4AB › Chemistry PYQ › CSIR-NET › June 2014 › Q78Q78 · CSIR-NET Chemistry, June 2014 Paper: CSIR-NET June 2014 · Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Marks: 2 · Difficulty: Medium
The ground state energy of hydrogen atom is -13.598 eV . The expectation values of kinetic energy, $<\mathrm{T}>$ and potential energy, <V>, in units of eV, are
(a) $\langle\mathrm{T}\rangle=13.598,\langle\mathrm{V}\rangle=-27.196$
(b) $\langle\mathrm{T}\rangle=-27.196,\langle\mathrm{V}\rangle=13.598$
(c) $\langle\mathrm{T}\rangle=-6.799,\langle\mathrm{V}\rangle=-6.799$
(d) $\langle\mathrm{T}\rangle=6.799,\langle\mathrm{V}\rangle=-20.397$
Answer Answer: A ✓ checked by 4AB · confidence high
The source book printed no answer; this one was worked out and checked — see the explanation.
Explanation Virial theorem for a Coulomb potential: ⟨T⟩ = −E = 13.598 eV, ⟨V⟩ = 2E = −27.196 eV.
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