given by the formula $p =

Vedclass · Accepted Answer

$p_x = p_y$

Vedclass · Answer

(A) The pressure at any point in a static liquid depends only on the depth of the point below the free surface of the liquid,given by the formula $p = p_0 + \rho gh$,where $p_0$ is the atmospheric pressure,$\rho$ is the density of the liquid,$g$ is the acceleration due to gravity,and $h$ is the depth of the point.In the given figure,both points $x$ and $y$ are at the same depth $h$ below the free surface of the liquid.Since the liquid is the same (same $\rho$) and the depth $h$ is the same,the hydrostatic pressure at both points must be equal.Therefore,$p_x = p_y$.

The figure shows two containers $P$ and $Q$ with the same base area $A$,each filled to the same height with the same liquid. Select the correct alternative.

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