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Imagine that the electron in a hydrogen atom is replaced by a muon (μ). The mass of muon particle is 207 times that of an electron. The ionization potential of this hydrogen atom will be:-

1. 13.6 eV
2. 2815.2 eV
3. 331.2 eV
4. 27.2 eV

Correct answer: 2815.2 eV

Solution

For a muonic hydrogen atom the ionization energy = 13.6 eV times the mass ratio = 13.6 x 207 = 2815.2 eV (the muon is ~207 times heavier, and energy is proportional to mass).

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