3. ( / 18 pts) The gure below shows a vector model for the angular momentum states of an electron in a hydrogen atom. (a) (2 pts (b) (7 pts What is the orbital angular momentum quantum number of this system? On the diagram, label each vector with its magnetic quantum number. '-._/\\._/\\-._/ What is the magnitude of the orbital angular momentum vector? (d) (4 pts) What are the eigenvalues of the L2 operator? Clearly draw and label them on the (e) (2 pts) What are the possible values of the principle quantum number? The magnitude of orbital angular momentum ( I ) vector is given by formula 1 7 / = L = Vell+ 1 ) to 1= orbital angular momentum Quantum mo h= reduced planck constant We know I = 2 80, 1 = $2*(2+1)