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

1
\({\rm{C}} \propto \frac{1}{{\sqrt {\rm{f}} }}\)
2
\({\rm{C}} \propto \sqrt {\rm{f}}\)
3
\({\rm{C}} \propto \frac{1}{{{{\rm{f}}^{3/2}}}}\)
4
\({\rm{C}} \propto \frac{1}{{\rm{f}}}\)

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