(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The average function of the H-atom in its ground state is ψ([itex]\vec{r}[/itex])=(1/(πa_{0}^{3})^{1/2}exp(-r/a_{0})

a_{0}: Bohr radius

a.What is the probability

i. P([itex]\vec{r}[/itex])d^{3}[itex]\vec{r}[/itex] that the electron will be found in the volume

d^{3}[itex]\vec{r}[/itex] around [itex]\vec{r}[/itex]?

ii. Pdr that the electron will be found within the infinitesimal spherical shell of radius r and thickness dr ?

b. Calculate the rms uncertainty [itex] \langle[/itex]r-[itex] \langle[/itex]r[itex] \rangle[/itex]^{2}[itex] \rangle[/itex]^{1/2}

Let me update this post a little later. It took me some time to write the whole thing with the notations.

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# Homework Help: Probabilty of finding the electron of the hydrogen atom in

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