MediumChemistryHigh School (11–12)Structure of the Atom › Light, Atomic Spectra and the Bohr ModelNumerical

Find the wavelength of the line of hydrogen produced when an electron falls from n = 5 to n = 4.

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Find the wavelength of the line of hydrogen produced when an electron falls from $n = 5$ to $n = 4$ . In which part of the spectrum is it? Use $R_H = 1.097 \times 10^{7}\ \text{m}^{-1}$ .

Need a reminder? The key ideaShow

Hydrogen's lines obey $\tilde{\nu} = R_H\left(\dfrac{1}{n_1^2} - \dfrac{1}{n_2^2}\right)$ , with $R_H = 1.097 \times 10^{7}\ \text{m}^{-1}$ . Lyman ends on $n_1 = 1$ , Balmer on $2$ , Paschen on $3$ , Brackett on $4$ . From level $n$ , $\dfrac{n(n - 1)}{2}$ different lines are possible.

The worked solution

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