which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are possible for an electron in an atom? check all that app

Question

3 years ago

5

ly.

1 answer:

erica [24] · Answer 1 · 2022-07-29T19:21:29+03:00

The only options that apply for the set of quantum numbers in order are;

Option B; 5, 2, 1, -1/2

Option G; 4, 2, -1, -1/2

Option H; 3, 2, 0, -1/2

The missing options are;

A) 3, 2, -3, 1/2

B) 5, 2, 1, -1/2

C) 3, 3, 1, -1/2

D) 3, 2, 1, -1

E) -3, 2, 2, -1/2

F) 2, 1, 3, 1/2

G) 4, 2, -1, -1/2

H) 3, 2, 0, -1/2

The order we want to use is (n, ℓ, mℓ, ms)

Let's look at each of them;

1) n in this case can be any number from 1 to ∞. This means only positive integers excluding 0 are possible values of n.

2) ℓ is gotten from; ℓ = n - 1. This means that all values of ℓ must be less than n by 1.

3) mℓ; if l = x, then mℓ is the range of -x to +x

4) ms can only be +1/2 or -1/2

Looking at the given options, the only ones that correspond to the definitions above of n, ℓ, mℓ, ms are Options B, G & H.