A charged particle moving along +ve x-direction with a velocity v enters a region where there is a uniform magnetic field `B_0(-hat k), from x=0 to x=d.` The particle gets deflected at an angle `theta` from its initial path. The specific charge of the particle is

Options

A. `(Bd)/(vcostheta)`
B. `(vtantheta)/(Bd)`
C. (Bsintheta)/(vd)`
D. `(vsintheta)/(Bd)`

Answer

D

Explanation

`sintheta=d/r=d/((mv/Bq))=q/m=(vsintheta)/(Bd)`