In the Bohr model of the $H$-atom,the kinetic energy of an electron in any orbit depends on the principal quantum number $n$ as:

  • A
    $K \propto \frac{1}{n^2}$
  • B
    $K \propto n^2$
  • C
    $K \propto \frac{1}{n^4}$
  • D
    $K$ does not depend on $n$

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The radius of the first permitted Bohr orbit for the electron in a hydrogen atom equals $0.53 \mathring{A}$ and its ground state energy equals $-13.6 \; eV$. If the electron in the hydrogen atom is replaced by a muon $(\mu^{-})$ [charge same as electron and mass $207 m_{e}$], the first Bohr radius and ground state energy will be:

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