If a proton had a radius R and the charge was uniformly distributed, calculate using Bohr theory, the ground state energy of a H – atom when R = 10 Angstrom

For a point nucleus in H-atom:Ground state:2 2201 , – .4 B Bmv emvrr r πε = h =2 22 2 201 1 . 4πε ∴ = + B B   Bemm r r rh2024. rB 0.51Am eπε °∴ = = hPotential energy2 2 22 2 201 1 – . –27.2 ; . . 13.6eV4 B 2 2 B 2 Be mv eV K E mr r m r mr    = = = = = + π h hFor an spherical nucleus of radius R,If R > rB: the electron moves inside the sphere with radiusBr′ ( Br′ = new Bohr radius).Charge inside 343BBrreR ′  ′ =  