State which of the following sets of quantum number would be possible and which would not be permisible for an electron in an atom.
(i) `n=3,I=3,m_(l)=+3, m_(s)=+(1)/(2)`
(ii) `n=3,I=3,m_(l)=+1, m_(s)=-(1)/(2)`
(iii) `n=5,I=4,m_(l)=+3, m_(s)=(1)`
(iv) `n=0,I=0,m_(l)=0, m_(s)=+(1)/(2)`
(v) `n=4,I=3,m_(l)=-2, m_(s)=-(1)/(2)`

Answer

(i) Not possible because when `n=3, I`cannot be equal to `3`. The value of `I` cannot be numerically equal to the value of `n`.
(ii) Not possible because when `I=0,m_(I)` cannot be `+1` The value of `m_(1)` cannot be numerically mor than the value of `I`.
(iii) Not possible because s cannot be 1 The only allowed values of `m_(s)` are `+(1)/(2)` and `-(1)/(2)`
(iv) Not possible because n cannot be 0.
(v) This set is permitted because when `n=4,I` can be 3. When `I=3, M_(1)` can be `-2. M_(s)` can have `-(1)/(2)` value