객관식
How many different spatial orientations are possible for f orbitals (l = 3)?
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9. Quantum Mechanics
Quantum Numbers: Angular Momentum Quantum Number
객관식
Which of the following lists all the allowed values of the angular momentum quantum number, l, when the principal quantum number n = 5?
A
0, 1, 2, 3, 4
B
0, 1, 2, 3, 4, 5
C
1, 2, 3, 4, 5
D
1, 2, 3, 4
검증된 단계별 안내1
Recall that the angular momentum quantum number \(l\) depends on the principal quantum number \(n\) and can take integer values starting from 0 up to \(n-1\).
Write the general allowed values of \(l\) as: \(l = 0, 1, 2, \ldots, (n-1)\).
Substitute the given principal quantum number \(n = 5\) into the expression to find the allowed \(l\) values.
Calculate the range of \(l\) values: \(l = 0, 1, 2, 3, 4\).
Conclude that the allowed values of \(l\) for \(n=5\) are exactly \$0, 1, 2, 3, 4$.
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