Multiple Choice
Which of the following principles states that no two electrons in an atom can have the same set of four quantum numbers?
86
views
9. Quantum Mechanics
Quantum Numbers: Principal Quantum Number
Multiple Choice
How many subshells are present in the principal quantum shell with n = 4?
A
2
B
1
C
3
D
4
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 the number of subshells within a principal shell is equal to the value of \(n\) because the azimuthal quantum number \(l\) can take integer values from \$0\( up to \)n-1$.
For \(n = 4\), the possible values of \(l\) are \$0, 1, 2,\( and \)3$, which correspond to the subshells labeled as s, p, d, and f respectively.
Count the number of possible \(l\) values to find the number of subshells: since \(l\) can be \$0, 1, 2,\( or \)3\(, there are 4 subshells in the \)n=4$ shell.
Therefore, the principal quantum shell with \(n=4\) contains 4 subshells.
Related Videos
Related Practice
