wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Derive an expression for the velocity of an electron revolving round the nucleus in the orbit of hydrogen atom.

Open in App
Solution

From Bohr postulate, the centripetal force is provided by the electrostatic force between the nucleus and the electron, i.e.;

mv2r=ze24πϵ0r2= (1)

z atomic number

m mass of electron

r radius of orbit

and mvr=nh2π (2)

Dividing (1) by (2) :

v=(ze24πϵ0)2πnh=ze22ϵ0nh

Thus, velocity of electron in the nth permitted orbit is vn=ze22ϵ0nh


flag
Suggest Corrections
thumbs-up
240
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Matter Waves
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon