The maximum number of electrons can have pricipal quantum number `n = 3` and spin quantum number `Mz =-(1)/(2)` is (2011)

Answer

9

Explanation

`n = 3, l = 0,1,2`
for `{:(l =0,m =0,mz=-(1)/(2)+(1)/(2)),(l=1,m=-1,mz=-(1)/(2)+(1)/(2)),(l=1,m=0,mz=-(1)/(2)+(1)/(2)),(l=1,m=0,mz=-(1)/(2)+(1)/(2)):}`
`{:("for",l =2,m=-2,mz=+(1)/(2)-(1)/(2)),("for",l=2,m=-1,mz=+(1)/(2)-(1)/(2)),("for",l=2,m=0,mz=+(1)/(2)-(1)/(2)),("for",l=2,m=+1,mz=+(1)/(2)-(1)/(2)),("for",l=2,m=+2,mz=+(1)/(2)-(1)/(2)OR):}`
`n = 3`
number of electros `=2n^(3) = 2xx 3^(2) = 18` electrons with `(ms =- (1)/(2)) = (18)/(2) = 9`