Assume internuclear axis to be z-axis, the correct molecular orbital representation of \(\pi^*\) antibonding molecular orbital formed by overlapping between two \(p\) orbitals will be:

Concept: \(\pi\) and \(\pi^*\) molecular orbitals are formed by sideways overlap of \(p\)-orbitals perpendicular to the internuclear axis. • \(\pi\) bonding MO: constructive overlap of lobes. • \(\pi^*\) antibonding MO: destructive overlap with a nodal plane between nuclei. If the internuclear axis is \(z\)-axis, then overlap occurs between \(p_x\) or \(p_y\) orbitals.
Step 1: Nature of antibonding orbital In \(\pi^*\) antibonding MO: • Opposite phases overlap. • A node exists between the nuclei. • Electron density is outside the internuclear region.
Step 2: Identify correct diagram Among the given options, diagram (3) correctly shows: • sidewise overlap • opposite phases of \(p\)-orbitals • nodal region between nuclei Thus the correct representation is option (3). \[ \boxed{\text{Correct option: (3)}} \]
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)

Cobalt chloride when dissolved in water forms pink colored complex $X$ which has octahedral geometry. This solution on treating with cone $HCl$ forms deep blue complex, $\underline{Y}$ which has a $\underline{Z}$ geometry $X, Y$ and $Z$, respectively, are
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)