Consider a water tank as shown in the figure. It's cross-sectional area is $0.4\, m ^{2}$. The tank has an opening $B$ near the bottom whose cross-section area is $1\, cm ^{2}$. A load of $24\, kg$ is applied on the water at the top when the height of the water level is $40\, cm$ above the bottom, the velocity of water coming out the opening $B$ is $v\, ms ^{-1}$. The value of $v$, to the nearest integer, is ......$m/s$. [Take value of $g$ to be $10 \,ms ^{-2}$ ]

Water flows in a horizontal tube (see figure). The pressure of water changes by $700\; \mathrm{Nm}^{-2}$ between $\mathrm{A}$ and $\mathrm{B}$ where the area of cross section are $40\; \mathrm{cm}^{2}$ and $20\; \mathrm{cm}^{2},$ respectively. Find the rate of flow of water through the tube. ........ $\mathrm{cm}^{3} / \mathrm{s}$

(density of water $=1000\; \mathrm{kgm}^{-3}$ )

Write the limitation and uses of Bernoulli’s equation.

Water containing air bubbles flows without turbulence through a horizontal pipe which has a region of narrow cross-section. In this region, the bubbles

What is Aerofoil ? Explain .

A large cylindrical tank of cross-sectional area $1\ m^2 $ is filled with water. It has a small hole at a height of $1\ m $ from the bottom. $A$ movable piston of mass $5$ $kg$ is fitted on the top of the tank such that it can slide in the tank freely without friction. A load of $45$ $kg$ is applied on the top of water by piston, as shown in figure. The value of $v$ when piston is $7$ $m$ above the bottom is $(g = 10\ m/s^2)$ ....... $m/s$