If an electron is moving in the n text th orbit of the hydrogen atom, then its velocity (vn) for the n text th orbit is given as:

Question

If an electron is moving in the n text th orbit of the hydrogen atom, then its velocity (vn) for the n text th orbit is given as: (A) v n propto n (B) v n propto (1/ n ) (C) v n propto n 2 (D) v n propto (1/ n 2)

Tardigrade Admin · Accepted Answer

We know velocity of electron in n text th shell of hydrogen atom is given by v =(2 π k Ze 2/ nh ) ∴ v propto (1/ n )

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

$v_{n} \propto n$

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

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

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

We know velocity of electron in $n^{th}$ shell of hydrogen atom is given by
$v = \frac{2 πk Z e ^{2}}{nh}$
$∴ v \propto \frac{1}{n}$

Q. If an electron is moving in the nth orbit of the hydrogen atom, then its velocity (vn​) for the nth orbit is given as:

vn​∝n

vn​∝n1​

vn​∝n2

vn​∝n21​