Question
Calculate the most probable distance, rₘₚ, of the electron from the nucleus in the ground state of hydrogen atom, given that the normalized ground state wave function is
Answer :
Word Count : 150
The ground-state hydrogen wavefunction is $\psi_{100}=(\pi a_0^3)^{-1/2}e^{-r/a_0}$, where $a_0$ is the Bohr radius. The physically meaningful radial probability density for finding the electron between r and r+dr is $P(r)\,dr=4\pi r^2|\psi_{100}|^2dr=4r^2a_0^{-3}e^{-2r/a_0}dr$. To locate the most probable radius $r_{mp}$ _________ _______ ______ ______ __________ _________ ______.
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The ground-state hydrogen wavefunction is $\psi_{100}=(\pi a_0^3)^{-1/2}e^{-r/a_0}$, where $a_0$ is the Bohr radius. The physically meaningful radial probability density for finding the electron between r and r+dr is $P(r)\,dr=4\pi r^2|\psi_{100}|^2dr=4r^2a_0^{-3}e^{-2r/a_0}dr$. To locate the most probable radius $r_{mp}$ _________ _______ ______ ______ __________ _________ ______.
_______ ______ __________ ____ __________ _________.
_______ ____ __________ ________ ____ _____ _________ __________.
___ _______ _____ _______ _________ ________ _____ _________ ____ ________ _________ _______.
__________ _____ _________ ________ __________ ________ _____ _________ _______.
__________ _______ ____ ___ ________ ________ _______ __________.
_______ _________ ____ __________ _________ ______ __________ _________ __________ ______ ______ __________.
______ _________ _______ ________ __________ ___ _________ _________ ________ ____ ________.
________ ________ ____ ______ __________ ________.
__________ ________ __________ ________ ________ ________ ___ ________ ___ _________.
_______ __________ __________ ________ __________ ______ ___ _________ __________.
_______ _____ ___ _____ _______ ________ ______.
__________ ________ ________ ____ _____ ______ ___ ___.
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