Two compounds `PX_(2)Y_(3) and PX_(3)Y_(2)` (Where P=phosphorous atom and X, Y= monovalent atoms). If all 'X' atoms are replaced by 'Z' atoms and electronegativity order is `XgtYgtZ`. Then incorrect statement (s) is/are:

Options

A. The dipole moment of product obtained from `PX_(2)Y_(3)` is non-zero
B. The dipole moment of product obtained from `PX_(2)Y_(3)` is zero
C. The dipole moment of product obtained from `PX_(3)Y_(2)` is zero
D. The dipole moment of product obtained from `PX_(3)Y_(2)` is non-zero

Explanation

To solve the problem, we need to analyze the two compounds \(PX_2Y_3\) and \(PX_3Y_2\) and their behavior when the atoms \(X\) are replaced by \(Z\) under the given electronegativity order \(X > Y > Z\).

### Step-by-Step Solution:

1. **Identify the Hybridization and Geometry of Phosphorus:**
- Phosphorus (P) has the electronic configuration of \(3s^2 3p^3\).
- To accommodate five monovalent atoms (X and Y), phosphorus undergoes \(sp^3d\) hybridization, resulting in a trigonal bipyramidal geometry.

2. **Assign Positions Based on Electronegativity:**
- In a trigonal bipyramidal structure, the more electronegative atoms prefer the axial positions.
- Given the electronegativity order \(X > Y > Z\), \(X\) will occupy the axial positions in both compounds.

3. **Construct the Structures:**
- For \(PX_2Y_3\):
- Place \(X\) in the axial positions and \(Y\) in the equatorial positions.
- For \(PX_3Y_2\):
- Similarly, place \(X\) in the axial positions and \(Y\) in the equatorial positions.

4. **Replace \(X\) with \(Z\):**
- Replace \(X\) with \(Z\) in both compounds:
- \(PX_2Y_3\) becomes \(PZ_2Y_3\)
- \(PX_3Y_2\) becomes \(PZ_3Y_2\)

5. **Analyze the Dipole Moments:**
- For \(PZ_2Y_3\):
- The two \(Z\) atoms in axial positions and three \(Y\) atoms in equatorial positions will have their dipole moments cancel out due to symmetry, resulting in a net dipole moment of zero.
- For \(PZ_3Y_2\):
- The three \(Z\) atoms in axial positions and two \(Y\) atoms in equatorial positions will not cancel out completely, leading to a non-zero dipole moment.

6. **Evaluate the Statements:**
- **Option A:** Dipole moment of \(PZ_2Y_3\) is non-zero. (Incorrect)
- **Option B:** Dipole moment of \(PZ_2Y_3\) is zero. (Correct)
- **Option C:** Dipole moment of \(PZ_3Y_2\) is zero. (Incorrect)
- **Option D:** Dipole moment of \(PZ_3Y_2\) is non-zero. (Correct)

### Conclusion:
The incorrect statements are **Option A** and **Option C**.