Answer: b) 1
The value of the void ratio is equivalent to the minimum value of the void ratio when the cohesion-less soil is present in its loosest form.
i.e., e = e (min.)…(i)
The density index is,
ID = (e (max.) – e)/(e(max.)-e(min.))…(ii)
From equation (i) & (ii), we will get,
ID = (e (max.) – e(min.))/(e(max.)-e(min.))
ID = 1
Hence one is the value of the density index of natural deposit in its densest state.