Calculate the wavelength and frequency of the radiation emitted by the electronic transition from the 10th to the 9th excited state of hydrogen.

Question

William Yoder

Physics

8 November, 06:36

Calculate the wavelength and frequency of the radiation emitted by the electronic transition from the 10th to the 9th excited state of hydrogen.

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Amiya Small · Answer 1

Using the formula in theMore Precisely4.2, the energy in the eleventh level is E11 = 13.59843 (1-1/112) eV = 13.48604628 eV, E10 = 13.59843 (1-1/102) eV = 13.4624457 eV. T he difference between these two levels is 0.02360058 eV. Converting to Joules (see #3) we have 3.781x10-21J. Using E = hf, the frequency of this wave can be calculated - we find f = 5.707x1012Hz. In wavelength this is 52,534 nm or 52.5 microns which is in the infrared.