**Problem 1:** Water flows through a 1 cm diameter pipe with a speed of 1 m/s. What should be the diameter of the nozzle if water is to emerge at 2.1 m/s.

**Problem 2:** Water is flowing smoothly through a closed pipe system. At one point the speed of water is 3.0 m/s. While at another point 3.0 m higher, the speed is 4.0 m/s. At the lower point, the pressure is 80 kpa. Find the pressure at the upper point.

**Problem 3:** An aero plane wing is designed so that when the speed of the air across the top of the wing is 450 ms^{-1}, the speed of air below the wing is 410 ms^{-1}. What is the pressure difference between the top and bottom of the wing?

**Problem 4:** Water flows through a pipe whose internal diameter is 2.0 cm at a speed of 1.0 ms^{-1}. What should be the diameter of the nozzle if water is to emerge at a speed of 4.0 ms^{-1}.

**Problem 5:** Eight equal drops of oil are falling through air with a steady velocity of 0.1 ms^{-1}. If the drops recombine to form a single drop, what would be the new terminal velocity?

**Problem 6:** Calculate the speed of efflux of kerosene oil from a narrow hole of a tank in which pressure is 4 atm. Density of kerosene oil is 72 kg m^{-3}. (one atmosphere = 1.03 * 10^{5} pa).

**Problem 7: **A small sphere of volume V falling in a viscous medium, acquire a terminal velocity v_{T}. What will be the terminal velocity of a sphere of the same material and volume 8 V falling through the same medium?

**Problem 8:** Determine the
radius of a water drop falling through air with a terminal velocity of 0.012
m/s. (Viscosity
of air = 0.019 * 10^{-3} N s m^{-2} Density of air = 1.2 kg/m^{3}

Density
of water = 1.0 * 10^{3} kg/m^{3}).