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ifos โ€ข paper_2 โ€ข quantum_mechanics

[UPSC IFoS 2022] Angular momentum, spin etc (Q261, 10M)

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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