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  4. Equal mass of three liquids are kept in three identical cylindrical vessels A, B and C . Their densities are ρ A, ρ B, ρ C with ρ A < ρ B < ρ C . The force on the base will be

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Q. Equal mass of three liquids are kept in three identical cylindrical vessels $A, \, B$ and $C$ . Their densities are $\rho _{A}, \, \rho _{B}, \, \rho _{C}$ with $\rho _{A} < \rho _{B} < \rho _{C}$ . The force on the base will be

NTA AbhyasNTA Abhyas 2022

Solution:

Mass of any object is given by, $m=\rho V$ , where $\rho \&V$ represents density and volume respectively.
As for the given system density of all the three is different, but mass of all the three remains same, which signifies,
If $\rho _{A} < \rho _{B} < \rho _{C}$ , then $V_{C} < V_{B} < V_{A}$ .
Also force on the base $=mg$ , and it is independent of density, volume as well as height of liquid column, so pressure for all the three remains same.