# Electrons bound to the nucleus/ Bohr hypothosis

• Jason Gomez
In summary, the conversation discusses the relationship between the Coulomb force and the centripetal force in an electron's orbit around the nucleus in a hydrogen atom. It also mentions the quantization of angular momentum in the Bohr hypothesis and how this leads to the quantization of orbital radius. The value of aB is also mentioned, which is used in the equation for quantized orbital radius. The person asking the question apologizes for not following the rules on posting homework questions and asks for help on where to go for assistance.
Jason Gomez
Question:
If we assume that an electron is bound to the nucleus (assume a H atom) in a circular orbit, then the Coulomb force is equal to the centripetal force:
mv^2/r= ke^2/r^2
In the Bohr hypothesis, angular momentum, L = mvr is quantized as integer multiples of (h-bar): L = n(h-bar). Show that if this is true, orbital radius is also quantized: r = n^2aB.
aB = (hbar)^2/(ke^2m(electron))

First: This isn't the right place to post your homework questions.
Second: You're not following the rules on homework questions either.

sorry this is my first time on, where do I go for help on HW and the rules

## 1. What is the Bohr hypothesis?

The Bohr hypothesis, also known as the Bohr model, is a theory proposed by Niels Bohr in 1913 to explain the structure of atoms. It suggests that electrons orbit the nucleus in fixed energy levels, and can jump between these levels by absorbing or emitting energy.

## 2. How are electrons bound to the nucleus?

Electrons are bound to the nucleus by electromagnetic force. This force is created by the attraction between the positively charged protons in the nucleus and the negatively charged electrons. The strength of this force depends on the distance between the electron and the nucleus.

## 3. What are energy levels in an atom?

Energy levels in an atom refer to the specific regions around the nucleus where electrons can exist. These energy levels are represented by numbers, with the lowest level being the ground state and higher levels being excited states. Electrons can only exist in these discrete energy levels, and not in the space between them.

## 4. How does the Bohr hypothesis explain the stability of atoms?

The Bohr hypothesis explains the stability of atoms by proposing that electrons occupy specific energy levels, and do not spiral into the nucleus. This is because electrons are only allowed to exist in discrete energy levels, and cannot occupy the space between them. This prevents them from losing energy and falling into the nucleus, resulting in the stability of atoms.

## 5.What evidence supports the Bohr hypothesis?

There is a significant amount of evidence that supports the Bohr hypothesis. This includes the observation of atomic spectra, which are unique patterns of light emitted by atoms when electrons jump between energy levels. Additionally, experiments such as the Franck-Hertz experiment have confirmed the existence of discrete energy levels in atoms.

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