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  4. Ionized hydrogen atoms and α-particles with same momenta enters perpendicular to a constant magnetic field. B. The ratio of their radii of their paths rH: rα will be :

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Q. 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 $r_H : r_\alpha$ will be :

NEETNEET 2019Moving Charges and Magnetism

Solution:

$r_{H} = \frac{p}{eB}$
$ r_{\alpha} = \frac{p}{2eB} $
$ \frac{r_{H}}{r_{\alpha} } = \frac{\frac{p}{eB}}{\frac{p}{2eB}} $
$ \frac{r_{H}}{r_{\alpha}} = \frac{2}{1} $