In a hypothetical system , a partical of mass `m` and charge `-3 q` is moving around a very heavy partical chaRGE `q`. Assume that Bohr's model is applicable to this system , then velocuity of mass `m` in the first orbit is

Options

A. `(3q^2)/(2 in_0 h)`
B. `(3q^2)/(4 in_0 h)`
C. `(3q)/(2 pi in_0 h)`
D. `(3q)/(4pi epsilon_0 h)`

Answer

A

Explanation

`(mv^2)/( r) =(1)/(4pi in_0) (3q^2)/( r^2) , mvr =(nh)/(2pi)`.
Using above equations, putting `n=1,v=(3q^2)/(2 in_0 h)` .