Hello, could someone please help me with this physics question. Thank you very m

Question

Hello, could someone please help me with this physics question. Thank you very much in advance.

Suppose the first electron in the He+ ion (singly ionised, hydrogen-like ion) is in the ground (n=1) state, and a second electron is added in the n=10 level.

Explain why the energy of the second electron is almost identical to that of an electron in the same level in hydrogen atom and despite the second electron being in a high energy orbit why there is still an effect on the energy of the first electron. Is the energy increased or decreased? Explain your reasoning.

Explanation / Answer

you got 2 protons instead of 1 - thus it is like H except the potential well is 2x that of H so energy levels are 2x more than H in your 1s1 10s1 case as as far the 10s1 electron is concerned it is way beyond the cloud of the 1s1 - so it sees 2 protons that are almost 100% shielded by 1 electron (the 1s1 one) thus it sees a potential (at n=10) like that of hydrogen. because there is some (real small) probability of 10s1 being in the face of the 1s1 electron the shielding is not always 100% for all radii and the energy level is slightly shifted wrt the H case

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