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JEE Main 202118 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
18 March
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2021 · 18 March · Morning Shift · Physics · Atomic Physics

Imagine that the electron in a hydrogen atom is replaced by a muon...

Imagine that the electron in a hydrogen atom is replaced by a muon (μ).\left(\mu\right) . The mass of muon particle is 207207 times that of an electron and charge is equal to the charge of an electron. The ionization potential of this hydrogen atom will be:-

Options

  1. A13.6eV13 . 6eV
  2. B2815.2eV2815 . 2eV
  3. C331.2eV331 . 2eV
  4. D27.2eV27 . 2eV

Correct answer

B. 2815.2eV2815 . 2eV

Step-by-step solution

E∝1r⇒r∝1mE ∝ \dfrac{1}{r} ⇒ r ∝ \dfrac{1}{m}⇒E∝m⇒ E ∝ m. Ionization potential =13.6×(Massμ)eV(Masse)= 13 . 6 \times \dfrac{\left({\text{Mass}}_{\mu}\right)eV}{\left({\text{Mass}}_{e}\right)}
=13.6×207eV=2815.2eV= 13 . 6 \times 207eV = 2815 . 2eV.
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