Question

Label the following quantum number sets as correct or incorrect.

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

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

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

Answer 1

for some n
value of l can be from 0 to (n-1)

and for each l
value of ml can be from -l to l

ms = -1/2 or +1/2

i) n = 2, l = 1, ml = 0, ms = -1/2
it satisfy all the above given condition
so, this set of quantum number is correct

ii) n = 5, l = 0, ml = -2, ms = +1/2
for l = 0
ml can have only one value that is o
so, ml = -2 is incorrect
so, this set quantum number is incorect

iii) n = 4, l = 2, ml = +2, ms = -1/2
it satisfy all the above given condition
so, this set of quantum number is correct