Find the velocity of an electron in the ground state of a hydrogen atom.
if electron is revalving around the nucleus in circular orbit
(1/2)*m*v^2=Ze^2/(4*pi*eo*r^2)
=====>
r=Ze^2/(4*pi*eo*m*v^2) .......(1)
and
from the Bohr's quantaization rule,
m*V*r=n*h/2*pi .............(2)
from (1) and (2)
v=z*e^2/(2eo*h*n)
for the hydrozen atom z=1 and for ground state n=1
v=1*e^2/(2eo*h*1)
=(1.6*10^-19)^2/(2*8.854*10^-12*6.626*10^-34)
=0.0218*10^8 m/sec
=2.182*10^6 m/sec
Find the velocity of an electron in the ground state of a hydrogen atom.
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