1. Tardigrade
  2. Question
  3. Physics
  4. Which of the following curves may represent the energy of electron in hydrogen atom as a function of principal quantum number n:

Q. Which of the following curves may represent the energy of electron in hydrogen atom as a function of principal quantum number $n$:

Atoms Report Error

Solution:

As the total energy of electron in hydrogen atom is given as
$E_{n}=-\frac{1}{2} \frac{K Z e^{2}}{r_{n}}$

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5. 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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image

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