1. Tardigrade
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  3. Physics
  4. In Bohr theory of hydrogen atom, let r, v and E be the radius of orbit, speed of electron and the total energy of the electron respectively, which of the following quantities is proportional to the quantum number n ?

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Q. In Bohr theory of hydrogen atom, let $r, v$ and $E$ be the radius of orbit, speed of electron and the total energy of the electron respectively, which of the following quantities is proportional to the quantum number $n$ ?

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Solution:

Since, $ r \propto n^{2}, v \propto \frac{1}{n}$ and $E \propto \frac{1}{n^{2}}$
$\therefore v r \propto n$