Question 1621
CBSE Class 11 Chemistry · Structure of Atom · Quantum numbers and electronic configuration
For n=4, determine (a) the number of subshells(b) the maximum number of electrons having mₛ=−½.
Solution to Question 1621
Complete workingA shell has n subshells and n² orbitals. Each orbital can accommodate one electron with the specified spin.
\[(a) \quad l=0,1,2,3\Rightarrow4\ \text{subshells}\]
\[\begin{aligned}(b) \quad n^2 &= 4^2\\&= 16\ \text{orbitals}\Rightarrow16\ \text{electrons with }m_s\\&= -\tfrac12\end{aligned}\]
Final answers by part
\[(a) \ 4\ \text{subshells};\quad(b) \ 16\ \text{electrons}\]