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The formula for density index ID is ______

(a) (emax – e)

(b) \(\frac{(e_{max} – e)}{(e_{min}-e)}\)

(c) \(\frac{(e_{max} – e_{min})}{(e_{max}-e)}\)

(d) \(\frac{(e_{max} – e)}{(e_{max}-e_{min})}\)

I got this question in exam.

Question is from Density Index and Relative Compaction topic in section Preliminary Definitions and Relationships of Geotechnical Engineering I

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The correct option is (d) \(\frac{(e_{max} – e)}{(e_{max}-e_{min})}\)

Explanation: The density index is defined as the difference between the voids ratio of the soil in its loosest state emax and its natural void ratio e to the difference between the voids ratio in the loosest and densest state.

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

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