- Assertion (A): The given molecular orbitals (\(\pi (2p_{z})\), \(\pi (2p_{y})\), \(\pi^{*} (2p_{z})\), and \(\pi^{*} (2p_{y})\)) all have one nodal plane. This is correct because the \(\pi\) and \(\pi^{*}\) orbitals formed by the sideways overlapping of atomic orbitals always have one nodal plane between the nuclei. These orbitals involve lateral (sideways) overlap and create a single node in between, leading to the formation of bonding and anti-bonding molecular orbitals.
- Reason (R): The reason states that "All the molecular orbitals formed by the sideways overlapping have one nodal plane." While this is true for the \(\pi\) and \(\pi^{*}\) molecular orbitals formed by sideways overlap, this reason does not correctly explain the assertion. The assertion specifically refers to the \(\pi\) and \(\pi^{*}\) molecular orbitals, while the reason is more generalized and applies to all sideways overlapping molecular orbitals, which is not specific to the assertion made.
Therefore, the assertion is true, but the reason is not the correct explanation of the assertion, making the correct answer (B)