Discussion
The submerged density of soil in terms of unit weight of water rw, specific gravity G and voids ratio e is given by the expression :
Answer: A
The submerged density is \(\frac{r_{w}(G - 1)}{1 + e}\).
The submerged (buoyant) unit weight is the saturated unit weight minus the unit weight of water:
\[ \begin{aligned} \gamma' &= \frac{(G + e)\gamma_w}{1 + e} - \gamma_w \\ &= \frac{(G - 1)\gamma_w}{1 + e} \end{aligned} \]
The \(G - 1\) is the buoyancy effect: each unit volume of solids loses the weight of an equal volume of water. \(G + 1\) adds the water instead of taking it away, and \(1 - e\) in the denominator has no physical meaning, since total volume per unit volume of solids is \(1 + e\).
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