The consistency index ($I_c$) is defined as:\[I_c = \frac{w_l - w}{w_l - w_p}\]where:$w_l$: Liquid limit.$w$: Natural water content.$w_p$: Plastic limit.When $w = w_p$, substitute into the formula:\[I_c = \frac{w_l - w_p}{w_l - w_p} = 1\]