Select incorrect characteristics about `[Zn(gly)_(2)]^(0)` :

Options

A. It is diamagnetic in nature
B. It is shows optical isomerism
C. It is shows geometrical isomerism
D. It has four `N-Zn-O` bond angles

Explanation

To determine the incorrect characteristics of the complex \([Zn(gly)_{2}]^{0}\), we will analyze its properties step by step.

### Step-by-Step Solution:

1. **Identify the Ligand and Its Characteristics**:
- The ligand in the complex is Gly (glycinate), which is a bidentate ligand. This means it can bind to the metal ion (Zn) at two sites.

2. **Determine the Oxidation State of Zinc**:
- The overall charge of the complex is 0. Each glycinate ligand has a charge of -1, and since there are two glycinate ligands, the total negative charge is -2.
- Let the oxidation state of Zn be \(x\).
- The equation is:
\[ x + 2(-1) = 0 \implies x - 2 = 0 \implies x = +2 \]
- Therefore, the oxidation state of Zn in the complex is +2.

3. **Calculate the Coordination Number**:
- Since glycinate is a bidentate ligand, it donates 2 pairs of electrons (4 electrons total) to the Zn ion.
- Thus, the coordination number of Zn in this complex is 4.

4. **Electronic Configuration of Zinc**:
- The electronic configuration of Zn is \([Ar] 3d^{10} 4s^{2}\).
- In the +2 oxidation state, Zn loses the two 4s electrons, resulting in \([Ar] 3d^{10}\).

5. **Determine Magnetic Properties**:
- Since all 10 d-electrons are paired in the 3d orbitals, the complex is **diamagnetic** (no unpaired electrons).

6. **Analyze Isomerism**:
- **Optical Isomerism**: This complex has an unsymmetric bidentate ligand, which means it lacks symmetry. Therefore, it cannot exhibit optical isomerism.
- **Geometrical Isomerism**: In tetrahedral complexes, geometrical isomerism (cis-trans) does not occur because there are no opposite positions to create such isomers.

7. **Bond Angles**:
- The complex has 4 N-Zn-O bond angles due to the tetrahedral geometry.

### Summary of Characteristics:
- The complex \([Zn(gly)_{2}]^{0}\) is:
- Diamagnetic (correct)
- Does not show optical isomerism (incorrect characteristic)
- Does not show geometrical isomerism (correct)
- Has 4 N-Zn-O bond angles (correct)

### Conclusion:
The incorrect characteristic about the complex \([Zn(gly)_{2}]^{0}\) is that it shows optical isomerism. Therefore, the answer is option C.