Verified Solution • 2025–26 Session moderate

QJEEM21Ph2238: JEE Main 2021 Physics - Class 12 JEEM21Ph2238 Solution: Imagine that the electron in a hydrogen atom is replaced by a…

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 :

Multiple Choice Options

  • A 13.6 eV
  • B 2815.2 eV
  • C 331.2 eV
  • D 27.2 eV

Step-by-Step Verified Solution

mm = 207 me

In hydrogen atom one electron present. Now that the electron in hydrogen atom is replaced by a muon (μ).

We know, Energy(E) = −e4m8ε02n2h2

For electron,

Ee = −e4me8ε02n2h2 = 13.6 eV

For muon,

Em = −e4(207)me8ε02n2h2

= 13.6 × 207 = 2815.2 eV

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