The wave function of a molecular orbital formed by reinforce of wave functions of ΨA and ΨB of atomic orbital A and B is represented as

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The wave function of a molecular orbital formed by reinforce of wave functions of $Ψ_{A}$ and $Ψ_{B}$ of atomic orbital A and B is represented as

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$Ψ_{A} \pm Ψ_{B}$

$Ψ_{A} - Ψ_{B}$

$2 Ψ_{A} + Ψ_{B}$

$Ψ_{A} + Ψ_{B}$

answer is A.

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Detailed Solution

An atomic orbital is an electron wave, the waves of the two atomic orbitals may be in phase
or out of phase. Suppose $Ψ_{A}$ and $Ψ_{B}$ represent the amplitude of the electron wave of the
atomic orbitals of the two atoms A and B.
Case 1: When the two waves are in phase so that they add up and amplitude of the wave is $Φ = Ψ_{A} + Ψ_{B}$