Let’s analyze the changes using Molecular Orbital (MO) theory. For \( {O2} \), the MO configuration is \[ (\sigma_{2s})^2 (\sigma^*_{2s})^2 (\sigma_{2p})^2 (\pi_{2p})^4 (\pi^*_{2p})^2, \] with 8 valence electrons in bonding orbitals and 4 in antibonding orbitals. Bond order = \( \frac{8 - 4}{2} = 2 \). \( {O2} \) is paramagnetic due to two unpaired electrons in the \( \pi^*_{2p} \) orbitals.
- Change I: \( {O2 \rightarrow O2^{2-}} \) (adds 2 electrons): The electrons go to the \( \pi^*_{2p} \) orbitals, making the configuration \( (\pi^*_{2p})^4 \). Bond order = \( \frac{8 - 6}{2} = 1 \). The bond order decreases by 1 (not 0.5), so (A) is incorrect, but (B) is correct. \( {O2^{2-}} \) becomes diamagnetic (no unpaired electrons), so the magnetic property changes.
- Change II: \( {O2 \rightarrow O2^{-}} \) (adds 1 electron): The configuration becomes \( (\pi^*_{2p})^3 \). Bond order = \( \frac{8 - 5}{2} = 1.5 \), a decrease of 0.5, so (C) is correct. \( {O2^{-}} \) remains paramagnetic (one unpaired electron), so the magnetic property does not change.
- Option (D): Since the magnetic property changes in (I) but not in (II), (D) is incorrect.
Thus, the correct statements are (B) and (C).