Question

The density index of natural deposit in its densest state is ______

(a) 0

(b) 0.5

(c) 1

(d) 1.5

I had been asked this question in a national level competition.

This intriguing question originated from Density Index and Relative Compaction in division Preliminary Definitions and Relationships of Geotechnical Engineering I

Answer 1

Right answer is (c) 1

To explain: Cohesion-less soil is in its loosest form will have its void ratio e=emin.

Since  ID=\(\frac{(e_{max} – e)}{(e_{max}-e_{min})}\)

ID=\(\frac{(e_{max} – e_{min})}{(e_{max}-e_{min})}\)

ID=1.