The possible sub-shell in `n = 3` energy shell are

Options

A. s,p,d
B. s,p,d,f
C. s,p
D. s Only

Answer

To determine the possible sub-shells in the n = 3 energy shell, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Principal Quantum Number (n)**:
- The principal quantum number (n) indicates the energy level of an electron in an atom. In this case, n = 3.

2. **Determine the Range of the Azimuthal Quantum Number (l)**:
- The azimuthal quantum number (l) defines the shape of the orbital and can take values from 0 to (n - 1).
- For n = 3, the possible values for l are:
- l = 0
- l = 1
- l = 2

3. **Assign Sub-shells to the Values of l**:
- Each value of l corresponds to a specific sub-shell:
- l = 0 corresponds to the s sub-shell
- l = 1 corresponds to the p sub-shell
- l = 2 corresponds to the d sub-shell

4. **List the Possible Sub-shells**:
- Therefore, the possible sub-shells for n = 3 are:
- 3s (for l = 0)
- 3p (for l = 1)
- 3d (for l = 2)

### Final Answer:
The possible sub-shells in the n = 3 energy shell are: **3s, 3p, and 3d**.

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