A 500 m long water distribution pipeline P with diameter 1.0 m, is used to convey 0.1 m³/s of flow. A new pipeline Q, with the same length and flow rate, is to replace P. The friction factors for P and Q are 0.04 and 0.01, respectively. The diameter of the pipeline Q (in meters) is ______________ (rounded off to 2 decimal places).

A flow velocity field $\vec{V} : \vec{V}(x, y)$ for a fluid is represented by

$\vec{V} = 3 \hat{i} + (5x) \hat{j}$

In the context of the fluid and the flow, which one of the following statements is CORRECT?

A standard round bottom triangular canal section as shown in the figure has a bed slope of 1 in 200. Consider the Chezy’s coefficient as 150 m^1/2/s.


The normal depth of flow, y (in meters) for carrying a discharge of 20 m³/s is ___________ (rounded off to 2 decimal places).