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 :-

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 :- (A) 13.6 eV (B) 2815.2 eV (C) 331.2 eV (D) 27.2 eV

Tardigrade Admin · Accepted Answer

E propto (1/ r ) r propto (1/ m ) E propto m Ionization potential =13.6 × (( Mass μ) eV /( text Mass e )) =13.6 × 207 eV =2815.2 eV

Q. 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 :-

13.6 eV

2815.2 eV

331.2 eV

27.2 eV

$E \propto \frac{1}{r}$ $r \propto \frac{1}{m}$
$E \propto m$
Ionization potential $= 13.6 \times \frac{( M a s s _{μ} ) e V}{( Mass _{e} )}$
$= 13.6 \times 207 e V = 2815.2 e V$

Q. 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 :-