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Problem

A hydrogen atom in an excited state can be ionize…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71

Problem 11 Easy Difficulty

If a hydrogen atom has its electron in the n = 4 state, how much energy in eV is needed to ionize it?

Answer

0.850 $\mathrm{eV}$

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Physics 103

College Physics for AP® Courses

Chapter 30

Atomic Physics

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Atomic Physics

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Video Transcript

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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