Different heads are in Column - $\mathrm{I}$ and its formulas are given in Column - $\mathrm{II}$. Match them appropriately.

Column - $\mathrm{I}$	Column - $\mathrm{II}$
$(a)$ Velocity head	$(i)$ $\frac{P}{{\rho g}}$
$(b)$ Pressure head	$(ii)$ $h$
	$(iii)$ $\frac{{{v^2}}}{{2g}}$

A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is $5\,cm$ and its rotational speed is $2$ rotations per second, then the difference in the heights between the centre and the sides, in $cm,$ will be

The pressure of water in a water pipe when tap is opened and closed is respectively $3 \times 10^5\,N/m^2$ and $3.5 \times 10^5\,N/m^2$ . With open tap, the velocity of water flowing is ........... $m/s$

The Working of an atomizer depends upon

In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are $70 \mathrm{~ms}^{-1}$ and $65 \mathrm{~ms}^{-1}$ respectively. If the wing area is $2 \mathrm{~m}^2$ the lift of the wing is__________ $\mathrm{N}$.

(Given density of air $=1.2 \mathrm{~kg} \mathrm{~m}^{-3}$ )

The diagram shows a cup of tea seen from above. The tea has been stirred and is now rotating without turbulence. A graph showing the speed $ v$ with which the liquid is crossing points at a distance $ X$  from $O $ along a radius $XO$  would look like