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The relationship between γd, G and e is given by ______

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

Answer: c
Explanation: The dry unit weight is given by,
γd = \(\frac{W_d}{V} = \frac{γ_s*V_s}{V}\)
when Vs = 1, we have V = (1+e)
γd = γs*1/(1+e)
But γs = Gγw
γd = \(\frac{Gγ_w}{1+e}\).

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