1 Vis(e) = where ao is the Bohr radius. The probability of finding the electron in a region W of R° is equal to I P(x, y, z)dV where, in spherical coordinates, Use integration in spherical coordinates to show that the probability of finding the electron at a distance greater than the Bohr radius is equal to 5/e? z 0.677. (The Bohr radius is ao = 5.3 x 10-11 m, but this value is not needed.)

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The wave function for the 1 s state of an electron in the hydrogen atom is

1
Vis(e) =
where ao is the Bohr radius. The probability of finding the electron in a
region W of R° is equal to
I P(x, y, z)dV
where, in spherical coordinates,
Use integration in spherical coordinates to show that the probability of
finding the electron at a distance greater than the Bohr radius is equal to
5/e? z 0.677. (The Bohr radius is ao = 5.3 x 10-11 m, but this value is
not needed.)
Transcribed Image Text:1 Vis(e) = where ao is the Bohr radius. The probability of finding the electron in a region W of R° is equal to I P(x, y, z)dV where, in spherical coordinates, Use integration in spherical coordinates to show that the probability of finding the electron at a distance greater than the Bohr radius is equal to 5/e? z 0.677. (The Bohr radius is ao = 5.3 x 10-11 m, but this value is not needed.)
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