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AP EAMCET · Chemistry · Structure of Atom

The wave functions of \(1 s\)-orbitals of two hydrogen atoms are \(\psi_A\) and \(\psi_B . \psi_A\) and \(\psi_B\) are linearly combined to form two molecular orbitals \(\left(\sigma\right.\) and \(\left.\sigma^*\right)\). Which of the following statements are correct?
I. \(\sigma^*\) is equal to \(\left(\psi_A-\psi_B\right)\).
II. In \(\sigma\)-orbital, one nodal plane is present in between two nuclei.
III. The energy of \(\sigma\)-orbital is lower than the energy of \(\sigma^*\)-orbital.

  1. A I, II, III
  2. B I, II only
  3. C II, III only
  4. D I, III only
Verified Solution

Answer & Solution

Correct Answer

(D) I, III only

Step-by-step Solution

Detailed explanation

According to molecular orbital theory: I. \(\sigma^*\)-orbital are formed by the substraction of two wave functions say \(\psi_A\) and \(\psi_B\) and therefore \(\sigma^*=\psi_A-\psi_B\). II. \(\sigma\)-orbital are formed when two orbitals are in same phase and thus, do not have…