Structure of Atom - Result Question 44
####48. Consider the following sets of quantum numbers:
\begin{tabular}{lllrr} & $n$ & $l$ & $m$ & $s$ \\ (i) & 3 & 0 & 0 & $+1 / 2$ \\ (ii) & 2 & 2 & 1 & $+1 / 2$ \\ (iii) & 4 & 3 & -2 & $-1 / 2$ \\ (iv) & 1 & 0 & -1 & $-1 / 2$ \\ (v) & 3 & 2 & 3 & $+1 / 2$ \end{tabular}
Which of the following sets of quantum number is not possible?
[2007]
(a) (i), (ii), (iii) and (iv)
(b) (ii), (iv) and (v)
(c) (i) and (iii)
(d) (ii), (iii) and (iv)
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Solution:
- (b) (ii) is not possible for any value of $n$ because $l$ varies from 0 to $(n-1)$ thus for $n=2, l$ can be only 0 and 1 .
(iv) is not possible because for $l=0, m=0$.
(v) is not possible because for $l=2, m$ varies from -2 to +2 .
