22. Explain why each of the following sets of quantum num- bers (n, l, m,, m,) is not permitted for hydrogen. (a) (2, 2, -1, +1/2) (b) (3, 1, +2, -1/2) (c) (4, 1, +1,-3/2) (d) (2, −1, +1, +1/2) 3

121. (a) Estimate the ground state energy of an electron in an atom by treating it as if it were in an infinite square well (1D) of width equal to an atomic diameter of 10-10 m. (b) Estimate the ground state energy of an a particle in a nucleus by treating it as if it were in an infinite square well (1D) of width equal to a nuclear diameter of 10-14 Estimate the ground state energy of an electron in a nucleus by treating it as if it were in an infinite square well (1D) of width equal to a nuclear diameter of 10¬14 m. m. (c)