The electric current I created by the electron in the ground state of H atom bohr model in terms of bohr radius `(a_0)` and velocity of electron in first orbit `v_0` is

Options

A. `(ev_0)/(2pia_0)`
B. `(2pia)/(ev_0)`
C. `(2pia)/(v_0)`
D. `(v_0)/(2pia)`

Answer

A

Explanation

In the ground state of hydrogen atom, suppose, `a_0=` bohr radius
`v_0=` velocity of electron in first orbit
`therefore` time taken by electron to complete one revolution, `T=(2pia_0)/(v_0)`
`therefore` current created, `I=("charge"(e))/("time"(T))=(ev_0)/(2pia_0)`