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If a hydrogen atom has its electron in the n = 4 state, how much energy in eV is needed to ionize it?
0.850 $\mathrm{eV}$
Physics 103
Chapter 30
Atomic Physics
Rutgers, The State University of New Jersey
University of Michigan - Ann Arbor
McMaster University
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So the energy often electron Ah, in, uh, in the end state. Hey, in a hydrogen atom is miners, uh, 13 point seeks over. And where where in indicates number off number off saved. So if it is in the first state, the energy would be roads and in the second state and you would be 13 points, six over for rose. And in the fourth hey, the energy would be seeks over 16. No speech. He's, uh, zero point hey and minus is important here, the energies finding and when, Let's say, um a lectern Weak u l l ick on some extra energy and believes the eight home. So there is no binding energy between out l. A and at eight, um, Dana clothes, huh? And so the total energy, he's, uh, zero ah, in the final state. And in the initial state we gave and elect from some energy held I e toe toe leave thes state lead to spy nding state. And it has initially no the, uh, energy which waas uh, plus in the really t uh, in the number. Yeah, mines. So minus, uh, you so hee l d e minimum energy. He's necessary toe Iron eyes Electron in the force state is 0.85. And the quick comment Why the final energies? Zero. Because we're we're looking for the minimum energy. So he's finding energies, and we can you is much energy as we want, But two consider that L. A. Cockney is separated from the new clothes. It would help at least zero. It could have also more than a zero energy. This wouldn't be the hey where the energy regale minimum requirement. Uh, so why we're looking for minimum energy to satisfy the conditions ionized an electron we considered in your So the answer is
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