Choose the incorrect statement (s) :

Options

A. For a particlar orbital in hyderogen atom, the wave function may have negative value
B. Radial robability distribution function may have zero value but can never have nagative value
C. `3d_(x^(2)-y^(2))` orbital has two angular nodes and one radial node
D. yz and xz planes are nodal planes for `d_(xy)` orbital

Answer

To solve the question of identifying the incorrect statement(s) among the provided options, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement A**: "For a particular orbital in a hydrogen atom, the wave function may have a negative value."
- **Analysis**: The wave function (ψ) for an orbital can indeed have both positive and negative values. This is because the wave function describes the probability amplitude, and its square gives the probability density, which is always non-negative. Therefore, this statement is **correct**.

2. **Statement B**: "The radial probability distribution function may have zero value but can never have a negative value."
- **Analysis**: The radial probability distribution function is given by \(4 \pi r^2 |\psi|^2\). Since this is derived from the square of the wave function, it can only be zero or positive. It can be zero at certain points (nodes) but never negative. Thus, this statement is **correct**.

3. **Statement C**: "3D x² - y² orbital has two angular nodes and one radial node."
- **Analysis**: For the 3D x² - y² orbital:
- The principal quantum number \(n = 3\).
- The azimuthal quantum number \(l = 2\) (since it is a d-orbital).
- The number of radial nodes is calculated as \(n - l - 1 = 3 - 2 - 1 = 0\) (so there are no radial nodes).
- The number of angular nodes is equal to \(l = 2\) (which is correct).
- Therefore, the statement incorrectly states that there is one radial node when in fact there are zero. This statement is **incorrect**.

4. **Statement D**: "The YZ and XZ planes are nodal planes for the DXY orbital."
- **Analysis**: The DXY orbital has two nodal planes, which are indeed the YZ and XZ planes. This statement is **correct**.

### Conclusion:
The only incorrect statement among the options is **Statement C**.

### Final Answer:
The incorrect statement is **C**.

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