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In my textbook it said the following:

Photons with wavelengths in the spectral range of $[94nm,104nm]$, interact the hydrogen atom in the basic state. Photons having those wavelengths can stimulate the hydrogen atom to $n=3,4,5$ levels.

I'm trying to figure out why it's true. Given some wavelength $\lambda$, how can I know which level it can get?

I'm familiar with the Rydberg formula: $$ \frac{1}{\lambda_{m\to n}}=R\cdot\left(\frac{1}{n^2}-\frac{1}{m^2}\right) $$ where $m>n$ and $R=1.097\cdot10^{-7}m^{-1}$. But because there are two values $n,m$, I'm struggling to figure out a sophisticated way to find the levels. I could just insert $\lambda=94nm$ and check for each $n$ it's $m$'s but it sounds like not so much a sophisticated way. Is there a better way?

In my textbook it said the following:

Photons with wavelengths in the spectral range of $[94\mathrm{\ nm},104\mathrm{\ nm}]$, interact the hydrogen atom in the basic state. Photons having those wavelengths can stimulate the hydrogen atom to $n=3,4,5$ levels.

I'm trying to figure out why it's true. Given some wavelength $\lambda$, how can I know which level it can get?

I'm familiar with the Rydberg formula: $$ \frac{1}{\lambda_{m\to n}}=R\cdot\left(\frac{1}{n^2}-\frac{1}{m^2}\right) $$ where $m>n$ and $R=1.097\cdot10^7\ \mathrm{m}^{-1}$. But because there are two values $n,m$, I'm struggling to figure out a sophisticated way to find the levels. I could just insert $\lambda=94\mathrm{\ nm}$ and check for each $n$ it's $m$'s but it sounds like not so much a sophisticated way. Is there a better way?

In my textbook it said the following:

Photons with wavelengths in the spectral range of $[94nm,104nm]$, interact the hydrogen atom in the basic state. Photons having those wavelengths can stimulate the hydrogen atom to $n=3,4,5$ levels.

I'm trying to figure out why it's true. Given some wavelength $\lambda$, how can I know which level it can get?

In my textbook it said the following:

Photons with wavelengths in the spectral range of $[94nm,104nm]$, interact the hydrogen atom in the basic state. Photons having those wavelengths can stimulate the hydrogen atom to $n=3,4,5$ levels.

I'm trying to figure out why it's true. Given some wavelength $\lambda$, how can I know which level it can get?

I'm familiar with the Rydberg formula: $$ \frac{1}{\lambda_{m\to n}}=R\cdot\left(\frac{1}{n^2}-\frac{1}{m^2}\right) $$ where $m>n$ and $R=1.097\cdot10^{-7}m^{-1}$. But because there are two values $n,m$, I'm struggling to figure out a sophisticated way to find the levels. I could just insert $\lambda=94nm$ and check for each $n$ it's $m$'s but it sounds like not so much a sophisticated way. Is there a better way?