An electron with kinetic energy 5 eV is incident on a H-atom in its gr...
Introduction:
In this scenario, an electron with kinetic energy of 5 eV is incident on a hydrogen atom in its ground state. We need to determine whether the collision between the electron and the hydrogen atom is elastic, partially elastic, completely elastic, or completely inelastic.
Elastic Collision:
An elastic collision is a collision in which both momentum and kinetic energy are conserved. In an elastic collision, the total kinetic energy before the collision is equal to the total kinetic energy after the collision.
Inelastic Collision:
An inelastic collision is a collision in which kinetic energy is not conserved. In an inelastic collision, the total kinetic energy after the collision is less than the total kinetic energy before the collision. Some of the kinetic energy is converted into other forms of energy, such as heat or potential energy.
Analysis:
To determine the nature of the collision between the electron and the hydrogen atom, we need to compare the kinetic energy before and after the collision.
1. Elastic collision:
For an elastic collision, the total kinetic energy before the collision must be equal to the total kinetic energy after the collision. In this case, the electron has a kinetic energy of 5 eV, and the hydrogen atom is initially in its ground state. The ground state of a hydrogen atom has a total energy of -13.6 eV. Therefore, the total kinetic energy before the collision is 5 eV.
To determine the total kinetic energy after the collision, we need to consider the energy levels of the hydrogen atom. If the electron transfers energy to the hydrogen atom and moves to a higher energy level, the collision would not be elastic.
2. Partially elastic collision:
In a partially elastic collision, the total kinetic energy after the collision is less than the total kinetic energy before the collision. If the electron transfers some energy to the hydrogen atom but not enough to move to a higher energy level, the collision would be partially elastic.
3. Completely elastic collision:
If the electron does not transfer any energy to the hydrogen atom and remains at the same energy level after the collision, the collision would be completely elastic.
4. Completely inelastic collision:
If the electron transfers all of its energy to the hydrogen atom, causing the hydrogen atom to move to a higher energy level or ionize, the collision would be completely inelastic.
Conclusion:
To determine the nature of the collision between the electron and the hydrogen atom, we need to know the specific energy levels involved and the probability of energy transfer. Without this information, it is difficult to definitively determine the nature of the collision. However, based on the given information, it is most likely that the collision is either partially elastic or completely inelastic, as the electron is likely to transfer some energy to the hydrogen atom.
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