For a flowing fluid, a dimensionless combination of velocity (V), length scale (l), and acceleration due to gravity (g) would be

For the Bernoulli's equation to be applicable in a fluid flow situation, which of the following conditions is/are to be satisfied:

Lacey's regime equations, followed in India for making scour calculations while designing hydraulic structures across alluvial channels, are given below. Regarding these equations, which of the following statements is/are true:

$$ \begin{aligned} & D=0.470 \times\left[\frac{Q}{f_s}\right]^{1 / 3} \\ & P=4.75 \times \sqrt{Q} \\ & f_s=1.76 \times \sqrt{d} \end{aligned} $$

where, $Q$ is discharge and $f_s$ is silt factor

A hydraulic jump is formed in a 5 m wide rectangular channel, which has a horizontal bed and is carrying a discharge of $15 \mathrm{~m}^3 / \mathrm{s}$. The depth of water upstream of the jump is 0.5 m . The power dissipated by the jump (in kW ) is ________ (rounded off to the nearest integer).

Note:

Acceleration due to gravity $=9.81 \mathrm{~m} / \mathrm{s}^2$

Density of water $=1000 \mathrm{~kg} / \mathrm{m}^3$

Kinetic energy correction factor $=1.0$