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. `(vcostheta)/(Bd)`
B. `(vtantheta)/(Bd)`
C. `(v)/(Bd)`
D. `(vsintheta)/(Bd)`

Explanation

`sin theta=(d)/(R )`
`d=R sin theta=(mv)/(qB)sintheta`
`rArr (q)/(m)=(v sintheta)/(Bd)`