Question

Equal masses of three liquids are kept in three identical cylindrical vessels A, B and C. Their densities are ${\rho }_A,{\rho }_B$ and ${\rho }_C$ 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. same in all the three vessels

Answer 1

The correct option is D same in all the three vessels

Force will be same in all the vessels equal to their weights.
Note: pressure will also be same in all the three vessels at the base. the liquid having lesser density will have more height in the vessel due to larger volume.

This phenomenon is known as Hydrostatic Paradox.