Question

Is binding energy equal to ground sate energy in hydrogen atom?

Answer 1

That 13.6eV is the difference in the energy of a bound electron as compared to an electron at rest far from the proton. So it is an energy difference. We don't include the rest mass because that's a constant so it's the same for both the bound and free electron. When we take the difference in the energies the rest mass cancels out.

You may be interested to know the mass of a hydrogen atom is actually less than the mass of an isolated proton + the mass of an isolated electron. The difference in the mass is 13.6eV. That's because to make a hydrogen atom we have to start with an isolated proton and an isolated electron then remove 13.6eV to make them stick together

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Answer 2

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