Quantum GRE problems (A) Conservation of angular momentum (B) Hund’s Rule (C) Th
ID: 3279776 • Letter: Q
Question
Quantum GRE problems
(A) Conservation of angular momentum
(B) Hund’s Rule
(C) The Pauli exclusion principle
(D) The uncertainty principle
(E) None of the above.
2.) Which of the following is the most likely decay chain of the 3s state of hydrogen? Ignore all relativistic and fine-structure effects.
(A) 3s ? 1s
(B) 3s ? 2s ? 1s
(C) 3s ? 2p ? 1s
(D) 3s ? 2p ? 2s ? 1s
(E) The 3s state is stable
3.) In the ground state of helium, which of the following gives the total-spin quantum numbers of the two electrons?
(A) s = 0, m_s = 0
(B) s = 1, m_s = 1
(C) s = 1, m_s = 0
(D) s = 1, m_s = ?1
(E) s = 1/2, m_s = 1/2
(A) electron-electron Coulomb repulsion
(B) non-zero orbital angular momentum in the ground state
(C) spin-spin coupling between the orbital electrons
(D) spin-spin coupling between the nucleons
(E) none of these
5.) If the proton were a spin-0 particle, which of the following features of the hydrogen spectrum would be absent?
(A) Lyman series
(B) Balmer series
(C) 21 cm hyperfine transition
(D) Lamb shift
(E) Fine-structure splitting of the sp state
Explanation / Answer
(1) C
According to Pauli's excusion principle, no two electrons have the same four quantum numbers.