The CORRECT statements about the structure of `H_(2)O_(2),O_(2)F_(2)` and `OF_(2)` is /are

Answer

To determine the correct statements about the structure of \( H_2O_2 \), \( O_2F_2 \), and \( OF_2 \), we will analyze each compound step by step.

### Step 1: Analyze the structure of \( H_2O_2 \) (Hydrogen Peroxide)
- **Structure**: \( H_2O_2 \) has an open book-like structure. The oxygen atoms are bonded to each other and to hydrogen atoms, with two lone pairs on each oxygen atom.
- **Polarity**: The presence of lone pairs on the oxygen atoms creates a dipole moment, making \( H_2O_2 \) a polar molecule.

### Step 2: Analyze the structure of \( O_2F_2 \) (Dioxygen Difluoride)
- **Structure**: Similar to \( H_2O_2 \), \( O_2F_2 \) also exhibits an open book-like structure with two oxygen atoms bonded to each other and to two fluorine atoms.
- **Polarity**: The electronegativity of fluorine creates bond polarity, resulting in a dipole moment. Therefore, \( O_2F_2 \) is also polar.

### Step 3: Analyze the structure of \( OF_2 \) (Oxygen Difluoride)
- **Structure**: \( OF_2 \) has a bent structure with two fluorine atoms bonded to a central oxygen atom, which has two lone pairs.
- **Polarity**: The high electronegativity of fluorine leads to a significant dipole moment, making \( OF_2 \) polar as well.

### Step 4: Compare bond lengths
- **Bond Length in \( H_2O_2 \)**: The bond length between the oxygen atoms in \( H_2O_2 \) is greater than that in \( O_2F_2 \) due to the lesser electronegativity of hydrogen compared to fluorine. The electron density around the oxygen in \( H_2O_2 \) is higher, leading to increased repulsion and thus a longer bond length.

- **Bond Length in \( OF_2 \) vs \( O_2F_2 \)**: The bond length in \( OF_2 \) is shorter than that in \( O_2F_2 \). In \( OF_2 \), the lone pairs on oxygen create more repulsion, while in \( O_2F_2 \), the structure allows for greater bond length to minimize repulsion between the bonded pairs.

### Conclusion
Based on the analysis:
1. **Statement 1**: \( H_2O_2 \) is polar - **Correct**
2. **Statement 2**: The bond length between \( H-O \) in \( H_2O_2 \) is greater than \( O-O \) in \( O_2F_2 \) - **Correct**
3. **Statement 3**: \( OF_2 \) has a greater bond length compared to \( O_2F_2 \) - **Correct**

All statements are correct.