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).

A 5 m × 5 m closed tank of 10 m height contains water and oil, and is connected to an overhead water reservoir as shown in the figure. Use $\gamma_w$ = 10 kN/m³ and Specific gravity of oil = 0.8.

The total force (in kN) due to pressure on the side PQR of the tank is _______________ (rounded off to the nearest integer).

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the ratio of the Earth-Sun and Earth-Moon distances is closest to