The Rydberg constant is given by:

where m e is the mass of the electron, e is the charge of the electron, 𝜖 0 is the permittivity of free space (a Physics constant), h is Planck’s constant and c is the speed of light in a vacuum. The value of the Rydberg constant in our universe is 1.0973 × 10 7 m –1 . The energy of the 1s orbital in hydrogen is –2.18 x 10 –18 J.
The frequency of a spectral transition for a single-electron atom with nuclear charge Z is given by:

"Muonic hydrogen" is the same as regular hydrogen, only the electron has been replaced by a muon which has a mass 207 greater than the electron but has the same charge as the electron.

In regular hydrogen the emission for the n 1 = 3 to n 2 = 2 transition in the Balmer series wavelength of 656.3 nm. In "Muonic Hydrogen,' how would the wavelength for the same transition change compared to regular hydrogen:

Question

The Rydberg constant is given by: 
  
 where  m e  is the mass of the electron, e is the charge of the electron, 𝜖 0  is the permittivity of free space (a Physics constant),  h  is Planck’s constant and c is the speed of light in a vacuum. The value of the Rydberg constant in our universe is 1.0973 × 10 7  m –1 . The energy of the  1s  orbital in hydrogen  is –2.18 x 10 –18  J. 
 The frequency of a spectral transition for a single-electron atom with nuclear charge  Z  is given by: 
  
 "Muonic hydrogen" is the same as regular hydrogen, only the electron has been replaced by a muon which has a mass 207 greater than the electron but has the same charge as the electron. 
 
 In regular hydrogen the emission for the n 1  = 3 to n 2  = 2 transition in the Balmer series wavelength of 656.3 nm. In "Muonic Hydrogen,' how would the wavelength for the same transition change compared to regular hydrogen:

Answer

The wavelength for the transition in "Muonic Hydrogen" would be longer than in regular Hydrogen

Answer

The n 1  = 3 to n 2  = 2 transition would become impossible in "Muonic Hydrogen" where the electron has been replaced by a Muon.

Answer

It is impossible to judge how the transitions would change in "Muonic Hydrogen" compared to regular Hydrogen without measuring the transition experimentally

Answer

The wavelength for the transition in "Muonic Hydrogen" would be shorter than in regular Hydrogen

Answer

The wavelength for the transition in "Muonic Hydrogen" would be identical to that in regular Hydrogen

Crowdly

The Rydberg constant is given by: where m e is the mass of the electron, ...

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