Question

Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,ℓ,mℓ,ms). Check all that apply.

Check all that apply.

3,2,1,1/2

3,3,1,1/2

2,2,1,-1/2

3,2,1,1

2,1,0,1/2

3,0,0,1/2

1,0,0,1/2

4,3,-5,-1/2

4,2,1,1/2

2,-2,-2,-1/2

3,3,-1,1/2

0,2,1,-1/2

Answer 1

option 1:
This is valid

option 2:
l must be less than n
Here value of n is 3
But value of l is 3
so, l can't be 3
Hence, this is not valid

option 3:
l must be less than n
Here value of n is 2
But value of l is 2
so, l can't be 2
Hence, this is not valid

option 4:
ms can be -1/2 or 1/2.
It can’t be 1
Hence, this is not valid

option 5:
This is valid

option 6:
This is valid

option 7:
This is valid

option 8:
Value of l is 3
So, valid values of ml are [-3, -2, -1, 0, 1, 2, 3]
so, ml can't be -5
Hence, this is not valid

option 9:
This is valid

option 10:
l can't be negative
l can't be -2
Hence, this is not valid

option 11:
l must be less than n
Here value of n is 3
But value of l is 3
so, l can't be 3
Hence, this is not valid

option 12:
n must be a positive number
n can't be 0
Hence, this is not valid
Answer: Hence, this is not valid

Answer: option 1,5,6,7,9 from top