WHICH HAS PRINCIPAL QUANTUM NUMBER OF 3 AND ANGULAR MOMENTUM QUANTUM NUMBER OF 2 A 3s b 3d c 4f d 3f

To determine which option has a principal quantum number of 3 and an angular momentum quantum number of 2, we need to understand the quantum number notation and how it corresponds to different electron orbitals.

The principal quantum number (n) represents the energy level or shell in which an electron is located. It can have integer values starting from 1 (n=1), where the electron is closest to the nucleus, and increasing as the energy level gets higher.

The angular momentum quantum number (l) determines the shape of the electron's orbital within a particular energy level. It can have integer values ranging from 0 to (n-1).

Based on this information, let's analyze the given options:

a) 3s: In this case, the principal quantum number (n) is 3, which matches the requirement. However, the angular momentum quantum number (l) is 0, not 2. Therefore, this option does not satisfy the given conditions.

b) 3d: Here, the principal quantum number (n) is indeed 3, and the angular momentum quantum number (l) is 2, which matches the requirement. This option satisfies both conditions.

c) 4f: This option has a principal quantum number (n) of 4, which does not match the requirement of 3. Therefore, this option does not satisfy the given conditions.

d) 3f: Similarly, this option has a principal quantum number (n) of 3, which is correct. However, the angular momentum quantum number (l) is specified as 3, not 2. Therefore, this option does not satisfy the given conditions.

In conclusion, option b) 3d has a principal quantum number of 3 and an angular momentum quantum number of 2, matching the given conditions.