NEET-XII-Physics

13: Fluid Mechanics

with Solutions - page 2
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  • #4
    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
    digAnsr:   d
    Ans : (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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