Muon ( μ^- ) is a negatively charged (| q |=| e |) particle with a mass m_μ=200 m_e, where m_e is the mass of the electron and e is the electronic…

Muon ( $\displaystyle \mu^{-}$) is a negatively charged $\displaystyle (|\mathrm{q}|=|\mathrm{e}|)$ particle with a mass $\displaystyle \mathrm{m}_\mu=200 \mathrm{~m}_{\mathrm{e}}$, where $\displaystyle \mathrm{m}_{\mathrm{e}}$ is the mass of the electron and e is the electronic charge. If $\displaystyle \mu^{-}$is bound to a proton to form a hydrogen like atom, identify the correct statements.

Radius of the muonic orbit is $\displaystyle 200$ times smaller than that of the electron.

The speed of the $\displaystyle \mu^{-}$in the $\displaystyle \mathrm{n}^{\text {th }}$ orbit is $\displaystyle \frac{1}{200}$ times that of the electron in the $\displaystyle \mathrm{n}^{\text {th }}$ orbit.

The ionization energy of muonic atom is $\displaystyle 200$ times more than that of an hydrogen atom.

The momentum of the muon in the $\displaystyle \mathrm{n}^{\text {th }}$ orbit is $\displaystyle 200$ times more than that of the electron.