Two excited energy levels are separated by the very small energy difference E As atoms in these levels undergo quantum jumps to the ground state, the photons they emit have nearly identical wavelengths a Show that the wavelengths differ by b In the Lyman series of hydrogen, what is the wavelength difference between photons emitted in the n 20 to n 1 transition and photons emitted in the n 21 to n 1 transition

Question: Two excited energy levels are separated by the very small energy difference E. As atoms in these levels undergo quantum jumps to the ground state,

Two excited energy levels are separated by the very small energy difference ΔE. As atoms in these levels undergo quantum jumps to the ground state, the photons they emit have nearly identical wavelengths λ.
a. Show that the wavelengths differ by

Two excited energy levels are separated by the very small energy difference

b. In the Lyman series of hydrogen, what is the wavelength difference between photons emitted in the n = 20 to n = 1 transition and photons emitted in the n = 21 to n = 1 transition?

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