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Imagine an atom made up of a proton and ...

Imagine an atom made up of a proton and a hypothetical particle of double the mass of the electron but having the same charge as the electron . Apply the Bohr atom model and consider all possible transitions of this hypothetical particle that will be emitted level . The longest wavelength photon that will be emitted has longest wavelength `lambda` (given in terms of the Rydberg constant `R` for the hydrogen atom) equal to

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To solve the problem, we will apply the Bohr model of the atom to find the longest wavelength photon emitted by a hypothetical atom consisting of a proton and a particle with double the mass of an electron but with the same charge as an electron. ### Step-by-step Solution: 1. **Understanding the System**: - We have a proton and a hypothetical particle (let's call it "X") with mass \( m_X = 2m_e \) (where \( m_e \) is the mass of the electron) and charge \( q_X = -e \) (same as the electron). - The system behaves similarly to the hydrogen atom but with a different mass for the orbiting particle. ...
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