In a hydrogen atom, an electron revolves around the nucleus in an orbit of radius r with velocity v, the current corresponding to the revolving electron is

Question

In a hydrogen atom, an electron revolves around the nucleus in an orbit of radius r with velocity v, the current corresponding to the revolving electron is (A) I=(e r/2 π v) (B) I=(e v/2 π) (C) I=(e v/2 π r) (D) I=(e v/π r)

Tardigrade Admin · Accepted Answer

T is the time period of revolution. Let r be the orbital radius of the electron, and v the orbital speed. Then, T=(2 π r/v), I=(2/T) On substituting, we have I=e v / 2 π r.

Q. In a hydrogen atom, an electron revolves around the nucleus in an orbit of radius $r$ with velocity $v$ , the current corresponding to the revolving electron is

$I = \frac{er}{2 π v}$

$I = \frac{e v}{2 π}$

$I = \frac{e v}{2 π r}$

$I = \frac{e v}{π r}$

$T$ is the time period of revolution.
Let $r$ be the orbital radius of the electron, and $v$ the orbital speed. Then,
$T = \frac{2 π r}{v}, I = \frac{2}{T}$
On substituting, we have $I = e v /2 π r$ .

Q. In a hydrogen atom, an electron revolves around the nucleus in an orbit of radius r with velocity v, the current corresponding to the revolving electron is

I=2πver​

I=2πev​

I=2πrev​

I=πrev​