Using Rutherford model of atom, derive an expression for the total energy of an electron in hydrogen atom.

Using Rautherfold model of the atom, derive the expression for the total electron in hydrogen atom. What is the significance of total negative energy possedssed by the electron? Using Bohr's postulates of the atomic model, derive the expression for radius of n^(th) electron orbit. Hence obtain the expression for Bohr's radius This therory developed is applicable to Hydrogen atoms and ions having just one electron. Let us assume that the nucleus has a positive charge Ze (i.e. ther are Z protons in it) and electrons moves with a consant speed V along a circle of radius r with the centre at nucleus By Coulomb's law

The value of the total energy of an electron in the hydrogen atom is given by

The total energy of an electron in 4th orbit of hydrogen atom is

State Bohr's postulates. Using these postulates, derive an expression for total energy of an electron in the n^("th") orbit of an atom. What does negative of this energy signify ?

Rutherford Atomic Model

The ratio of kinetic energy to the total energy of an electron in a Bohr orbit of the hydrogen atom, is