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Atomic and Molecular Structure question

2025 · Q9
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Atomic and Molecular Structure question

2025 · Q9

IIT JAMChemistryAtomic and Molecular StructureMCQ+1 / −0.33
A system having Hamiltonian H^\hat{H}H^ follows the eigenvalue equation, H^Ψn=EnΨn\hat{H}\Psi_n = E_n\Psi_nH^Ψn​=En​Ψn​, with En=(n+12)E_n = \left(n + \frac{1}{2}\right)En​=(n+21​). If the state of the system is prepared as, Ψ=N(Ψ1+Ψ2+Ψ3−Ψ4−Ψ5)\Psi = N(\Psi_1 + \Psi_2 + \Psi_3 - \Psi_4 - \Psi_5)Ψ=N(Ψ1​+Ψ2​+Ψ3​−Ψ4​−Ψ5​), where NNN is the normalization constant, then the expectation value of energy is
  1. A
    -0.5
  2. B
    -2.5
  3. C
    3.5
  4. D
    17.5
View written solutionFree

Correct answer: C

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