A uniform rod of weight \(1\) \(kg\) is held in equilibrium position as shown in the figure. If the initial volumes of the water in the containers are equal and the density of objects \(A\) and \(B\) are \(3.5\) \(g\) \(cm^{-3}\) and \(4\) \(g\) \(cm^{-3}\) respectively,determine the weight of objects \(A\) and \(B\).

Note : \(A\) and \(B\) are made up of same material.

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