Bohr S Model Of Hydrogen Atom

To determine the ratio of the energy levels of an electron in different states of a hydrogen atom according to Bohr’s model, we start by understanding how the energy of an electron in a given state is defined. According to Bohr's model, the energy of an electron in the orbit is given by the formula:

where is the energy in electron volts (eV) and is the principal quantum number corresponding to the orbit.

We need to find the energies for the first excited state and for the second excited state of the hydrogen atom.
For the first excited state, :

For the second excited state, :

The absolute value of these energies is used to find the ratio since energy values are negative due to the nature of bound states.

The ratio is:

Thus, the ratio of the energies is: