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What is the total number of orbitals associated with the principal quantum number n=3?

  • A.3
  • B.6
  • C.9
  • D.10
  • E.14

Answer: C

There are 9 orbitals for n = 3.

The number of orbitals in a shell is \(n^{2}\). For n = 3 the subshells are 3s (1 orbital), 3p (3) and 3d (5), giving \(1 + 3 + 5 = 9\).

3 counts only the subshells, 6 or 10 miscount them, and 18 (not offered) would be the number of electrons the shell can hold, \(2n^{2}\).

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