Q. 59

Expert-verifiedFound in: Page 656

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

In a classical model of the hydrogen atom, the electron orbits the proton in a circular orbit of radius. What is the orbital frequency? The proton is so much more massive than the electron that you can assume the proton is at rest.

The orbital frequency is

__Given__ :

The electron orbits the proton in an orbit of radius :

The proton is so much more massive than the electron that we can assume the proton is at rest.

__Theory used__ :

Orbital frequency is calculated using the formula :

The electron receives centripetal force from electrostatic force. That is

The electron receives centripetal force from electrostatic force.

Now we can calculate orbital frequency using the following formula:

Replace the values in the relationship and calculate the frequency value:

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