Question

Equal mass of three liquids are kept in three identical cylindrical vessels A, B and C. The densities are rhoA, rhoB, rhoC with rhoA < rhoB < rhoC. 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

(d) equal in all the vessels

Explanation:

• Let us take equation for the force of gravity F = mg.  
• Where m = mass of the object
• g = acceleration due to gravity which is a constant for all masses of matter.
• In this problem mass of all the three liquids in three identical cylindrical vessels A, B and C are equal.
• (Also force is independent of densities (rhoA, rhoB, rhoC) as per the above equation)
• Since the force on the base will be equal in all the three cylindrical vessels.