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Q. 59

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

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

See the step by step solution

Step by Step Solution

Step 1 : Given information and formula 

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

Step 2 : Calculating the frequency value

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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