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How many orbitals are present in the $n = 3$ shell?

A$9$
B$18$
C$3$
D$6$
Answer & Solution
Correct answer: A. $9$
Number of orbitals in shell $n$ = $n^2$. For $n=3$: $3^2 = 9$ orbitals (1 s + 3 p + 5 d). Each holds 2 electrons, so the shell holds $2n^2 = 18$ electrons max.
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