Question
(a) How many subshells are associated with $n =4$ ? (b) How many electrons will be present in the subshells having $m_s$ value of $-\frac{1}{2}$ for $n=4$ ?
✓
Answer
(a) For $n=4, l=0,1,2,3$
\begin{array}{rlc}
& & \text { subshell } \\
l=0 & = & 4 s \\
1 & = & 4 p \\
2 & = & 4 d \\
3 & = & 4 f
\end{array}
Hence for $n=4$ there will be four subshells ( $4 s$, $4 p, 4 d$ and $4 f)$
(b) Number of orbitals for $n=4=4^2=16$ and for one electron present in each orbital $m _{ s }=-\frac{1}{2}$. Therefore the subshells with $n =4, m_{ s }=-\frac{1}{2}$ have 16 electrons.
\begin{array}{rlc}
& & \text { subshell } \\
l=0 & = & 4 s \\
1 & = & 4 p \\
2 & = & 4 d \\
3 & = & 4 f
\end{array}
Hence for $n=4$ there will be four subshells ( $4 s$, $4 p, 4 d$ and $4 f)$
(b) Number of orbitals for $n=4=4^2=16$ and for one electron present in each orbital $m _{ s }=-\frac{1}{2}$. Therefore the subshells with $n =4, m_{ s }=-\frac{1}{2}$ have 16 electrons.
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