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Consider aimimg a beam of free electrons...

Consider aimimg a beam of free electrons to wards free atoms . When they scatter, an electron and a protons cannot combine be produced a H-atom,

A

Because of energy conservation

B

Without simultaneously releasing energy in the form of radiation

C

Because of momentum conservation

D

Because of angular momentum conservation

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze why a free electron and a free proton cannot combine to form a hydrogen atom when a beam of free electrons is aimed at free atoms. ### Step-by-Step Solution: 1. **Understanding the Interaction**: - When a beam of free electrons is directed toward free protons (which are essentially hydrogen nuclei), we need to consider the fundamental interactions that occur during scattering. 2. **Energy Conservation**: - For an electron and a proton to combine to form a hydrogen atom, energy must be conserved. The binding energy of a hydrogen atom is about 13.6 eV. If the incoming electron does not have enough energy to overcome this binding energy, it cannot combine with the proton. 3. **Radiation Emission**: - When an electron approaches a proton, it may need to release energy in the form of radiation (photons) to allow for the formation of a bound state (hydrogen atom). If this process does not occur simultaneously, the electron and proton will not combine. 4. **Momentum Conservation**: - The conservation of momentum states that the total momentum before and after an interaction must remain constant. However, this does not directly prevent the combination of an electron and a proton. 5. **Angular Momentum Conservation**: - Similar to momentum conservation, angular momentum conservation does not inherently prevent the combination of an electron and a proton. 6. **Conclusion**: - The correct reasons why an electron and a proton cannot combine to form a hydrogen atom in this scenario are due to energy conservation and the requirement of simultaneous energy release in the form of radiation. Therefore, the answer is that the combination cannot occur due to energy conservation and the lack of simultaneous energy release. ### Final Answer: The correct options are: - Energy conservation (Option 1) - Not simultaneously releasing energy in the form of radiation (Option 2)

To solve the question, we need to analyze why a free electron and a free proton cannot combine to form a hydrogen atom when a beam of free electrons is aimed at free atoms. ### Step-by-Step Solution: 1. **Understanding the Interaction**: - When a beam of free electrons is directed toward free protons (which are essentially hydrogen nuclei), we need to consider the fundamental interactions that occur during scattering. 2. **Energy Conservation**: ...
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