How is the linear velocity v of an electron i | vedclass

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Question

(A) The linear velocity $v$ of an electron in the $n^{th}$ orbit of a hydrogen-like atom is given by the formula:$v = \frac{Z e^2}{2 \epsilon_0 n h}$W

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

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(A) The linear velocity $v$ of an electron in the $n^{th}$ orbit of a hydrogen-like atom is given by the formula:$v = \frac{Z e^2}{2 \epsilon_0 n h}$Where $Z$ is the atomic number,$e$ is the charge of the electron,$\epsilon_0$ is the permittivity of free space,$n$ is the principal quantum number,and $h$ is Planck's constant.From this expression,it is clear that all terms except $n$ are constants for a given atom.Therefore,the relationship is $v \propto \frac{1}{n}$.

How is the linear velocity $v$ of an electron in a $Bohr$ orbit related to its principal quantum number $n$?

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