Arrange the following in the increasing order of bond length : `O_(2),O_(2)^(-), O_(2)^(+)`

Explanation

To arrange the molecules \( O_2 \), \( O_2^- \), and \( O_2^+ \) in increasing order of bond length, we need to determine their bond orders first. The bond order can be calculated using Molecular Orbital Theory (MOT). Here’s how we can do that step by step:

### Step 1: Determine the Electron Configuration
1. **For \( O_2 \)**:
- Total electrons = 16 (8 from each oxygen atom)
- Molecular orbital filling:
- \( \sigma_{1s}^2 \)
- \( \sigma_{1s}^*^2 \)
...