The drag force, $F_D$ on a sphere due to a fluid flowing past the sphere is a function of viscosity, $\mu$, the mass density, $\rho$, the velocity of flow, $V$ and the diameter of the sphere, $D$.

Pick the relevant (one or more) non-dimensional parameter(s) pertaining to the above process from the following list.

The shaft of a 6 m wide gate in the figure will fail at a moment of $3924 \mathrm{kN} . \mathrm{m}$ about the hinge $P$. The maximum value of water depth $h$ (in $m$ ) that the gate can hold is

___________ (round off to the nearest integer).

Note:

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

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

The point where the road alignment changes from a tangent to a curve is known as___________

$\qquad$

A surveyor measured the distance between two points on the plan drawn to a scale of $1 \mathrm{~cm}=40 \mathrm{~m}$ and the result was 468 m . Later, it was discovered that the scale used was $1 \mathrm{~cm}=20 \mathrm{~m}$.

The true distance between the points (in m ) is __________ (round off to the nearest integer).