The maximum number of electrons that can be accommodated in the $n$-th shell of an atom is:
- $n^2$
- $n$
- $2n$
- $2n^2$
Show answer and solution
Correct answer: D. $2n^2$
Bohr-Bury rule. Each shell of principal quantum number $n$ contains $n^2$ orbitals, and each orbital holds at most 2 electrons (Pauli). So shell capacity is $2n^2$.
Quick check: K shell ($n=1$) holds 2, L ($n=2$) holds 8, M ($n=3$) holds 18, N ($n=4$) holds 32. All powers-of-two-friendly numbers.