For a hydrogen atom in the th stationary state:

CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

For a hydrogen atom in the

n

th stationary state: (a) Obtain a general expression for the total energy

E_n

of the electron in the

n

th stationary orbit. (b) Prove that

|E_n|\propto \dfrac{1}{n^{2}}

and state the physical meaning of the negative sign in

E_n

. (c) Calculate the numerical value of

E_3

for hydrogen in electron-volts using the given constants.