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Two atom bound state (MC)

Page history last edited by Joe Redish 4 years, 5 months ago

6.4.P9;

 

 

Two atoms interact with a potential energy between them that varies as a function of their separation as shown in the graph at the right. We take the zero of energy to be when they are very far apart and at rest.

 

A. When we first meet these atoms, they have a total energy E1 as shown on the figure. Which of the following statements are true about them?

 

  1. They are in a bound state.
  2. If the molecule made up of these two atoms is at rest, each atom has 0 kinetic energy.
  3. The total energy of the molecule is positive.
  4. The total energy of the molecule is negative.
  5. The total energy of the molecule is zero. 
  

 

B. While wandering around their environment, the molecule collides with another (fast moving) molecule and winds up being shifted to the state with a total energy E2 as shown on the figure. Which of the following statements are now true about these atoms?

  1. They are no longer in a bound state.
  2. They are more tightly bound than they were before.
  3. There are less tightly bound than they were before.
  4. Their binding energy has not changed.

 

C. What can you say about the average separation between the two atoms when they are in the states shown on the diagram?

  1. In both states, the separation between the atoms remains fixed.
  2. When the atoms in the molecule have an energy E1 the atoms are on the average closer together than when they have an energy E2.
  3. When the atoms in the molecule have an energy E2 the atoms are on the average closer together than when they have an energy E1.
  4. The atoms change their position more when they are in the state E1 than when they are in the state E2.
  5. The atoms change their position more when they are in the state E2 than when they are in the state E1.

 

D. If the atoms were in the state labeled E1, which of the statements below are true?

  1. To pull them apart, you would have to put in an energy E1.
  2. To pull them apart, you would have to put in an energy -E1.
  3. By pulling them apart, you would gain an energy E1 that you could use elsewhere.
  4. By pulling them apart, you would gain an energy -E1 that you could use elsewhere.

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