The relationship between γ_d, γ and w is given by _______
a) γ_d = γ(1+w)
b) γ_d = γ *(1+w)
c) γ_d = \(\frac{γ}{(1+w)}\)
d) γ_d = γ+1+w

Answer: c
Explanation: The water content is given by,
\(w=\frac{W_w}{W_d}\)
hence \(1+w=\frac{(W_w + W_d)}{W_d} = \frac{W}{W_d}\)
\(W_d=\frac{W}{(1+w)}\)
\(γ_d=\frac{W_d}{V} = \frac{W}{(1+w)V}\)
γ_d = \(\frac{γ}{(1+w)}\).