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  4. A hydrogen atom in ground state absorbs 12.1 eV energy. The orbital angular momentum of electron is increased by:

Q. A hydrogen atom in ground state absorbs $12.1\, eV$ energy. The orbital angular momentum of electron is increased by:

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Solution:

$12.1\, eV$ is the difference in energies of $n=1$ and $n=3$ for hydrogen atom so the electron is excited to $n=3$ state hence the angular momentum will become $3 h / 2 \pi$ from $h / 2 \pi$ hence the increase in angular momentum is given in option (B).

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2. Muon $ (\mu^{-})$ is a negatively charged $(|q | = |e|$ particle with a mass $m_{\mu} = 200$ me, where me is the mass of the electron and e is the electronic charge. If $\mu$- is bound to a proton to form a hydrogen like atom, identify the correct statements.
(A) Radius of the muonic orbit is $200$ times smaller than that of the electron.
(B) The speed of the $\mu^{-}$ in the $n^{th}$ orbit is $\frac{1}{200}$ times that of the electron in the $n^{th}$ orbit.
(C) The ionization energy of muonic atom is $200$ times more than that of an hydrogen atom.
(D) The momentum of the muon in the $n^{th}$ orbit is $200 $ times more than that of the electron.

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