The number of electrons in an atom that may have the quantum numbers n=3 and m=+1/2 is
9
32
- 18
- 16
- 8
The Correct Option is A
Solution and Explanation
We are given the principal quantum number n = 3 and spin quantum number ms = +1/2.
For n = 3, the possible values of the azimuthal quantum number l are:
- l = 0 (s-subshell)
- l = 1 (p-subshell)
- l = 2 (d-subshell)
Each subshell has the following number of orbitals:
- s: 1 orbital
- p: 3 orbitals
- d: 5 orbitals
Total orbitals for n = 3: 1 + 3 + 5 = 9
Each orbital can hold 2 electrons, one with spin +1/2 and one with spin -1/2.
So, the number of electrons with ms = +1/2 will be:
9 orbitals × 1 electron per orbital = 9 electrons
Correct Answer:
Correct Answer: (A) 9
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