The wave function for the first excited state of hydrogen (n=2, ell=0) is [psi(r)=frac{1}{4 sqrt{2 a_{0}^{3} pi}}left(2-frac{r}{a_{0}}ight)

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The wave function for the first excited state of hydrogen $n=2, \ell=0$ is

\[\psi(r)=\frac{1}{4 \sqrt{2 a_{0}^{3} \pi}}\left(2-\frac{r}{a_{0}}ight) e^{-\frac{r}{2 a_{0}}}\]

Take the reduced mass to be $\approx m_{e}$.

Use Schrödinger's wave equation to calculate the energy of this state.

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The wave function for the first excited state of hydrogen (n=2, ell=0) is [psi(r)=frac{1}{4 sqrt{2 a_{0}^{3} pi}}left(2-frac{r}{a_{0}}ight)

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