Consider energy level diagram of a hydrogen atom.How will the kinetc energy and potential energy of electron moves from a lower level to a higher level?

Explanation

Kinetic energy of an electron in a hydrogen atom is given by
`K_(n) = (e^(2))/(8 pi epsilon _(0) r_(n)) = (me^(4))/(8 pi epsilon _(0)^(2) n^(2) h^(2))`, where `K_(0) = (me^(4))/(8 pi epsilon _(0)^(2) h^(2))`
Potential energy is given by `U_(n) = (e^(2))/(4 pi epsilon _(0) r_(n)) = (me^(4))/(4 epsilon _(0)^(2) n^(2) h^(2)) = - (2 K_(0))/(n^(2))`
The kinetic energy is always positive and it is inversely propertional to square of `n` . Hence , as the electron is excited to higher states , its kinetic energy decreases
The potential energy is alyays negative for a partical in bound state. The magnitude of potential energy is twice that of kinetic energy. As the electron is raised to higher energy level,`n` increases. The potential energy becomes less negative that means the potential energy actually increases. Potial energy is maximum for `n rarr oo`, which corresponds to infinite sepaeation between nucleus and electron.