Multiple Choice
Which statement correctly describes the principal quantum number n for an electron in the state n=4, l=3, m=2, s=1/2?
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9. Quantum Mechanics
Quantum Numbers: Principal Quantum Number
Multiple Choice
How many sublevels are present in the principal energy level where n = 3?
A
1
B
3
C
4
D
2
Verified step by step guidance1
Recall that the principal quantum number \( n \) defines the main energy level or shell of an electron in an atom.
Understand that for each principal energy level \( n \), the number of sublevels (or subshells) is equal to \( n \).
Each sublevel corresponds to a different value of the azimuthal quantum number \( l \), which ranges from 0 to \( n-1 \).
For \( n = 3 \), the possible values of \( l \) are 0, 1, and 2, which correspond to the \( s \), \( p \), and \( d \) sublevels respectively.
Therefore, the number of sublevels in the principal energy level \( n = 3 \) is 3.
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