Question: The electron in a hydrogen atom is in the ground state (n,l,m) = (1, 0, 0), with wave function (r,,) = R10(r)Y00(,) given in Tables

The electron in a hydrogen atom is in the ground state (n,l,m) = (1, 0, 0), with wave function (r,,) = R10(r)Y00(,) given in Tables 7.1 and 7.2 in textbook. (a) Write down the wave function , and sketch versus radius. (b) Show or justify in words that the probability of finding the electron between r and r + dr is 4r2 |(r)| 2dr. (c) Sketch the radial probability density versus r. (d) Find the radius at which the electron is most likely to be found. (e) Show that the wave function is normalized. (f) Find the probability of finding the electron in the range a0/2 < r < 3a0/2.

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