What is the maximum number of orbitals than identified with the following quantum number n 3 i 1m 0?

What is the maximum number of orbitals that can be identified with the following quantum numbers? n = 3, ℓ = 1, mℓ = 0. (Option A – 1) (Option B – 2) (Option C – 3) (Option D – 4)

Correct Answer: (Option A – 1)

Explanation:

n = 3, ℓ = 1, m = 0

Orbital is 3pz

So only one orbital can be identified with these quantum numbers.

Text Solution

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Answer : A

Solution : (a) The value of n=3 and l=1 suggests that it is a 3p-orbital while the value f `m_(l)=0` [magnetic quantum number ] shows that the given 3p-orbital is `3p_(z)` in nature. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_31Y_NEET_CHM_C02_E01_007_S01.png" width="80%"> <br> Hence, the maximum number of orbitals identified by the given quantum number is only 1, i.e. `3p_(z)`.