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Equal masses of three different liquids are poured into three identical cylindrical vessels A, B and C. Their densities satisfy rhoA < rhoB < rhoC. The force exerted on the base of the vessel is:
- maximum in vessel A
- maximum in vessel B
- maximum in vessel C
- equal in all the vessels
Correct answer: equal in all the vessels
Solution
For a cylindrical vessel of base area A, the liquid column height is h = m/(rho*A). Pressure at base = rho*g*h = rho*g*m/(rho*A) = m*g/A. The density cancels, so the force on the base = pressure*A = m*g, equal in all three since masses and base areas are identical.
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