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Li2+ ion consists of a point-like nucleus of charge +3e and a single electron whose average...

Li2+ ion consists of a point-like nucleus of charge +3e and a single electron whose average distance from the nucleus is 5 ́ 10-11 m. The electron kinetic energy is, on average, half as large as the electric potential energy of the nucleus-electron system (ignoring signs). a) What is the value of the electric potential, due to the nucleus, at the location of the electron, when the latter is at its average distance from the nucleus? b) What is the electric potential energy (including sign) of the nucleus-electron system when the electron is at its average distance from the nucleus? c) How fast does the electron move when it’s at its average distance from the nucleus? d) How much work is required (of some non-electric external force) to completely remove the electron? e) If the electron were removed, how much work would the electric field do during the removal process?

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