Using postulate 4, show that the probability to obtain a particular measurement of spin is unaffected by changing a state l ψ》 to a state eß1ψ. briefly discuss the significance of your result, what does it say to you? (and, how is it connected to the convention you imposed in q3 and 4 above, setting the coefficient of the |+> basis ket to be positive and real? )

The space between two 15-in.-long concentric cylinders is filled with glycerin (viscosity = 8.5 × 10-3 lb·s/ft2). the inner cylinder has a radius of 1 in. and the gap width between cylinders is 0.1 in. determine (a) the torque and (b) the power required to rotate the inner cylinder at 180 rev/min. the outer cylinder is fixed. assume the velocity distribution in the gap to be linear.