Two solid spheres $A$ and $B$ of equal volumes but of different densities $d_A$ and $\mathrm{d}_{\mathrm{B}}$ are connected by a string. They are fully immersed in a fluid of density $\mathrm{d}_{\mathrm{F}}$. They get arranged into an equilibrium state as shown in the figure with a tension in the string. The arrangement is possible only if
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