Question 198: Atoms & Nuclei

Question

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 :

Accepted Answer

m
m
= 207 m
e
In hydrogen atom one electron present. Now that the electron in hydrogen atom is replaced by a muon ($$\mu$$).
We know, Energy(E) = $$ - {{{e^4}m} \over {8\varepsilon _0^2{n^2}{h^2}}}$$
For electron,
E
e
= $$ - {{{e^4}{m_e}} \over {8\varepsilon _0^2{n^2}{h^2}}}$$ = 13.6 eV
For muon,
E
m
= $$ - {{{e^4}\left( {207} ight){m_e}} \over {8\varepsilon _0^2{n^2}{h^2}}}$$
= 13.6 $$ 	imes $$ 207 = 2815.2 eV

Answer

13.6 eV

Answer

2815.2 eV

Answer

331.2 eV

Answer

27.2 eV

Atoms & Nuclei

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 :

Choose the correct answer: