Question

Density index or relative density is defined as

• A. \( (e_{max} - e) / (e_{min} - e) \)
• B. \( (e_{max} - e) / (e_{max} - e_{min}) \)
• C. \( (e_{max} - e_{min}) / (e_{max} - e) \)
• D. \( (e_{min} - e) / (e_{max} - e_{min}) \)
  Where, \(e_{max}\) = void ratio in the loosest state
  \(e_{min}\) = voids ratio in the densest state
  e = natural void ratio of the deposit

Hint:

To remember the formula, think logically: Relative Density is about how "dense" the soil is relative to its maximum possible density. The numerator, \(e_{max} - e\), represents the 'amount of compaction achieved'. The denominator, \(e_{max} - e_{min}\), represents the 'total possible compaction'. So, it's (Achieved Compaction) (Total Possible Compaction).

Answer 1

The Correct Option is B