Among the following set of quantum numbers, the impossible set is
n l m s 3 2 -3 -1/2 n l m s 4 0 0 1/2 n l m s 5 3 0 -1/2 n l m s 3 2 -2 1/2
A.
| n | l | m | s |
| 3 | 2 | -3 | -1/2 |
Principal quantum number = n
Azimuthal quantum number = l = 0 to (n-1)
Magnetic quantum number = m = -l to +1
Spin quantum number = s = +1/2 or -1/2
Now,
(i) In first option the given values are,
n=3; l=2; m=-3; s=-1/2
So according to Azimuthal quantum number
l = 0 to (n-1) = 0 to 2 = here it is 2 which is permissible
m = -l to +l = -2 to +2 = here it is 3 which is not permissible
s = +1/2 or -1/2 = here it is -1/2 whch is permissible
(ii) In the second option given values are,
n = 4; l = 0, m = 0; s= 1/2
So according to Azimuthal quantum number
l = 0 to (n-1) = 0 to 3 = here it is 0 which is permissible
m =-l to +l = -3 to +3 = here it is 0 which is permissible
s = +1/2 or -1/2 = here it is 1/2 whch is permissible
(iii) In the third option given values are,
n =5; l = 3; m= 0; s= -1/2
So according to Azimuthal quantum number
l = 0 to (n-1) = 0 to 4 = here it is 3 which is permissible
m = -l to +l = -4 to +4 = here it is 0 which is permissible
s = +1/2 or -1/2 = here it is -1/2 whch is permissible
(iv) it the forth option given values are,
n=3; l =2; m=-2; s = 1/2
So according to Azimuthal quantum number
l = 0 to (n-1) = 0 to 2 = here it is 2 which is permissible
m = -l to +l = -2 to +2 = here it is 2 which is permissible
s = +1/2 or -1/2 = here it is -1/2 whch is permissible
