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NEET 2019 · Moving Charge in a Magnetic Field

Moving Charge in a Magnetic Field question from NEET 2019

Q85NEET 2019Easy

Moving Charge in a Magnetic Field

Ionized hydrogen atoms and $\alpha$ -particles with same momenta enters perpendicular to a constant magnetic field, B. The ratio of their radii of their paths rH: r $\alpha$ will be:

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Answer: (d)

$r = \frac{p}{qB}$ ; with the same $p$ and $B$ , $r \propto \frac{1}{q}$ .
$q_H = e$ , $q_\alpha = 2e$ , so $\frac{r_H}{r_\alpha} = \frac{2e}{e} = 2$
So the answer is (d) 2 : 1.

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