Bohr's model of hydrogen like atoms question.

In summary: This is what ehild is trying to get you to figure out. How can the atom "store" energy so that the collision ends up being inelastic?As the title says Bohr Model, the problem has to be connected to the Bohr Model of electron orbitals and energy...
  • #1
vkash
318
1

Homework Statement



A neutron moving with speed v makes head on collision with a hydrogen atom in ground state kept at rest. Find the minimum Kinetic energy of the neutron for which inelastic(completely of partially) collision may take. (mass of neutron=mass of hydrogen=~1.67*10-27)

Homework Equations



Bohr's model of hydrogen atom.

The Attempt at a Solution


I didn't know even how to proceed??
can u please help.
 
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  • #2
Hi vkash,

How can be the collision between neutron and hydrogen atom inelastic? what happens to the KE of the neutron?

ehild
 
  • #3
ehild said:
Hi vkash,

How can be the collision between neutron and hydrogen atom inelastic? what happens to the KE of the neutron?

ehild

I think according to question collision is similar as it happen when bullet is fired on a block after firing block and bullet move together. Here it might attack on hydrogen atom to form deuterium??
See attachment for it's solution. I want to understand what happened in the solution??
Little bad quality. But try to manage.
 

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  • #4
Can you imagine some other reaction during collision than making a deuteron? Think of the electron of the hydrogen atom. By the way, the problem says that the hydrogen atom is kept in rest.

ehild
 
  • #5
ehild said:
Can you imagine some other reaction during collision than making a deuteron? Think of the electron of the hydrogen atom. By the way, the problem says that the hydrogen atom is kept in rest.

ehild

Doesn't got the point.
Electron can neither attract neutron nor repel so how can i calculate the work.
I think any velocity can do inelastic collision. How velocity can tell us that either collision is elastic or inelastic?
 
  • #6
The neutron can kick out the electron from its ground level and rise to a next one.

ehild
 
  • #7
vkash said:
Doesn't got the point.
Electron can neither attract neutron nor repel so how can i calculate the work.
I think any velocity can do inelastic collision. How velocity can tell us that either collision is elastic or inelastic?
Consider why momentum is always conserved but kinetic energy isn't in a collision. With momentum, there's no way to "hide" it inside the object. If an object of mass m has momentum p, it has to move with speed v=p/m. Energy, however, can be hidden inside the object, for example, by heating it up, so energy gained by an object doesn't have to be in the form of kinetic energy. When some of the initial kinetic energy gets turned into this hidden form, you get an inelastic collision.

This is what ehild is trying to get you to figure out. How can the atom "store" energy so that the collision ends up being inelastic?
 
  • #8
As the title says Bohr Model, the problem has to be connected to the Bohr Model of electron orbitals and energy...

ehild
 
Last edited:

FAQ: Bohr's model of hydrogen like atoms question.

What is Bohr's model of hydrogen like atoms?

Bohr's model is a simplified representation of the structure of hydrogen-like atoms, which have only one electron. It proposes that electrons orbit the nucleus in specific energy levels, and that they can only transition between these levels by emitting or absorbing energy.

What is the significance of Bohr's model?

Bohr's model helped to explain the spectral lines observed in the emission and absorption spectra of hydrogen-like atoms. It also introduced the concept of discrete energy levels and quantized energy, which was a major breakthrough in understanding the behavior of electrons.

What are the limitations of Bohr's model?

Bohr's model only applies to hydrogen-like atoms with one electron. It does not accurately predict the behavior of atoms with more than one electron, as it does not take into account the repulsion between these electrons. It also does not explain the fine details of spectral lines.

How does Bohr's model explain the stability of atoms?

According to Bohr's model, electrons occupy specific energy levels and do not lose energy as they orbit the nucleus. This results in a stable configuration for the atom, as the electrons do not spiral into the nucleus. Additionally, the model proposes that electrons can only exist in specific energy levels and cannot occupy the space in between, providing further stability.

What are the similarities between Bohr's model and the modern atomic model?

Both models propose that electrons occupy specific energy levels and can transition between them by emitting or absorbing energy. They also both agree that the nucleus contains protons and neutrons, and that the majority of an atom's mass is located in the nucleus. However, the modern atomic model includes more complex concepts such as electron clouds and probability distributions.

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