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    6.

    Two cylindrical vessels with their bases at the same level, contain a liquid of density ρ\rho . The height of the liquid in the vessel is h1{h_1} and in the other is h2{h_2}. The area of either base is A. The work done by the gravity in equalizing the levels when the vessels are connected.

    A

    Aρg(h1h2)22\frac{{A\rho g{{\left( {{h_1} - {h_2}} \right)}^2}}}{2}

    B

    Aρg2[h12h22]\frac{{A\rho g}}{2}\left[ {h_1^2 - h_2^2} \right]

    C

    Aρg4[h12h22]\frac{{A\rho g}}{4}\left[ {h_1^2 - h_2^2} \right]

    D

    Aρg4[h1h2]2\frac{{A\rho g}}{4}{\left[ {{h_1} - {h_2}} \right]^2}

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