Question

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

• A. maximum in vessel $A$
• B. maximum in vessel $B$
• C. maximum in vessel $C$
• D. equal in all the vessels

Answer 1

Answer: (D)

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.