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From the following sets of quantum numb...

From the following sets of quantum numbers , state which are possible ?
(i) `n=0,l=0,m_(l)=1,m_(s)= +1//2`
(ii) `n=2,l=1,m_(l)=0,m_(s) = -1//2`
(iii) `n=2, l=0,m_(1)=3,m_(s) = +1//2`
(iv) `n=3,l=1,m_(l)=0,m_(s) = +1//2`

Text Solution

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(i) `n=0,l=0,m_(l)=1,m_(s) = +1//2`
These set of quantum number are not possilbe as 'n' cannot have value ='0'
(ii) `n=2, l=1, m_(l) = 0, m_(s) = -1 //2`
`n=2 `
`l=0` to `( n-1)`
`l=0,1`
For `l=1 , m_(l) = -1 , 0 , + 1`
So , these quantum numbers are possible.
(ii) `n=2, l=0,m_(l) =3,m_(s) = + 1/2`
Not possible, as `_(l) = 3` value here is not permissible
`m_(l)` has values` =-l, 0, "......", +l`
Possible values of `m_(l) = -2,-1 , 0 , +1, +2`
(iv) `n=3 , l=1, m_(l)= 0, m_(s) = - 1//2`
Possible.
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