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### IIT-JEE 2011 Paper 1 Offline

MCQ (More than One Correct Answer)

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?

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

## Explanation

$$r = {{mv} \over {Bq}}$$

or, $$r \propto m$$

$$\therefore$$ $${r_e} < {r_p}$$ as $${m_e} < {m_p}$$

Further, $$T = {{2\pi m} \over {Bq}}$$

or $$T \propto m$$ $$\therefore$$ $${T_e} < {T_p}$$

$${t_e} = {{{T_e}} \over 2}$$

and $${t_p} = {{{T_p}} \over 2}$$

or $${t_e} < {t_p}$$

$$\therefore$$ Correct options are (b) and (d).

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