Which of the following represents the CORRECT relationship between the Chezy’s coefficient, C and coefficient of roughness of channel, f?

A

$$C \propto \frac{1}{\sqrt{f}}$$

B

$$C \propto \sqrt{f}$$

C

$$C \propto \frac{1}{f^{\frac{3}{2}}}$$

D

$$C \propto \frac{1}{f}$$