The energy spectrum of a quantum system consists of just five eigen-values of the hamiltonian, 1 ("l" "l h where e 3 ev, e2 6 ev, es = 10 ev, es = 20 ev, es = 25 ev. consider n 1,2,3,4,5, the following norma lized state of this system: 1 1 1 1 1pa) clps) + 10 (a) find the unknown coefficient e (b) what is the expectation value of the energy in the state l)? (c) what is the probability that the measurement of the energy will give a value greater than this expectation value? (a)151+(b) 5]+(c)151=[15]

Electric field of the earth. the earth has a net electric charge that causes a field at points near its surface equal to 150 n> c and directed in toward the center of the earth. (a) what magnitude and sign of charge would a 60-kg human have to acquire to overcome his or her weight by the force exerted by the earth’s electric field? (b) what would be the force of repulsion between two people each with the charge calculated in part (a) and separated by a distance of 100 m? is use of the earth’s electric field a feasible means of flight? why or why not?