Question

A possible quantum combination of quantum numbers for the single valence shell electron of K in the ground state is:

A) n = 4, l = 0, m_l = 0, m_s = +1/2

B) n = 5, l = 0, m_l = 0, m_s = +1/2

C) n = 5, l = 1, m_l = 0, m_s = -1/2

D) n = 5, l = 4, m_l = 3, m_s = -1/2

E) n = 5, l = 0, m_l = 1, m_s = +1/2

Answer 1

for a given value of n (principal quantum number) , l (azimutal quantum number) has 0 to n-1 values

for a given value of l there exist 2l+1 values of m (magnetic quantum number)

A) if n =4, l = 0, ml has one value = 0, ms = +1/2 possible combination

B) if n = 5, l =0, ml has one value = 0, ms = +1/2 possible combination

C) if n= 5, l=1, ml has -1,0,+1 values, ms = -1/2 possible combination

D) if n=5, l=4, ml has -4,-3,-2,-2,-1,0,1,2,3,4 values , ms = -1/2 possible combination

E) if n=5,l=0,ml has one value =0, ms = +1/2 possible combination