Multiple Choice
Which of the following sets correctly lists all possible orbitals for the principal quantum number n = 3?
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9. Quantum Mechanics
Quantum Numbers: Principal Quantum Number
Multiple Choice
How many orbitals are present in the third principal energy level (n = 3) of an atom?
A
18
B
6
C
9
D
3
Verified step by step guidance1
Recall that the number of orbitals in a principal energy level (shell) is given by the formula \(n^2\), where \(n\) is the principal quantum number.
Identify the principal quantum number for the problem, which is \(n = 3\).
Calculate the total number of orbitals by squaring \(n\): \$3^2$.
Understand that each orbital can hold up to 2 electrons, but the question only asks for the number of orbitals, not electrons.
Conclude that the third principal energy level contains \$9$ orbitals.
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