How Many Revolutions Does an Electron Make in Hydrogen's First Excited State?

AI Thread Summary
The discussion centers on calculating the number of revolutions an electron makes in hydrogen's first excited state, given a lifetime of 10^-8 seconds. Participants suggest using the Bohr model to determine the electron's speed and the distance of one revolution. The correct approach involves calculating the velocity of the electron in the first orbit, which is not the speed of light but rather a fraction of it defined by the fine structure constant. The period of one revolution is then used to find how many revolutions occur in the specified time. This method provides a clear pathway to understanding electron behavior in quantum states.
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According to the Bohr theory, how many revolutions will an electron make in the first excited state of hydrogen if the lifetime in that state is 10^-8?

Basically do I find the speed of the that the electron moves in this excited state then get the distance that a revolution is and divide it by the time?
 
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Find the period for the first orbit and then use 10^{-8}s and the following reasoning

1 revolution---------------------------->T

x revolutions---------------------------->10^{-8}s

Daniel.
 
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Right. When finding the period do I take velocity to be the speed of light?
 
No,the velocity on the first orbit

v_{I}=\alpha c

,where \alpha is the fine structure constant...

Daniel.
 
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