Question

calculate the ionization energy of the hydrogen atom using the bohr theory

Answer 1

The energy of an electron in Bohr’s orbit of Hydrogen atom is given by the expression:

En=2π2me4Z2/n2h2(4πϵ0)2=−13.6Z2n2eV
Since Z=1 for hydrogen, the above equation can be further simplified. Now just plug in the required values.

Answer 2

Ionisation energy denoted by Ei, is the minimum amount of energy needed to remove the loosely bound valence electron, of an isolated gaseous atom or molecule. The energy of an electron in Bohr’s orbit of Hydrogen atom is given by expression:

En=2π2me4Z2/n2h2(4πϵ0)2=−13.6Z2n2eV

Since Z=1 for hydrogen, the above equation has to be simplified by putting values in them.