Given below are the two statements.
Statement I: Hydraulic roughness (n) for flows in natural channels can be easily estimated by adopting Manning's equation, which is given as \(n = (1/v) \cdot R^{2/3 \cdot S^{1/2}\) (\(v = \text{velocity}, R = \text{hydraulic radius}, S = \text{slope}\)).
Statement II: Manning's roughness coefficient (n) does not have any dimension, i.e. it is purely dimensionless.
In light of the above statements, choose the most appropriate answer from the options given below}