Question:
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 and charge is equal to the charge of an electron. The ionization potential of this hydrogen atom will be :
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 and charge is equal to the charge of an electron. The ionization potential of this hydrogen atom will be :
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Ionization energy depends directly on the reduced mass. Since the muon is much heavier, it orbits closer and is much harder to remove.
Updated On: Jan 21, 2026
- 13.6 eV
- 27.2 eV
- 331.2 eV
- 2815.2 eV
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The Correct Option is D
Solution and Explanation
Step 1: In Bohr's model, Energy $E \propto m$ (mass of the revolving particle).
Step 2: $E_{muon} = \frac{m_\mu}{m_e} E_{electron}$.
Step 3: $E = 207 \times 13.6 \text{ eV} = 2815.2 \text{ eV}$.
Step 2: $E_{muon} = \frac{m_\mu}{m_e} E_{electron}$.
Step 3: $E = 207 \times 13.6 \text{ eV} = 2815.2 \text{ eV}$.
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