JEE Mains · Physics · STD 12 - 12. atoms
Imagine that the electron in a hydrogen atom is replaced by a muon \((\mu) .\) 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 ............. \(eV\)
- A \(13.6\)
- B \(2815.2\)
- C \(331.2\)
- D \(27.2\)
Answer & Solution
Correct Answer
(B) \(2815.2\)
Step-by-step Solution
Detailed explanation
\(E \propto \frac{1}{ r } \quad r \propto \frac{1}{ m }\) \(E \propto m\) Ionization potential \(=13.6 \times \frac{\left(\text { Mass }_{\mu}\right) eV }{\left(\text { Mass }_{e}\right)}\) \(=13.6 \times 207 eV =2815.2 eV\)
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