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The relationship between γ’, G and e is ______

The relationship between γ’, G and e is ______
a) \(γ’=\frac{(G+1) γ_w}{(1+e)}\)
b) \(γ’=\frac{(G-1) γ_w}{(1+e)}\)
c) \(γ’=\frac{(G-1) γ_w}{(1-e)}\)
d) \(γ’=\frac{G γ_w}{(1+e)}\)

Answer: b
Explanation: The submerged unit weight is given by,
γ’ = γsat – γw
γ’ = \(\frac{(G+e) γ_w}{(1+e)} – γ_w\)
\(γ’=\frac{(G-1) γ_w}{(1+e)}\).

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