Which one is a wrong statement

Options

A. Total orbital angular momentum of electron in ‘s’ orbital is equal to zero
B. An orbital is designated by three quantum numbers while an electron in an atom is designated by four quantum numbers
C. The electronic configuration of N atom is

D. The value of m for `d_(z)^(2)` is zero

Explanation

To determine which statement is wrong, we will analyze each statement one by one.

### Step 1: Analyze the first statement
**Statement:** The total angular momentum of an electron in the S orbital is equal to 0.

**Analysis:**
- The S orbital corresponds to the angular momentum quantum number (l) of 0.
- The total angular momentum (L) for an electron in an S orbital is indeed 0.
- **Conclusion:** This statement is correct.

### Step 2: Analyze the second statement
**Statement:** An orbital is designated by 3 quantum numbers while an electron in an atom is designated by 4 quantum numbers.

**Analysis:**
- Each orbital is described by three quantum numbers: principal quantum number (n), azimuthal quantum number (l), and magnetic quantum number (m).
- An electron in an atom is described by four quantum numbers: n, l, m, and spin quantum number (s).
- **Conclusion:** This statement is correct.

### Step 3: Analyze the third statement
**Statement:** The electronic configuration of nitrogen is 1s² 2s² 2p³.

**Analysis:**
- The correct electronic configuration for nitrogen (atomic number 7) is indeed 1s² 2s² 2p³.
- According to Hund's rule, electrons will fill degenerate orbitals (like the three 2p orbitals) singly before pairing up.
- The correct filling should be 2p_x¹ 2p_y¹ 2p_z¹ before any pairing occurs.
- If the statement suggests otherwise (like pairing before filling), it would be incorrect.
- **Conclusion:** This statement is incorrect based on the application of Hund's rule.

### Step 4: Analyze the fourth statement
**Statement:** The value of m for dz² is 0.

**Analysis:**
- The magnetic quantum number (m) can take values from -l to +l.
- For d orbitals, l = 2, so m can be -2, -1, 0, 1, or 2.
- The dz² orbital corresponds to m = 0.
- **Conclusion:** This statement is correct.

### Final Conclusion
The wrong statement among the options is the third statement regarding the electronic configuration of nitrogen.

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