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).
The logic gate equivalent to the combination of logic gates shown in the figure is