An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi infinite region of uniform magnetic field perpendicular to the velocity.
Which of the following statement(s) is /are true?

Options

A. They will never come out of the magnetic field region.
B. They will never come out travelling along parallel paths.
C. They will never come out at the same time.
D. They will never come out at different times.

Answer

(b,d)

Explanation

`t_p =(2 thetaxxR_P)/v =(2 thetaxxm_Pv)/(eBv)=(2 theta m_P)/(eB)`

`t_e=((2pi- 2 theta)xxR_e)/v = ((2 pi-2 theta)m_(e)v)/(eBv)=((2pi- 2 theta)m_e)/(eB)`
`t_e!=t_p`