Let the matrix representation of the hamiltonian of a three-state system be eo o a h = 0 e 0 la o eo, using the basis states (1), (2), and 3). a) if the state of the system at time t = 0 is v(0)) = 12), what is the probability that the system is in state 2) at time t? b) if, instead, the state of the system at time t = 0 is \v (0)) = 3), what is the probability that the system is in state 3) at time t?

Identify the correct relation showing that the radius r of the orbit of a moon of a given planet can be determined from the radius r of the planet, the acceleration of gravity at the surface of the planet, and the time τ required by the moon to complete one full revolution about the planet. determine the acceleration of gravity at the surface of the planet jupiter knowing that r = 71 492 km and that t= 3.551 days and r= 670.9 × 10^3 km for its moon europa.