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Consider the hydrogen atom to be a proto...

Consider the hydrogen atom to be a proton embedded in acavity fo radius ` a_0` (Bohr 's radius ) , whos echarge ius neutralized by the addition of an elerctron to the cavity in vacuum , infinitiely slowly.
(a) Estimate the average of total energy of an elerctron in its ground state in a hydrogen atom as the work done in the above neutralization process , Also , If the halt the magnitude fo the averge potential enrgy find the average potential nergy .
(b) Also derve the wavelength of the elertron when it is ` a_0` from the proton . How does this compare with the wavelength of an elerctron in the ground statBohr's orbit ?

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