Question

Explain, giving reasons, which of the given sets of quantum numbers are not possible.(a) n = 0, l = 0, ml = 0, ms = + ½(b) n = 0, l = 0, ml = 0, ms = - ½(c) n = 1, l = 1, ml = 0, ms = + ½(d) n = 1, l = 1, ml = 0, ms = - ½(e) n = 3, l = 3, ml = -3, ms = + ½(f) n = 3, l = 1, ml = 0, ms = + ½​

Answer 1

Given :  The sets of quantum numbers are given .

To find:  We have to find which sets of quantum are possible  for the given quantum numbers.

Explanation:   We have been given the set of quantum numbers . We take the first case

$n=0$,$l=0$  and $ml=0$

This set of quantum number is not possible since principal quantum number n and azimuthal quantum number l is same. So it is not possible

Then we have n=0 ,l=0,m=-1/2

This set of quantum number is not possible since the n and l values are same.

Now we have the other set $n=1,l=1,ml=0,ms=-\frac{1}{2}$

This set is also not possible since the n and l values are same.

Now we have the set $n=1,l=1,ml=0,ms=-\frac{1}{2}$

This is also not possible since the n and l values are the same.

Now we have the set $n=3,l=3,ml=-3,ms=+\frac{1}{2}$

This set is also not possible since the n and l values are same.

Now we have the set $n=3,l=1 ,ml=0,ms=+\frac{1}{2}$

This set is possible since n and l values are not same .

So the set of quantum numbers not possible are  a,b,c,d,e