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The wave function for a hydrogen atom in the ground state is given by

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( 25 marks) The wave function for a hydrogen atom in the ground state is given by \(\psi(r)=A e^{-r / a_{s}}\), where \(A\) is a constant and \(a_{B}\) is the Bohr radius. (a) Find the constant \(A\). (b) Determine the expectation value of the potential energy for the ground state of hydrogen.

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check carefully the calculation and limit of integration. all the calculation done is correct and I have use gamma function to solve integration. thanks

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