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Bohr Model of the Hydrogen atom.

Question

Let the potential energy of Hydrogen atom in the ground state be zero. Then its orbital energy in the first excited state will be

Difficult
Solution

Total energy in the ground state is

E = PE(U) + KE(K) = 0 + 13.6 eV = 13.6 eV 

Energy required to shift to first excited state is 

E2E1=ΔE=13.62213.6eV=10.2  eV
Total energy in the first excited state

  = (13.6 + 10.2) eV = 23.8 eV 



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Find the potential energy of electron in first excited state if in the nth state, energy of electron in hydrogen atom is -13.6 eVn2


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