Show that the energy of an electron in orbit around the nucleus is

Solution to TTs270912_42677_1
In Bohr’s model, an electron rotates around the nucleus in a circular
o
it. If Z is the atomic number and e is the charge of an electron/proton,
the nucleus has positive charge Ze.
Let us assume that the mass of an electron is m, moving with a velocity
of v in an o
it of radius r
Then centrifugal force of electron Fc = mv
2

The electrostatic force of attraction between the nucleus and the o
ital
electron, Fe = (Ze).e
2
= Ze
2
2

For a stable...