One electron is made to revolve around a pro ton and it possesses the least possible energy and another electron is made to revolve around an alpha-particle with the same energy. Calculate the ratio of the distances of the electrons from the respective species

One electron is made to revolve around a pro ton and it possesses the

1.	One electron is made to revolve around a pro ton and it possesses the least possible energy and another electron is made to revolve around an alpha-particle with the same energy. Calculate the ratio of the distances of the electrons from the respective species
Answer» Solution :Revolution of an electron AROUND a proton at the closest distance IMPLIES that it is a hydrogen ATOM in its ground state. Similarly, the other particle is `He^+`. The energy of the electron revolving around the nucleus of `He^+` should be -K. `therefore-k=(-kz^2)/(n^2)` `therefore n^2=4[thereforeZ=2]` `thereforen=2` The ratio of radii of the FIRST orbit of hydrogen to the second orbit of `He^+=(kxx1^2)/((kxx2^2)/2)=1:2`