Correct Answer - Option 2 : 1.1
Concept:
Liquidity index is defined as the ratio of the difference between the natural water content of a soil and its plastic limit to its plasticity index.
\({I_L} = \frac{{{w_n} - {w_P}}}{{{w_L} - {w_P}}} = \frac{{{w_n} - {w_P}}}{{{I_P}}}\)
where, wP = water content at plastic limit
wL = water content at liquid limit
wn = natural water content
IP = plasticity index of soil
Calculation:
Given,
wP = 30%
wn = 63%
IP = 30%
Liquidity index (IL) = \(\frac{{{w_n} - {w_P}}}{{{I_P}}} = \frac{{63 - 30}}{{30}} = 1.1\)