`O_(2)F_(2)` is an unstable yellow change solid and `H_(2)O_(2)` is a colourless liquid, both have `O-O` bond and `O-O` bond length in `H_(2)O_(2)` and `O_(2)F_(2)` respectively is `:`

Options

A. 1.22Å, 1.48Å
B. 1.48Å, 1.22Å
C. 1.22Å, 1.22Å
D. 1.48Å, 1.48Å

Explanation

To solve the question regarding the bond lengths of the O-O bond in \( H_2O_2 \) and \( O_2F_2 \), we will analyze the molecular structures and the factors affecting the bond lengths.

### Step-by-Step Solution:

1. **Identify the Structures**:
- \( H_2O_2 \) (Hydrogen Peroxide) has a structure where two oxygen atoms are bonded to each other and also to hydrogen atoms.
- \( O_2F_2 \) (Dioxygen Difluoride) has a structure where two oxygen atoms are bonded to each other and also to fluorine atoms.

2. **Understand the Bonding**:
- In \( H_2O_2 \), the bond between the two oxygen atoms is influenced by the presence of hydrogen, which is less electronegative.
- In \( O_2F_2 \), the bond between the two oxygen atoms is influenced by the presence of fluorine, which is highly electronegative.

3. **Consider Electronegativity and Bond Character**:
- According to the bent rule, the bond character is affected by the electronegativity of the atoms involved. Fluorine, being more electronegative than hydrogen, pulls electron density towards itself.
- This results in a higher p-character in the O-O bond in \( O_2F_2 \) due to the influence of fluorine.

4. **Analyze Bond Lengths**:
- The higher the p-character in a bond, the longer the bond length tends to be. In \( O_2F_2 \), the O-O bond length is shorter due to the strong pull from the electronegative fluorine atoms.
- In \( H_2O_2 \), the O-O bond length is longer because the hydrogen atoms do not exert the same strong pull on the oxygen atoms.

5. **Conclusion**:
- The bond length of the O-O bond in \( H_2O_2 \) is approximately 1.48 Å, while in \( O_2F_2 \), it is approximately 1.22 Å.
- Therefore, the O-O bond length in \( H_2O_2 \) is greater than that in \( O_2F_2 \).

### Final Answer:
The O-O bond length in \( H_2O_2 \) is greater than that in \( O_2F_2 \), with values of approximately 1.48 Å and 1.22 Å, respectively.