13. Consider the hydrogen atom to be a proton embedded in
a cavity of radius a, (Bohr's radius) whose charge is
neutralised by the addition of an electron to the cavity in
vacuum, infinitely slowly. Estimate the average total energy
of an electron in its ground state in a hydrogen atom as the
work done in the above neutralisation process. Also, if the
magnitude of the average kinetic energy is half the
magnitude of the average potential energy, find the average
potential energy
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