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 : \(A_2 \rightleftharpoons 2A\)
A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant, b = 2.88×106 nm-K. Then,