Multiple Choice
For an orbital with angular momentum quantum number l = 2, which of the following lists correctly represents all possible values of the magnetic quantum number ml?
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9. Quantum Mechanics
Quantum Numbers: Magnetic Quantum Number
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
How many degenerate orbitals are present in each p subshell?
A
1
B
6
C
2
D
3
Verified step by step guidance1
Recall that a subshell is defined by the azimuthal quantum number \( l \), where \( l = 0 \) corresponds to an s subshell, \( l = 1 \) to a p subshell, \( l = 2 \) to a d subshell, and so on.
Understand that the number of orbitals in a subshell is given by the formula \( 2l + 1 \), which represents the number of possible magnetic quantum numbers \( m_l \) for that subshell.
For a p subshell, since \( l = 1 \), calculate the number of orbitals as \( 2(1) + 1 = 3 \).
Recognize that these three orbitals are degenerate, meaning they have the same energy level in an atom without an external magnetic or electric field.
Therefore, the p subshell contains 3 degenerate orbitals.
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