A particle with charge `q`, moving with a momentum `p`, enters a uniform magnetic field normally. The magnetic field has magnitude `B` and is confined to a region of width `d`, where `dlt(p)/(Bq)`. If the particle is deflected by an angle `theta` in crossing the field then

Options

A. `sintheta=(Bqd)/(p)`
B. `sintheta=(p)/(Bqd)`
C. `sintheta=(Bp)/(qd)`
D. `sintheta=(pd)/(Bq)`

Answer

A

Explanation

From figure it is clear that
`sintheta=(d)/(r )` also `r=(p)/(qB)`
`:. Sintheta=(Bqd)/(p)`