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[Solved/QM-06004] Probability for electron being in non-classical region

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Show that the probability that electron in  the ground state of hydrogen  atom will be found outside the classical region is $13e^{-4}$.  It is   given that the normalized radial wave function of the  electron,  in the ground state, is  $$ R_{10}({r}) = 2 \left(1\over a_0\right)^{3/2} \exp(-r/a_0) $$   where \(a_0=\frac{\hbar^2}{me^2}\) is the Bohr radius and the energy levels of H atom are given to be \(E_n= -\frac{e^2}{2a_0n^2}\)

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