Collision between electron and H atom

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SUMMARY

The discussion centers on the collision between an electron with a kinetic energy of 5 eV and a hydrogen atom in its ground state. The ground state energy of the hydrogen atom is -13.6 eV, while the first excited state is at 3.4 eV, resulting in a transition energy of 10.2 eV. Since the kinetic energy of the incident electron is less than the energy required to excite the hydrogen atom, the collision must be elastic. Therefore, the correct answer is that the collision must be elastic.

PREREQUISITES
  • Understanding of kinetic energy and its conservation
  • Knowledge of atomic energy levels, specifically for hydrogen
  • Familiarity with elastic and inelastic collisions
  • Basic principles of quantum mechanics
NEXT STEPS
  • Study the principles of elastic and inelastic collisions in quantum mechanics
  • Explore the energy levels of hydrogen and other atoms
  • Learn about the conservation of energy in particle collisions
  • Investigate the implications of electron transitions in atomic physics
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This discussion is beneficial for physics students, educators, and anyone interested in atomic interactions and collision theory in quantum mechanics.

utkarshakash
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Homework Statement


An electron with KE 5eV is incident on a H atom in its ground state. The collision
A)must be elastic
b)may be partially elastic
c)must be completely inelastic
d)may be completely inelastic

More than one option may be correct

Homework Equations



The Attempt at a Solution


In ground state energy of H atom is -13.6eV. Now the question remains if an electron collides does its KE remains conserved?
 
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The energy of the first excited state of the hydrogen is 3.4 eV so the difference becomes 10.2 eV which is larger than 5eV so the collision must be elastic.
 

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