Use Bohr’s postulates to derive the expressions for the potential and kinetic energy of the electron moving in the nth orbit of the hydrogen atom. How is the total energy of the electron expressed in terms of its kinetic and potential energies?
If the electron moves on a circular path of the radius r with speed V as shown in the figure
From Bohr's postulate
From equations (1) and (2)
Kinetic Energy
,
Potential Energy,
Referrring to equation (1)
Total energy
Total Energy
Total energy = - (kinetic energy)
Potential energy= 2(total energy)