Question

Consider the Bohr Model of the hydrogen atom. If an electron in a hydrogen atom was in the n=3 state, calculate the energy of this electron.

If the electron makes a transition to the n=8 excited state, the electron energy would change. Calculate the change in energy needed for an electron to make this change.

Answer 1

Solution:

a) Energy of an electron in n^th state is,

E_n = - 13.6 eV/n²

E₃ = - 13.6 eV/3²

= - 1.511 eV

b) Similarly,

Energy of an electron in n^th state is,

E_n = - 13.6 eV/n²

E₈ = - 13.6 eV/8²

= - 0.2125 eV

The change in energy is ,

E = E₈ - E₃

= -0.2125 - (-1.511)

= 1.2986111eV

= 1.3 eV.

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