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

medium

Moving Charges and Magnetism

2019

physics

2 : 1

1 : 2

4 : 1

1 : 4

Explanation

To solve this problem, we need to use the formula for the radius of the path of a charged particle moving in a magnetic field. $\\$ The radius $r$ of the path of a charged particle in a magnetic field is given by: $\\ r = \frac{p}{qB} \\$

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Ionized hydrogen atoms and α \alphaα-particles with same momenta enter perpendicular to a constant magnetic field, B BB. The ratio of their radii of their paths rH:rα r_H : r_\alpha rH​:rα​ will be:

Explanation

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