please do e? 1. iIf we think of an electron as a particle, the functionC(p(t) dt = 1 – (2r2 + 2r + 1)e-2ris the cumulative distribution function of the distance, R, of the electron in a hydrogenatom from the center of the atom. The distance is measured in Bohr radii (1 Bohrradius = 5.29 x 10-"m.) For example, C(1) = 5e-2z 0.32 means that the electron iswithin 1 Bohr radius from the center of the atom 32% of the time.(a) Determine lim C(r) and interpret its meaning.(b) Find p(t) and sketch both p(t) and C(r).(c) Find the mean distance.(d) Near what value of r is an electron most likely to be found?1(e) Find the standard deviation o of the distribution of the distance R, with meanH, where the variance o? is defined by(t – µ)°p(t) dt

Name: please do e? 1. iIf we think of an electron as a particle, the functio
Uploaded: 2024-03-20T07:07:37.000Z
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Description: please do e? 1. iIf we think of an electron as a particle, the functionC(p(t) dt = 1 – (2r2 + 2r + 1)e-2ris the cumulative distribution function of the distance, R, of the electron in a hydrogenatom from the center of the atom. The distance is measur