Discussion
The Chezy's formula, used to estimate the average velocity of uniform flow in open channels is represented as-
Given: V= mean velocity of flow in the channel
C= Chezy's coefficient
R= Hydraulic radius of the channel
S= Slope of the channel bottom
Answer: A
Chezy's formula is \(V = C \times \sqrt{R \times S}\).
For uniform flow in an open channel, Chezy's equation gives the mean velocity as the Chezy coefficient times the square root of the hydraulic radius times the bed slope:
\[ V = C\sqrt{RS} \]
The hydraulic radius R is the flow area divided by the wetted perimeter, and S is the slope of the channel bed. The square root covers the product RS, not a sum, so \(C\sqrt{R+S}\) is wrong, and the forms without a square root (\(CR + S\), \(C + RS\)) are not dimensionally sensible.
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