If m and e are the mass and charge of the revolving electron in the orbit of radius r for hydrogen atom, the total energy of the revolving electron will be :

Options

A. `(1)/(2) (e^(2))/(r )`
B. `-(e^(2))/(r )`
C. `(me^(2))/(r )`
D. `-(1)/(2) (e^(2))/(r )`

Answer

D

Explanation

Total energy of a revolving electron is the sum of its kinetic and potential energy.
Total energy =K.E. +P.E.
`=(e^(2))/(2r)+(-(e^(2))/(r ))`
`= -(e^(2))/(2r)`