Prove that where is velocity of electron in a one electron atom of at

CHEMISTRY · Subjective · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Prove that

u_n = \sqrt{\left(\frac{Ze^2}{mr_n}\right)}

where

u

is velocity of electron in a one electron atom of at. no.

Z

at a distance

r_n

from the nucleus,

m

and

e

are mass and charge of electron.