NVAEasyJEE 2024Molecular Orbital Theory

JEE Chemistry 2024 Question with Solution

The linear combination of atomic orbitals to form molecular orbitals takes place only when the combining atomic orbitals:

Choose the most appropriate answer from the options given below:

Statements: (A) A. have the same energy (B) B. have the minimum overlap (C) C. have the same symmetry about the molecular axis (D) D. have different symmetry about the molecular axis

Find the number of correct statement(s).

Answer

Correct answer:2

Step-by-step solution

Standard Method

Given: The question asks the conditions under which atomic orbitals combine through the linear combination of atomic orbitals to form molecular orbitals.

Find: The most appropriate correct option.

From the solution text, effective combination requires:

  • atomic orbitals to have the same or very similar energy
  • atomic orbitals to have the same symmetry about the molecular axis
  • effective overlap should be significant, so minimum overlap is not correct

Thus, statements A and C are correct, while B and D are incorrect.

However, the provided options are listed as four separate statements, whereas the solution concludes A and C only and also shows "The Correct Option is B". This indicates a source-format discrepancy between the option layout and the answer key.

Therefore, based on the solution working, the correct conclusion is A and C only, but it cannot be mapped unambiguously to a single displayed option.

Detailed Reasoning

Given: Conditions for formation of molecular orbitals using LCAO.

Find: Which listed statements are correct.

  1. A. have the same energy — correct, because atomic orbitals combine effectively when their energies are equal or nearly equal.
  2. B. have the minimum overlap — incorrect, because effective molecular orbital formation requires appreciable overlap, not minimum overlap.
  3. C. have the same symmetry about the molecular axis — correct, because compatible symmetry is necessary for combination.
  4. D. have different symmetry about the molecular axis — incorrect, because orbitals of different symmetry do not combine effectively.

Therefore, the correct set is A and C only. The solution's’s displayed single-letter key does not match the displayed statement-wise options.

Common mistakes

  • Assuming that minimum overlap helps orbital combination. This is wrong because molecular orbital formation becomes effective only when overlap is appreciable. Use the idea of maximum or significant overlap instead.

  • Ignoring symmetry while checking orbital combination. This is wrong because orbitals with different symmetry about the molecular axis cannot combine effectively. Always test symmetry compatibility.

  • Treating equal energy as the only condition. This is incomplete because similar energy alone is not sufficient; proper symmetry is also required for LCAO.

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