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))/(2in_(0)h)`
B. `(3q^(2))/(4in_(0)h)`
C. `(3q)/(4piin_(0)h)`
D. `(3q)/(4piin_(0)h)`

Answer

A

Explanation

`(mv^(2))/r=1/(4piin_(0))(3q^(2))/(r^(2))`,`mvr=(nh)/(2pi)`
using above equation, putting `n=1,v=(3q^(2))/(2in_(0)h)`