Calculate the velocity (in cm/s) of the electron present in the $3 r d$ orbit of $H$ -atom:

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Solution

$n t h$ orbital speed in Bohr model is given by,
$v_{n} = \frac{e^{2}}{2 ϵ_{0} n h}$ .
Substituting the given values,
$v_{1} = 2.19 \times 10^{8} c m / s$
$v_{n} = \frac{v_{1}}{n}$
$v_{3} = 7.3 \times 10^{7} c m / s$

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