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If we replaced the electron in a hydrogen atom with muon, (mass of a neon is 207 times the mass of an electron) then what will be the energy levels En of this new hydrogen atom in terms of the binding energy E0 (of the ordinary hydrogen), mass of the proton mp and the principal quantum number, n? (mµ = 207 me)
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If we replaced the electron in a hydrogen atom with muon, (mass of a n...
In case the electron is replaced by the muon, we will have to consider the reduced mass of the proton- muon system.
The Rydberg constant is changed by a factor of.
The Rydbergs constant is proportional to the reduced mass of the system in consideration.
R1 = Rydbergs constant for e and p system is proportional to reduced mass of e and p
R2 = Rydbergs constant for µ and p system

∴  New energy levels are 
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Most Upvoted Answer
If we replaced the electron in a hydrogen atom with muon, (mass of a n...
In case the electron is replaced by the muon, we will have to consider the reduced mass of the proton- muon system.
The Rydberg constant is changed by a factor of.
The Rydbergs constant is proportional to the reduced mass of the system in consideration.
R1 = Rydbergs constant for e and p system is proportional to reduced mass of e and p
R2 = Rydbergs constant for µ and p system

∴  New energy levels are 
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If we replaced the electron in a hydrogen atom with muon, (mass of a n...
Please show me the proof of rydbarg constant relation with mass
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If we replaced the electron in a hydrogen atom with muon, (mass of a neon is 207 times the mass of an electron) then what will be the energy levelsEnof this new hydrogen atom in terms of the binding energyE0(of the ordinary hydrogen), mass of the protonmpand the principal quantum number,n? (mµ= 207me)a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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