The electric current I created by the electron in the ground state of H atom using Bohr model in terms of Bohr radius (a0) and velocity of electron in first orbit v0 is

Question

The electric current I created by the electron in the ground state of H atom using Bohr model in terms of Bohr radius (a0) and velocity of electron in first orbit v0 is (A) (ev0/2π a0) (B) (2π a/ev0) (C) (2π a/v0) (D) (v0/2π a)

Tardigrade Admin · Accepted Answer

In the ground state of hydrogen atom, suppose,

a_{0} =

Bohr radius

v_{0} =

velocity of electron in first orbit

∴

Time taken by electron to complete one revolution,

T = \frac{2 π a _{0}}{v _{0}}

∴

Current created,

I = \frac{charge(e)}{time(t)}

\frac{e v _{0}}{2 π a _{0}}

Q. The electric current $I$ created by the electron in the ground state of $H$ atom using Bohr model in terms of Bohr radius $(a_{0})$ and velocity of electron in first orbit $v_{0}$ is

$\frac{e v _{0}}{2 π a _{0}}$

$\frac{2 πa}{e v _{0}}$

$\frac{2 πa}{v _{0}}$

$\frac{v _{0}}{2 πa}$

In the ground state of hydrogen atom, suppose,
$a_{0} =$ Bohr radius
$v_{0} =$ velocity of electron in first orbit
$∴$ Time taken by electron to complete one revolution,
$T = \frac{2 π a _{0}}{v _{0}}$
$∴$ Current created, $I = \frac{charge(e)}{time(t)}$
$\frac{e v _{0}}{2 π a _{0}}$

Q. The electric current I created by the electron in the ground state of H atom using Bohr model in terms of Bohr radius (a0​) and velocity of electron in first orbit v0​ is

2πa0​ev0​​

ev0​2πa​

v0​2πa​

2πav0​​