Water is in streamline flow along a horizontal pipe with non-uniform cross-section. At a point in the pipe where the area of cross-section is $10 \,cm^{2}$, the velocity of water is $1 \,ms^{-1}$ and the pressure is $2000 \,Pa$. The pressure at another point where the cross-sectional area is $5 \,cm^{2}$ is (in $\,Pa$)

Water from a tap emerges vertically downwards with an initial velocity of $4 \,m/s$. The cross-sectional area of the tap is $A$. The flow is steady and the pressure is constant throughout the stream of water. The distance $h$ vertically below the tap,where the cross-sectional area of the stream becomes $\frac{2}{3} A$,is (take $g = 10 \,m/s^2$): (in $\,m$)

In the following figure,the flow of liquid through a horizontal pipe is shown. Three tubes $A, B$ and $C$ are connected to the pipe. The radii of the tubes $A, B$ and $C$ at the junction are respectively $2 \ cm, 1 \ cm$ and $2 \ cm$. It can be said that the:

Water is flowing with a velocity of $2 \ m/s$ in a horizontal pipe where the cross-sectional area is $2 \times 10^{-2} \ m^2$ at a pressure of $4 \times 10^4 \ Pa$. The pressure at a cross-section of area $0.01 \ m^2$ in Pascal will be:

Assertion $(A)$: The upper surface of the wing of an aeroplane is made convex and the lower surface is made concave.
Reason $(R)$: The air currents at the top have smaller velocity and thus less pressure at the bottom than at the top.

$A$ venturimeter has a pipe diameter of $4 \,cm$ and a throat diameter of $2 \,cm$. The velocity of water in the pipe section is $10 \,m/s$. The pressure drop between the pipe section and the throat section is (use density of water $= 1000 \,kg/m^3$):