Calculate the longest wavelength of the hydrogen Balmer series using

Leon Robinson

Leon Robinson

Answered question

2022-05-13

Calculate the longest wavelength of the hydrogen Balmer series using the Bohr model of the atom.

Answer & Explanation

Gary Salinas

Gary Salinas

Beginner2022-05-14Added 13 answers

Given
To find the longest wavelength of the hydrogen Balmer series using the Bohr model of the atom.
In a hydrogen atom, the longest wavelength is emitted in the Balmer series if the electron makes a transition from n = 3 to the n = 2 orbit.
Therefore, n 2 = 3 ,   n 1 = 2
according to the Bohr atomic model for hydrogen,
1 λ = R ( 1 n 1 2 1 n 2 2 ) 1 λ = R ( 1 4 1 9 ) λ = 36 5 × 1.097 × 10 7 = 656.4 × 10 9 m
Longest wavelength is 656.4 nm

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