Which of the following are permissable sets of quantum numbe

Which of the following are permissable sets of quantum numbers for an electron in a hydrogen atom? The atom may be in an excited state (ie. the electron need not be in its ground state). Choose all of the correct possibilities.


n = 3, l = 1, ml = +1, ms = +1/2 n = 4, l = 2, ml = +2, ms = -1/2 n = 6, l = -3, ml = +3, ms = +1/2 n = 4, l = 3, ml = -2, ms = +1/2 n = 2, l = 0, ml = 0, ms = -1/2 n = 2, l = 2, ml = +1, ms = -1/2 n = 4, l = 1, ml = 0, ms = +1/2 n = 5, l = 4, ml = -3, ms = 0 n = 4, l = 2, ml = +3, ms = +1/2 n = 5, l = 1, ml = 0, ms = -1/2

Solution

Answer:-

The permissable sets of quatum numbers for an electron in a hydroge atom is given as follows,

n = 3, l = 1, ml = +1, ms = +1/2

n = 4, l = 2, ml = +2, ms = -1/2

n = 4 , l = 3 , ml = - 2 , ms = +1/2

n = 2, l = 0, ml = 0, ms = -1/2

n = 4, l = 1, ml = 0, ms = +1/2

n = 5, l = 1, ml = 0, ms = -1/2