Statement-1:Bis(dimethylglyoximato)nickel(II) can show geometrical isomerism.
Statement-2:Tetrahedral complexes with chiral structures exhibit optical isomerism.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Explanation

To analyze the statements provided in the question, we will evaluate each statement step by step.

### Step 1: Evaluate Statement 1
**Statement 1:** Bis(dimethylglyoximato)nickel(II) can show geometrical isomerism.

1. **Identify the structure:** Bis(dimethylglyoximato)nickel(II) is represented as Ni(dmg)₂, where dmg stands for dimethylglyoxime.
2. **Draw the structure:** The structure consists of a nickel ion (Ni²⁺) coordinated with two dimethylglyoxime ligands. Each ligand has nitrogen donor atoms and forms a chelate with the nickel.
3. **Analyze the arrangement:** In this complex, the nickel ion is surrounded by four nitrogen atoms (two from each ligand). Since both ligands are identical, the arrangement does not allow for distinct cis or trans configurations.
4. **Conclusion:** Because the same groups are attached to the central metal atom, geometrical isomerism (cis/trans) is not possible. Therefore, **Statement 1 is false.**

### Step 2: Evaluate Statement 2
**Statement 2:** Tetrahedral complexes with chiral structures exhibit optical isomerism.

1. **Understand tetrahedral complexes:** Tetrahedral complexes typically have a central metal atom surrounded by four ligands.
2. **Identify chirality:** A complex is chiral if it does not have a plane of symmetry. For tetrahedral complexes, if all four ligands are different, the complex is chiral.
3. **Analyze optical isomerism:** If a tetrahedral complex has four different ligands, it cannot be superimposed on its mirror image, which means it exhibits optical isomerism.
4. **Conclusion:** Therefore, **Statement 2 is true.**

### Final Conclusion
- **Statement 1:** False (no geometrical isomerism in bis(dimethylglyoximato)nickel(II)).
- **Statement 2:** True (tetrahedral complexes with chiral structures exhibit optical isomerism).

### Answer Selection
Based on the evaluations, the correct option is that Statement 1 is false and Statement 2 is true.

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