Correct Answer - Option 2 : 0.50
Concept:
Toughness Index: Toughness index is defined as the ratio of plasticity index (IP) of the soil to the flow index (IF) of the soil.
The toughness index varies between 0 to 3.
Calculation:
Given,
LL = 40% PL = 30%, Flow Index = 20
Plasticity Index = LL - PL = 40 - 30 = 10%
\(\begin{array}{l} Toughess\;index = \frac{{Plasticity\;index}}{{Flow\;index}}\\ \end{array}\)
Toughness index = 10/20
Toughness index = 0.5