Revolutions in a Bohr Model

In summary, the conversation discusses how to calculate the number of revolutions an electron will make in the first excited state of hydrogen with a lifetime of 10^-8 seconds, according to the Bohr theory. One method mentioned is finding the speed of the electron and using it to determine the distance of one revolution. Another method is finding the period of the first orbit and using it with 10^-8 seconds. The correct velocity to use for the first orbit is v_I = alpha * c, where alpha is the fine structure constant.
  • #1
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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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  • #2
Find the period for the first orbit and then use [itex]10^{-8}s [/itex] and the following reasoning

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

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

Daniel.
 
Last edited:
  • #3
Right. When finding the period do I take velocity to be the speed of light?
 
  • #4
No,the velocity on the first orbit

[tex] v_{I}=\alpha c [/tex]

,where [itex] \alpha [/itex] is the fine structure constant...

Daniel.
 

1. What is the Bohr Model and how does it relate to revolutions?

The Bohr Model is a simplified representation of an atom proposed by Danish physicist Niels Bohr in 1913. It depicts electrons orbiting the nucleus in specific energy levels, or shells, and each revolution of an electron around the nucleus is referred to as a "revolution" in the model.

2. How did the Bohr Model revolutionize our understanding of atoms?

The Bohr Model was revolutionary because it provided a more accurate picture of the atom compared to previous models. It explained the stability of atoms and the discrete energy levels of electrons, and it paved the way for further developments in quantum mechanics.

3. Are there any limitations to the Bohr Model of the atom?

Yes, the Bohr Model does have some limitations. It does not fully explain the behavior of electrons in more complex atoms and it does not account for the concept of electron spin. It also does not account for the wave-like nature of electrons.

4. How did the Bohr Model lead to the development of the quantum mechanical model?

The Bohr Model played a crucial role in the development of the quantum mechanical model. It provided the foundation for understanding the quantization of energy levels and the concept of electron shells. However, as more evidence and research emerged, it became clear that the Bohr Model was not complete and needed to be expanded upon, leading to the development of the quantum mechanical model.

5. How does the Bohr Model impact our everyday lives?

The Bohr Model and the understanding of atomic structure that it provided has had a major impact on our lives. It has allowed for advancements in fields such as chemistry, medicine, and technology. Without the Bohr Model, we would not have the same understanding of the fundamental building blocks of matter and how they interact with each other.

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