Which sets of quantum numbers are unacceptable?
a) n=3, l = -2,ml =0,ms =+1/2
b) n=2, l = 2,ml =-1,ms =+1/2
c) n=6, l = 2,ml =-2,ms =+1/2
d) n=3, l = 1,ml =-2,ms =-1/2
e) n=3, l = 3,ml =0,ms =+1/2
The quantum numbers are subject to certain constraints.
The acceptable values for the quantum numbers are as follows:
a) n=3, l = -2, ml =0, ms =+1/2
b) n=2, l = 2, ml =-1, ms =+1/2
c) n=6, l = 2, ml =-2, ms =+1/2
d) n=3, l = 1, ml =-2, ms =-1/2
The set of quantum numbers that is unacceptable is:
e) n=3, l = 3, ml =0, ms =+1/2
This is because the value of l cannot be greater than or equal to n. In this case, l=3 gives a value that is greater than n=3, which is not allowed.