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When a hydrogen atom is in its seventh excited state, what are the shortest and longest...

When a hydrogen atom is in its seventh excited state, what are the shortest and longest wavelengths (in m) of the photons it can emit?

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Answer #1

Let the minimum wavelength is .

We know the energy of a Hydrogen atom in its seventh excited state is

  

The energy of the photon

  

  

  

the shortest wavelengths of the photons it can emit is 1.4910-14 m.

Let the longest wavelength is .

   

The longest wavelength is 6.35810-14 m.

  

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