If an electron is moving


If an electron is moving in the $\mathrm{n}^{\text {th }}$ orbit of the hydrogen atom, then its velocity $\left(v_{n}\right)$ for the $n^{\text {th }}$ orbit is given as :

  1. $v_{n} \propto n$

  2. $\mathrm{v}_{\mathrm{n}} \propto \frac{1}{\mathrm{n}}$

  3. $v_{n} \propto n^{2}$

  4. $v_{n} \propto \frac{1}{n^{2}}$

Correct Option: , 2


We know velocity of electron in $n^{\text {th }}$ shell of hydrogen atom is given by

$\mathrm{v}=\frac{2 \pi k Z \mathrm{e}^{2}}{\mathrm{nh}}$

$\therefore \mathrm{v} \propto \frac{1}{\mathrm{n}}$

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