How many electron in a given atom can have the following quantum number

Options

A. `n = 4,l= 2,m= 0`
B. `n= 3`
C. n= 2,l=1,m= -1,s=+(1)/(2)`
D. `n= 4,l= 1`

Explanation

`1= 2` means d sub-shell and `m= 0` refer to `d_(2)` orbit Hence , the number of electron is `2`
b . For `n= 3,l= 0 1,2 `
`1== 0 m=0 ,2` electron
`1=1 m= -1 6` electron
`1= 2 m= -2,-1 ,0,+1,+2 10` electron
Total electron 10 electron
Altermatively the number of electron for any energy level a gives by
`2n^(2)` i.e. `2 xx 3^(2) = 18` electron
`1=1` refers p sub -shell `m = -1` refer to `p_(e)` or`p_(3)` orbit w2heras `s= - 1//2` redicutes only one electron
`1=1` refer to p sub-shell which has there orbital `(p_(e)p_(p)` and `p_(2)` each having twoj electron .Thereforte total number of electron isn `6`