Q. 44.5( 2 Votes )

Equal mass of three liquids are kept in three identical cylindrical vessels A, B and C. The densities are ρA, ρB, ρC with ρA < ρB < ρC. 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 :

Let the mass of the liquids be “m”, and the base area be “a”.

Volume, , where 𝜌 is the density of the liquid. And where h is the height of the liquid. Therefore,


; ;


Now the pressure is given by



Similarly, and .


Hence, the pressure is same in all the three cases.

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