(a) Write expressions for the kinetic energy and electrostatic potential energy of an…

CHEMISTRY · Subjective · ISC · Chemistry · Physics · Electrostatics

Problem

(a) Write expressions for the kinetic energy

K

and electrostatic potential energy

U

of an electron revolving in a circular orbit of radius

r

around a nucleus of charge

+Ze

. (b) Using the relationships that define

r_n

and

v_n

for the electron, derive an expression for the total energy

E_n

of the electron in the

n

th stationary orbit. (c) Evaluate

E_1

for the hydrogen atom (

Z = 1

) and express your answer in electron-volts. (d) Perform a dimensional check on your final expression to verify that it has the dimensions of energy.