Embibe Experts Solutions for Chapter: Atomic Physics, Exercise 3: Exercise-3

Statement-$\mathbf{1}$ : The Bohr model of the hydrogen atom does not explain the fine structure of spectral lines.

and
Statement-$\mathbf{2}$: The Bohr model does not take into account the spin of the electron

Statement-$\mathbf{1}$ : The Bohr model of the hydrogen atom does not explain the fine structure of spectral lines.

and
Statement-$\mathbf{2}$: The Bohr model does not take into account the spin of the electron

A hydrogen like atom (atomic number $Z$) is in a higher excited state of quantum number $n.$ This excited atom can make a transition to the first excited state by successively emitting two photons of energies $10.20 \mathrm{eV} \mathrm{and} 17.00 \mathrm{eV}$, respectively. Alternatively, the atom from the same excited state can make a transition to the second excited state by successively emitting two photons of energies $4.25 \mathrm{eV} \mathrm{and} 5.95 \mathrm{eV}$, respectively. Determine the values of $n \mathrm{and} Z.$ (Ionization energy of hydrogen $\mathrm{atom}=13.6 \mathrm{eV}$)