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?

Atoms

Solution:

According to Bohr theory of hydrogen atom
$r ∝ n_{2}$
$\upsilon ∝ \frac{1}{n}$
$E \propto \frac{1}{n^{2}} \quad\therefore \quad\upsilon r ∝ n$