In deriving Bernoulli's equation, we equated the work done on the fluid in the tube to its change in the potential and kinetic energy . What is the largest average velocity of blood How in an artery of diameter `2xx 10^-3` m if the flow must remain laminar ? Discuss qualitatively.

In deriving Bernoulli's equation, we equated the work done on the fluid in the tube to its change in the potential and kinetic energy. Do the dissipative forces become more important asthe fluid velocity increases ? Discuss qualitatively.

(a) What is the largest average velocity of blood flow in an artery of radius 2 xx 10^-3 m if the flow must remain laminar? (b) What is the corresponding flow rate? (Taking viscosity of blood to be 2.084 xx 10^-3 Pa s)

Two narrow bores of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube ? Surface tension of water at the temperature of the experiment is 7.3xx 10^-2 N m^-1 '. Take the angle of contact to be zero and density of water to be 1.0xx 10^3 kg m^- 3 ( g = 9.8 m s^-2 ) .

The oxygen molecule has a mass of 5.30 xx 10^-26 kg and a moment of inertia of 1.94xx10^-46 kg m^2 about an axis through its centre perpendicular to the lines joining the two atoms. Suppose the mean speed of such a molecule in a gas is 500 m//s and that its kinetic energy of rotation is two thirds of its kinetic energy of translation. Find the average angular velocity of the molecule.