ABC26PH0298 · Atomic Structure

Subject: Physical Chemistry · Chapter: Atomic Structure · Topic: Atomic Structure – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

Let $\phi_{\mathrm{x}}^{\mathrm{C}}$ and $\phi_{\mathrm{z}}^{\mathrm{C}}$ denote the wavefunctions of the $2 \mathrm{p}_{\mathrm{x}}$ and $2 \mathrm{p}_{\mathrm{z}}$ orbitals of carbon, respectively, and $\phi_{\mathrm{x}}^{\mathrm{C}}$ and $\phi_{\mathrm{z}}^{0}$ represent the wavefunction of the $2 p_{x}$ and $2 p_{z}$ orbitals of oxygen, respectively. If $c_{1}$ and $c_{2}$ are constants used in linear combinations and the CO molecule is oriented along the z axis than, according to molecular orbital theory, the $\pi$-bonding molecular orbital has a wavefunction given by
(a)$\mathrm{c}_{1} \phi_{\mathrm{z}}^{\mathrm{C}}+\mathrm{c}_{2} \phi_{\mathrm{x}}^{0}$
(b)$c_{1} \phi_{z}^{C}+c_{2} \phi_{z}^{0}$
(c)$c_{1} \phi_{\mathrm{x}}^{\mathrm{C}}+c_{2} \phi_{\mathrm{z}}^{0}$
(d)$\mathrm{c}_{1} \phi_{\mathrm{x}}^{\mathrm{C}}+\mathrm{c}_{2} \phi_{\mathrm{x}}^{0}$
Answer
Answer (as printed): D
Explanation
No explanation was printed for this question.

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