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(C) Let us analyze each option:$A$. Bond length of $C=O$ depends on the extent of resonance. More resonance means more single bond character,hence hig

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(C) Let us analyze each option:$A$. Bond length of $C=O$ depends on the extent of resonance. More resonance means more single bond character,hence higher bond length. Cyclohexanone has no resonance,while the others have increasing conjugation,so the order is incorrect.$B$. Resonance energy is higher for more conjugated systems. The second molecule is a cross-conjugated system,which is generally less stable than the extended conjugated system in the first molecule. Thus,the order is incorrect.$C$. The stability of carbocations is governed by resonance and aromaticity. The pyrylium ion is aromatic and highly stable,followed by resonance-stabilized allylic cations. This order is correct.$D$. Dipole moment increases with the contribution of polar resonance structures that achieve aromaticity. Cyclohepta$-2,4,6-$trienone (tropone) has a highly polar aromatic resonance structure,making it have a very high dipole moment. The order is correct.

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