The visible emission spectrum from a hydrogen atom shows four bright lines: a red line

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Problem

The visible emission spectrum from a hydrogen atom shows four bright lines: a red line, a turquoise line, a blue line and a violet line. (a) These four lines correspond to transitions between which pairs of energy levels? (b) The red line in the emission spectrum of hydrogen is called the hydrogen alpha line. Its wavelength is 656.3 nm656.3\ \text{nm}. Show that photons of this wavelength have an energy of 1.9 eV1.9\ \text{eV}. (c) Which colour emission line is caused by the transition from n=4n = 4 to n=2n = 2, a change in energy of 2.55 eV2.55\ \text{eV}?

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