The velocity of kerosene oil in a horizontal pipe is $5 \ m/s$. If $g = 10 \ m/s^2$,then the velocity head of the oil will be ....... $m$.

$A$ 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 the water by the piston,as shown in the figure. The value of $v$ when the piston is $7\ m$ above the bottom is $(g = 10\ m/s^2)$ ....... $m/s$

Glycerine of density $1.25 \times 10^3 \ kg/m^3$ is flowing in a conical-shaped horizontal pipe. The cross-sectional area of the pipe at its two ends is $10 \ cm^2$ and $5 \ cm^2$ respectively. The pressure difference between the two ends is $3 \ N/m^2$. The rate of flow of the liquid in the pipe is:

Write the limitations of Bernoulli's theorem.

$A$ fully loaded Boeing aircraft has a mass of $3.3 \times 10^5 \text{ kg}$. Its total wing area is $500 \text{ m}^2$. It is in level flight with a speed of $960 \text{ km/h}$. Estimate the pressure difference between the lower and upper surfaces of the wings.

Water is flowing through a horizontal pipe in streamline flow. At the narrowest part of the pipe,