NEET-XII-Physics
13: Fluid Mechanics
- #4Equal 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 vesselsdigAnsr: dAns : (d) equal in all the vessels
The force on the base is given by
`` F=h\rho g\times A``
`` \Rightarrow F=\left(hA\rho \right)g``
`` \Rightarrow \,\mathrm{\,F\,}=(\,\mathrm{\,Volume\,}\times \,\mathrm{\,Density\,})\times \,\mathrm{\,g\,}``
`` \Rightarrow F=\,\mathrm{\,mg\,}``
In the question, the masses are equal. So, the force on the base is the same in all cases.
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