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Problem 40 Easy Difficulty

A photon is emitted when an electron in an excited hydrogen atom drops through energy levels. What is the maximum energy that the photon can have? If this same amount of energy were given to the atom in the ground state, what would happen?

Answer

13.6 eV. The atom would ionize as the electron would gain enough energy to escape from the nucleus.

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Top Physics 103 Educators
Marshall S.

University of Washington

Zachary M.

Hope College

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg

Video Transcript

So for the hydrogen atom that makes more energy that a 4 to 1 released by the hydrogen atom would be when the electron is actually a free electron. A completely free free electron gets captured. Kids bounded to the lowest energy state, which is? He crossed it. And from T highest energy state, it's possible for Hydra Jetta that is 13.6 TV with respect to the ground state. So a photon being meted would have an energy off 13.6 minus zero, just 13.6 TV an hour to If you're gif DS of this cinema of energy, you excited T atom or the electron Tohti, Higher state. And in fact, he after what I o nice, right? And that is because at this higher state, the electron is considered to be free and not bounded from de ETA. And so the hydrogen atom would get ionized and we have enough energy to actually escape the nucleus

National University of Singapore
Top Physics 103 Educators
Marshall S.

University of Washington

Zachary M.

Hope College

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg