Question

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

• A. $\frac{ev_{0}}{2\pi a_{0}}$
• B. $\frac{2\pi a}{ev_{0}}$
• C. $\frac{2\pi a}{v_{0}}$
• D. $\frac{v_{0}}{2\pi a}$

Answer 1

Answer: (A)

$\frac{ev_{0}}{2\pi a_{0}}$

Answer 2

In the ground state of hydrogen atom, suppose,

$a_{0} =$Bohr radius

$v_{0} =$velocity of electron in first orbit

$\therefore$ time take by electron to complete one revolution

$T = \frac{2\pi a_{0}}{u_{0}}$

$\therefore$ Current created $I = \frac{ch\arg e(e)}{time(T)} = \frac{ev_{0}}{2\pi a_{0}}$