Consider a spin-1/2 particle with a magnetic moment. at time t = 0, the state of the particle is \\(t = 0)) = 1 +). a) if the observable sy is measured at time t = 0, what are the possible results and the probabilities of those results? b) instead of performing the above measurement, the system is allowed to evolve in a uniform magnetic field b = bog. calculate the state of the system (in the s, basis) after a time t. c) at time t, the observable sy is measured. what is the probability that a value h/2 will be found? d) draw a schematic diagram of the experiment in parts (b) and (c), similar to fig. 3.2.

Steam enters an adiabatic diffuser at 150 kpa and 1208c with a velocity of 550 m/s. determine the minimum velocity that the steam can have at the outlet when the outlet pressure is 300 kpa.

In the future, people will only enjoy one sport: electrodisc. in this sport, you gain points when you cause metallic discs hovering on a field to exchange charge. you are an electrodisc player playing the popular four disc variant. the disks have charges of qa = −8.0 µc, qb = −2.0 µc, qc = +5.0 µc, and qd = +12.0 µc. (1) you bring two disks together and then separate them. you measure the resulting charge of these two disks and find that it is +5.0 µc per disk. which two disks did you bring together? (a) a and b (b) a and c (c)a and d (d)b and c(e) b and d (f) c and d. (2) you bring three disks together and then separate them. you measure the resulting charge of these three disks and find that it is +3.0 µc per disk. which three disks did you bring together? a, b, and c (a) a, b, and d (c) a, c, and d (d) b, c, and d. (3) given the resulting charge of each disk measured in (b) is +3.0 µc, how many electrons would you need to add to a disk of this charge to electrically neutralize it? electrons

You can melt ice by applying pressure because the solid/liquid line has a slope.