The bohr theory of the hydrogen atom predicts the energy difference (in j) between the n = 3 and the n = 5 state to be

Solution:

a theory of atomic structure in which the hydrogen atom is assumed to consist of a proton as nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state.

the electron energy level of the hydrogen atom can be written as:

En = - 2.179*10^-18 J / n^2

Thus for n = 3: E3 = - 2.421x10^-19 J

For n = 5: E5 = - 8.72x10^-20 J

Hence the energy difference between the n=3 state & n=5 state is:

2.421x10^-19J - 8.72x10^-20J

= 1.549x10^-19 J