Concept: Bond length depends on bond order. • Higher bond order → shorter bond length
• Lower bond order → longer bond length
Resonance can reduce bond order and increase bond length. [width=0.5]18c ans.png
Step 1: Compound (a) \[ CH_3{-}CO{-}CH_3 \] This contains a normal carbonyl bond \(C=O\). Bond order \(=2\). Hence bond length is relatively shorter.
Step 2: Compound (c) \[ CH_3{-}COO^- \] Carboxylate ion has resonance between two oxygen atoms. \[ R{-}C=O \leftrightarrow R{-}C{-}O^- \] Thus both C–O bonds become equivalent with bond order \(1.5\). Hence bond length is intermediate.
Step 3: Compound (b) In this structure, resonance with the benzene ring gives a quasi-aromatic resonance form. \[ \text{Resonance structures (RS1 and RS2)} \] This delocalization decreases the effective bond order of the C–O bond. Therefore C–O bond length becomes maximum.
Step 4: Final order \[ b > c > a \] Thus, \[ \boxed{\text{Option (2) is correct}} \]
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,