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ifos • paper_2 • quantum_mechanicsifos-2022-subject-05-006

Expectation values — UPSC IFoS 2022 Physics PYQ

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The normalized eigenfunction for the ground state of hydrogen atom is \Psi_{100} = \frac{1}{\sqrt{\pi}} \left( \frac{Z}{a_0} \right)^{3/2} e^{-Zr/a_0} Calculate the expectation value of the radius vector r of the electron in the ground state.

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