Aspin 1/2 particle is in an eigenstate of sy with eigenvalue h/2 at the initial time t = 0. at that time, it is placed in a magnetic induction b = b2, and it is then allowed to precess in that induction for the time t. then, at that instant t, b is instantaneously rotated from the z to the y direction, becoming b = bį. after another identical time interval t occurs, a measurement of s, is carried out. what is the probability that the value +h/2 will be found? assume that the gyromagnetic ration is y.