Q. 195.0( 4 Votes )

Find the speed of the electron in the ground state of a hydrogen atom. The description of ground state is given in the previous problem.

Answer :


Magnitude of charge on both proton and electron,

The radius of the circular orbit,

Mass of electron ,

The radius of the circular orbit is the distance between the electron and the proton.


Formula used:

By Coulomb’s law, the electric force is given by:

Where ϵ0 is the permittivity of free space

q1 and q2 are the magnitude of charges

r is the distance of separation between the charges

(Here, )


The magnitude of electric force is given by:


Formula used:

Centripetal force is given by

Where m is the mass if the object, v is the speed of the object and r is the radius of the circular path.


Let Fc be the centripetal force on the electron.

Now, the electric force acts as centripetal force.


Substituting (1) and rearranging, we get

Putting the values in the above formula, we get

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Superfast Revision of Potential & Potenial Energy (Theory + Interactive Quiz)47 mins
Check your knowledge of Electric Potential | Quiz45 mins
Relation between electric field and potential34 mins
Relation between Electric field & Potential45 mins
Interactive quiz on Relation between electric field and potential43 mins
Electric field inside cavity37 mins
Few Applications of Gauss's law54 mins
Test Your Knowledge of Electric Charge & Coulomb's Law47 mins
Electric potential inside solid and hollow sphere30 mins
Electric Field Lecture47 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses