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NCERT Exemplar · Q19

Q.Which of the following statement is not correct from the view point of molecular orbital theory?

(i) Be2 is not a stable molecule.
(ii) He2 is not stable but He2^+ is expected to exist.
(iii) Bond strength of N2 is maximum amongst the homonuclear diatomic molecules belonging to the second period.
(iv) The order of energies of molecular orbitals in N2 molecule is σ2s < σ2s < σ2p_z < (π2p_x = π2p_y) < (π2p_x = π2p_y) < σ2p_z
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The energy ordering in statement (D) is the one valid for O2\text{O}_2/F2\text{F}_2, not for N2\text{N}_2, so (D) is the incorrect statement — option (D).

Checking each statement against molecular orbital theory:

  • (A) Be2\text{Be}_2 is not stable — correct. Its configuration gives bonding and antibonding 2s2s electrons that cancel, so bond order =12(4−4)=0=\tfrac{1}{2}(4-4)=0; the molecule does not exist.
  • (B) He2\text{He}_2 unstable but He2+\text{He}_2^{+} expected — correct. He2\text{He}_2: bond order =12(2−2)=0=\tfrac{1}{2}(2-2)=0; He2+\text{He}_2^{+}: bond order =12(2−1)=0.5=\tfrac{1}{2}(2-1)=0.5, so it can exist.
  • (C) N2\text{N}_2 has the maximum bond strength among period-2 homonuclear diatomics — correct. N2\text{N}_2 has bond order 33, the highest of the series. …

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