Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 5 to the level n = 2.

Question

Deja Pruitt

Chemistry

28 March, 17:47

Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 5 to the level n = 2.

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Phillip James · Answer 1

Where R = Rydberg constant = 1.09737316 * 10^7 m-1

nf = 1 and ni = 6

1 / λ = (1.09737316 * 10^7 m^-1) * (1/1^2 - 1/6^2) = 10668905.7 m^-1

So the wave length is λ = 1 / (10668905.7 m^-1) * (10^9 nm / 1 m) = 93.7 nm