Three identical vessels are filled to the same height with three different liquids A, B and C (ρa>ρb>ρc ). The pressure at the base will be

The correct option is Equal in all vessels.

Let us analyze the pressure at the base of a vessel containing a liquid column.
The hydrostatic pressure at the base of a vessel filled with a liquid to a height $h$ is given by the formula:
$P=P_0+\rho gh$
where:
• $P_0$ is the atmospheric pressure acting on the surface of the liquid,
• $\rho$ is the density of the liquid,
• $g$ is the acceleration due to gravity, and
• $h$ is the height of the liquid column.

According to the given correct option, the pressure at the base is equal in all vessels. This indicates that for the three identical vessels filled to the same height $h$, the base pressure is considered to be independent of the liquid densities and depends only on the height of the liquid column and the vessel geometry.

Therefore, the pressure at the base will be equal in all vessels.