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?

They will come out travelling along parallel paths

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They will come out at the same time

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They will come out at different times

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They will never come out of the magnetic field region

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Solution

The correct option is C They will come out at different times

$\frac{m v^{2}}{r} = q v B$

$\Rightarrow r = \frac{m v}{q B}$

$m_{e} < m_{p}$

$\Rightarrow r_{e} < r_{p}$

$\Rightarrow t_{e} < t_{p}$

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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?

The correct option is C They will come out at different times mv2r=qvB ⇒r=mvqB me<mp ⇒re<rp ⇒te<tp

The correct option is C They will come out at different times

$\frac{m v^{2}}{r} = q v B$

$\Rightarrow r = \frac{m v}{q B}$

$m_{e} < m_{p}$

$\Rightarrow r_{e} < r_{p}$

$\Rightarrow t_{e} < t_{p}$