A particle of mass `m` and charge `q` is lying at the origin in a uniform magnetic field `B` directed along x-axis. At time t = 0, it is given a velocity `v_0`, at an angle` theta` with the y-axis in the xy-plane. Find the coordinates of the particle after one revolution.

Options

A. `(0,0,(2pimv_(0)sin theta)/(qB))`
B. `((2pimv_(0)sin theta)/(qB),0,0)`
C. `((2pimv_(0)sin theta)/(qB),0,4)`
D. `(0,0,0)`

Answer

B

Explanation

Pitch `= (T) ( ` Horizontal Velocity )
`=(2pim)/(qB)(V_(0)sint theta)`
So `( x,y,z)` co- ordinates are `{(2pi mv_(0)sintheta)/(qB),0,0}`