Basic principles of quantum mechanics

1.The simultaneous eigenfunctions of angular momentum operators L2 and Lz are 

(1) all of 2s ,2px ,2pyand 2pzorbitals

(2) only 2s ,2px , 2pyorbitals

(3) only 2s and 2pzorbitals

(4) only 2pzorbital

 

2.The eigenfunctions of the Hamiltonian H (H = T+V) of a harmonic oscillator are (where T and V are kinetic energy and potential energy operators, respectively) 

(1) eigenfunctions of T as well as V

(2) eigenfunctions of T but not of V

(3) eigenfunctions of V but not of T

(4) eigenfunctions of neither T nor V

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