Using Bohr?s postulates, obtain the expression for total energy of the electron in the
n
th orbit of hydrogen atom.
TOTAL ENERGY OF ELECTRON IN nth ORBIT IS THE SUM OF KINETIC ENERGY( DUE TO MOTION OF ELECTRON IN THE ORBIT) AND ELECTROSTATIC POTENTIAL ENERGY ( DUE INTERACTION BETWEEN POSITIVELY CHARGE NUCLEUS AND NEGATIVELY CHARGE ELECTRON)
velocity of electron in nth orbit
radius of nth orbit
TOTAL ENERGY OF ELECTRON IN nth ORBIT
K.E. = = [ using the relation ]
P.E. =
TOTAL ENERGY OF ELECTRON NUCLEUS SYSTEM = .K.E + P.E
= K.E - 2K.E. = - K.E
HENCE THE TOTAL ENERGY OF ELECTRON IN nth ORBIT =
velocity of electron in nth orbit
radius of nth orbit
TOTAL ENERGY OF ELECTRON IN nth ORBIT
K.E. = = [ using the relation ]
P.E. =
TOTAL ENERGY OF ELECTRON NUCLEUS SYSTEM = .K.E + P.E
= K.E - 2K.E. = - K.E
HENCE THE TOTAL ENERGY OF ELECTRON IN nth ORBIT =